{"id":38,"date":"2022-05-29T08:11:08","date_gmt":"2022-05-29T06:11:08","guid":{"rendered":"https:\/\/bizbergthemes.com\/epic-business-event\/?page_id=38"},"modified":"2026-02-18T13:38:11","modified_gmt":"2026-02-18T12:38:11","slug":"kvantummernok","status":"publish","type":"page","link":"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/","title":{"rendered":"Kvantumm\u00e9rn\u00f6k MSc"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"38\" class=\"elementor elementor-38\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2bf7c90 elementor-reverse-tablet elementor-reverse-mobile elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2bf7c90\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;shape_divider_bottom&quot;:&quot;curve&quot;,&quot;shape_divider_bottom_negative&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"true\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 1000 100\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M500,97C126.7,96.3,0.8,19.8,0,0v100l1000,0V1C1000,19.4,873.3,97.8,500,97z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-wider\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-d1c2e2b elementor-invisible\" data-id=\"d1c2e2b\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInLeft&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-57d7c86 elementor-widget elementor-widget-image\" data-id=\"57d7c86\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.23.0 - 25-07-2024 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"940\" height=\"788\" src=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2023\/10\/kepzesek-fooldali-kep-33.png\" class=\"attachment-full size-full wp-image-676\" alt=\"\" srcset=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2023\/10\/kepzesek-fooldali-kep-33.png 940w, https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2023\/10\/kepzesek-fooldali-kep-33-300x251.png 300w, https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2023\/10\/kepzesek-fooldali-kep-33-768x644.png 768w\" sizes=\"(max-width: 940px) 100vw, 940px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-6d93012 elementor-invisible\" data-id=\"6d93012\" data-element_type=\"column\" data-settings=\"{&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c6ed6a5 elementor-widget elementor-widget-heading\" data-id=\"c6ed6a5\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.23.0 - 25-07-2024 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">\u00c1llj a technol\u00f3giai forradalom \u00e9l\u00e9re!<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element 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class=\"elementor-icon elementor-divider__element\">\n\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-graduation-cap\"><\/i><\/div>\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f908fce elementor-widget elementor-widget-heading\" data-id=\"f908fce\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Kvantumm\u00e9rn\u00f6k MSc <br>a P\u00e1zm\u00e1ny ITK-n<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-d2cdc46 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d2cdc46\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-15f6f1b\" data-id=\"15f6f1b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-336482c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"336482c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-c2b9fa6\" data-id=\"c2b9fa6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-1fe99dd elementor-hidden-desktop elementor-hidden-tablet elementor-hidden-mobile elementor-invisible\" data-id=\"1fe99dd\" data-element_type=\"column\" data-settings=\"{&quot;animation&quot;:&quot;fadeInUp&quot;,&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6f81cb6 elementor-widget elementor-widget-image-box\" data-id=\"6f81cb6\" data-element_type=\"widget\" data-widget_type=\"image-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.23.0 - 25-07-2024 *\/\n.elementor-widget-image-box .elementor-image-box-content{width:100%}@media (min-width:768px){.elementor-widget-image-box.elementor-position-left .elementor-image-box-wrapper,.elementor-widget-image-box.elementor-position-right .elementor-image-box-wrapper{display:flex}.elementor-widget-image-box.elementor-position-right .elementor-image-box-wrapper{text-align:end;flex-direction:row-reverse}.elementor-widget-image-box.elementor-position-left .elementor-image-box-wrapper{text-align:start;flex-direction:row}.elementor-widget-image-box.elementor-position-top .elementor-image-box-img{margin:auto}.elementor-widget-image-box.elementor-vertical-align-top .elementor-image-box-wrapper{align-items:flex-start}.elementor-widget-image-box.elementor-vertical-align-middle .elementor-image-box-wrapper{align-items:center}.elementor-widget-image-box.elementor-vertical-align-bottom .elementor-image-box-wrapper{align-items:flex-end}}@media (max-width:767px){.elementor-widget-image-box .elementor-image-box-img{margin-left:auto!important;margin-right:auto!important;margin-bottom:15px}}.elementor-widget-image-box .elementor-image-box-img{display:inline-block}.elementor-widget-image-box .elementor-image-box-title a{color:inherit}.elementor-widget-image-box .elementor-image-box-wrapper{text-align:center}.elementor-widget-image-box .elementor-image-box-description{margin:0}<\/style><div class=\"elementor-image-box-wrapper\"><div class=\"elementor-image-box-content\"><h3 class=\"elementor-image-box-title\">Tudj meg t\u00f6bbet ny\u00edlt napunkon!<\/h3><p class=\"elementor-image-box-description\"><b>2026. janu\u00e1r 22.<\/b><br>C\u00edm\u00fcnk: BUDAPEST, Pr\u00e1ter utca 50\/a<\/p><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a6fb2da elementor-align-center elementor-widget elementor-widget-button\" data-id=\"a6fb2da\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xl\" href=\"https:\/\/forms.office.com\/e\/KmUfkysD5b?origin=lprLink\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Regisztr\u00e1lok!<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d1c9c2e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d1c9c2e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-cce3d2d\" data-id=\"cce3d2d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-43d790c elementor-widget elementor-widget-spacer\" data-id=\"43d790c\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.23.0 - 25-07-2024 *\/\n.elementor-column .elementor-spacer-inner{height:var(--spacer-size)}.e-con{--container-widget-width:100%}.e-con-inner>.elementor-widget-spacer,.e-con>.elementor-widget-spacer{width:var(--container-widget-width,var(--spacer-size));--align-self:var(--container-widget-align-self,initial);--flex-shrink:0}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container,.e-con>.elementor-widget-spacer>.elementor-widget-container{height:100%;width:100%}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer,.e-con>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer{height:100%}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer>.elementor-spacer-inner,.e-con>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer>.elementor-spacer-inner{height:var(--container-widget-height,var(--spacer-size))}.e-con-inner>.elementor-widget-spacer.elementor-widget-empty,.e-con>.elementor-widget-spacer.elementor-widget-empty{position:relative;min-height:22px;min-width:22px}.e-con-inner>.elementor-widget-spacer.elementor-widget-empty .elementor-widget-empty-icon,.e-con>.elementor-widget-spacer.elementor-widget-empty .elementor-widget-empty-icon{position:absolute;top:0;bottom:0;left:0;right:0;margin:auto;padding:0;width:22px;height:22px}<\/style>\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2404693 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2404693\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-bd0afa1 elementor-invisible\" data-id=\"bd0afa1\" data-element_type=\"column\" data-settings=\"{&quot;animation&quot;:&quot;fadeInLeft&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bc575de elementor-widget elementor-widget-heading\" data-id=\"bc575de\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Kvantumtechnol\u00f3gi\u00e1kra felk\u00e9sz\u00edt\u0151 m\u00e9rn\u00f6kk\u00e9pz\u00e9s<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-751b7ee elementor-widget elementor-widget-text-editor\" data-id=\"751b7ee\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.23.0 - 25-07-2024 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p>A kvantumm\u00e9rn\u00f6k mesterszak olyan m\u00e9rn\u00f6k\u00f6ket k\u00e9pez, akik \u00e9rtik a kvantumfizika alapjait, \u00e9s k\u00e9pesek az erre \u00e9p\u00fcl\u0151 technol\u00f3gi\u00e1k \u2013 p\u00e9ld\u00e1ul kvantumsz\u00e1m\u00edt\u00e1s, kvantumkommunik\u00e1ci\u00f3 \u00e9s kvantumszenzorok \u2013 m\u00e9rn\u00f6ki alkalmaz\u00e1s\u00e1ra. A k\u00e9pz\u00e9s er\u0151s elm\u00e9leti alapokra \u00e9p\u00edt, ugyanakkor gyakorlatorient\u00e1lt tud\u00e1st ad a j\u00f6v\u0151 technol\u00f3gi\u00e1iban dolgoz\u00f3 szakemberek sz\u00e1m\u00e1ra.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bae9678 elementor-view-framed elementor-position-left elementor-vertical-align-middle elementor-shape-circle elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"bae9678\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<link rel=\"stylesheet\" href=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/plugins\/elementor\/assets\/css\/widget-icon-box.min.css\">\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon elementor-animation-\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-book-open\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tAngol nyelv\u0171 k\u00e9pz\u00e9s\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9df57d0 elementor-view-framed elementor-position-left elementor-vertical-align-middle elementor-shape-circle elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"9df57d0\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon elementor-animation-\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-clock\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tK\u00e9pz\u00e9si id\u0151: 4 f\u00e9l\u00e9v\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4088a63 elementor-view-framed elementor-position-left elementor-vertical-align-middle elementor-shape-circle elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"4088a63\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon elementor-animation-\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-user-graduate\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tBemeneti k\u00f6vetelm\u00e9ny:\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<p class=\"elementor-icon-box-description\">\n\t\t\t\t\t\tBSc oklev\u00e9l \u00e9s B2 komplex \u00e1llamilag elismert angol nyelvvizsga \t\t\t\t\t<\/p>\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-167cd66 elementor-invisible\" data-id=\"167cd66\" data-element_type=\"column\" data-settings=\"{&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c9532db elementor-widget elementor-widget-spacer\" data-id=\"c9532db\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c44d6c4 elementor-widget__width-initial elementor-widget elementor-widget-image\" data-id=\"c44d6c4\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"640\" height=\"427\" src=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2023\/10\/82731_nano_technology-1024x683.jpg\" class=\"attachment-large size-large wp-image-656\" alt=\"\" srcset=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2023\/10\/82731_nano_technology-1024x683.jpg 1024w, https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2023\/10\/82731_nano_technology-300x200.jpg 300w, https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2023\/10\/82731_nano_technology-768x512.jpg 768w, https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2023\/10\/82731_nano_technology-600x400.jpg 600w, https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2023\/10\/82731_nano_technology.jpg 1280w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1c50380 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1c50380\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-wider\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-08be667 elementor-invisible\" data-id=\"08be667\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInLeft&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-50c1a82 elementor-widget elementor-widget-spacer\" data-id=\"50c1a82\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-bd3741d elementor-invisible\" data-id=\"bd3741d\" data-element_type=\"column\" data-settings=\"{&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-66b67d9 elementor-widget elementor-widget-heading\" data-id=\"66b67d9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Tanulj a kvantumtechnol\u00f3gi\u00e1kr\u00f3l, tanulj a j\u00f6v\u0151 mozgat\u00f3rug\u00f3j\u00e1r\u00f3l<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aa52e98 elementor-widget elementor-widget-heading\" data-id=\"aa52e98\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"elementor-heading-title elementor-size-default\">Az elk\u00f6vetkez\u0151 \u00e9vekben a kvantumtechnol\u00f3gi\u00e1n alapul\u00f3 m\u00e9r\u0151eszk\u00f6z\u00f6k \u00e9s sz\u00e1m\u00edt\u00f3g\u00e9pek, kvantumelektronikai eszk\u00f6z\u00f6k, robban\u00e1sszer\u0171 elterjed\u00e9se v\u00e1rhat\u00f3. B\u00e1r a modern inform\u00e1ci\u00f3technol\u00f3gia eszk\u00f6zei (integr\u00e1lt \u00e1ramk\u00f6r\u00f6k, l\u00e9zerek) m\u00e1r most is kvantummechanika elvei alapj\u00e1n m\u0171k\u00f6dnek, a k\u00f6vetkez\u0151 \u00e9vtizedekben az aut\u00f3ipari m\u0171szerek, a gy\u00f3gyszeripar, a chiptervez\u00e9s, orvosi m\u0171szerek tervez\u00e9se \u00e9s a mesters\u00e9ges intelligencia algoritmusok programoz\u00e1sa mind elk\u00e9pzelhetetlen lesz a kvantummechanika ismerete n\u00e9lk\u00fcl. \n\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6dc46e5 elementor-reverse-tablet elementor-reverse-mobile elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6dc46e5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-wider\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-fead51a elementor-invisible\" data-id=\"fead51a\" data-element_type=\"column\" data-settings=\"{&quot;animation&quot;:&quot;fadeInLeft&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-949d2fd elementor-widget elementor-widget-heading\" data-id=\"949d2fd\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Szem\u00e9lyre szabott m\u00e9rn\u00f6ki oktat\u00e1s<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-043908d elementor-widget__width-initial elementor-widget elementor-widget-heading\" data-id=\"043908d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"elementor-heading-title elementor-size-default\">A kvantumm\u00e9rn\u00f6k szak kifejezetten m\u00e9rn\u00f6ki szak \u2013 b\u00e1r a szok\u00e1sos m\u00e9rn\u00f6ki k\u00e9pz\u00e9sekn\u00e9l magasabb matematikai, fizikai, sz\u00e1m\u00edt\u00e1selm\u00e9leti tud\u00e1s \u00e1tad\u00e1s\u00e1val c\u00e9lja els\u0151sorban ipari kutat\u00f3-fejleszt\u0151 szakemberek k\u00e9pz\u00e9se, de fizikus alapv\u00e9gzetts\u00e9ggel is sz\u00edvesen fogadjuk a hallgat\u00f3kat.<br>\nA k\u00e9pz\u00e9s jelent\u0151s r\u00e9szben projekt alap\u00fa, a hallgat\u00f3 egy\u00e9ni ig\u00e9nyei szerinti hangs\u00fallyal szerepelhet benne elm\u00e9leti, szoftvertervez\u00e9si vagy k\u00eds\u00e9rleti jelleg\u0171 tud\u00e1s.\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-5e6d203 elementor-invisible\" data-id=\"5e6d203\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7c47d69 elementor-widget elementor-widget-spacer\" data-id=\"7c47d69\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3f8bb8d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3f8bb8d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7b84780\" data-id=\"7b84780\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7dac0be elementor-hidden-mobile elementor-widget elementor-widget-spacer\" data-id=\"7dac0be\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d36a436 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"d36a436\" data-element_type=\"section\" data-settings=\"{&quot;shape_divider_bottom&quot;:&quot;curve&quot;,&quot;shape_divider_bottom_negative&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"true\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 1000 100\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M500,97C126.7,96.3,0.8,19.8,0,0v100l1000,0V1C1000,19.4,873.3,97.8,500,97z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-215b7be\" data-id=\"215b7be\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-559cc8b elementor-widget elementor-widget-spacer\" data-id=\"559cc8b\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-de36516 elementor-widget elementor-widget-spacer\" data-id=\"de36516\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2d49d9e elementor-widget elementor-widget-heading\" data-id=\"2d49d9e\" data-element_type=\"widget\" id=\"kiemelt-fokuszteruletek\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Kiemelt f\u00f3kuszter\u00fcletek<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-02e9fe5 elementor-widget-divider--view-line_icon elementor-hidden-mobile elementor-view-default elementor-widget-divider--element-align-center elementor-invisible elementor-widget elementor-widget-divider\" data-id=\"02e9fe5\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon elementor-divider__element\">\n\t\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-circle\"><\/i><\/div>\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-ff24718 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ff24718\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-fb8d3ab elementor-invisible\" data-id=\"fb8d3ab\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInLeft&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ec66c54 elementor-widget elementor-widget-image-box\" data-id=\"ec66c54\" data-element_type=\"widget\" data-widget_type=\"image-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"elementor-image-box-wrapper\"><div class=\"elementor-image-box-content\"><h2 class=\"elementor-image-box-title\">Kvantum-<br>algoritmusok<\/h2><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-1096bd9 elementor-invisible\" data-id=\"1096bd9\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInUp&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cd0844b elementor-widget elementor-widget-image-box\" data-id=\"cd0844b\" data-element_type=\"widget\" data-widget_type=\"image-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"elementor-image-box-wrapper\"><div class=\"elementor-image-box-content\"><h2 class=\"elementor-image-box-title\">Kvantum\u00e9rz\u00e9kel\u0151k elm\u00e9lete<\/h2><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-96a878b elementor-invisible\" data-id=\"96a878b\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-04abbad elementor-widget elementor-widget-image-box\" data-id=\"04abbad\" data-element_type=\"widget\" data-widget_type=\"image-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"elementor-image-box-wrapper\"><div class=\"elementor-image-box-content\"><h2 class=\"elementor-image-box-title\">Nanotechnol\u00f3gia<\/h2><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-40486a9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"40486a9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-9677356 elementor-invisible\" data-id=\"9677356\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInLeft&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7bbfef1 elementor-widget elementor-widget-image-box\" data-id=\"7bbfef1\" data-element_type=\"widget\" data-widget_type=\"image-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"elementor-image-box-wrapper\"><div class=\"elementor-image-box-content\"><h2 class=\"elementor-image-box-title\">Integr\u00e1lt fotonikai rendszerek<\/h2><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-b9c3a18 elementor-invisible\" data-id=\"b9c3a18\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInUp&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-faf0913 elementor-widget elementor-widget-image-box\" data-id=\"faf0913\" data-element_type=\"widget\" data-widget_type=\"image-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"elementor-image-box-wrapper\"><div class=\"elementor-image-box-content\"><h2 class=\"elementor-image-box-title\">Modellez\u00e9s<\/h2><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-119da5e elementor-invisible\" data-id=\"119da5e\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-19e548b elementor-widget elementor-widget-image-box\" data-id=\"19e548b\" data-element_type=\"widget\" data-widget_type=\"image-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"elementor-image-box-wrapper\"><div class=\"elementor-image-box-content\"><h2 class=\"elementor-image-box-title\">Mikroelektronika \u00e9s f\u00e9lvezet\u0151k<\/h2><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-cdc8111 elementor-widget elementor-widget-spacer\" data-id=\"cdc8111\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ce69589 elementor-widget elementor-widget-spacer\" data-id=\"ce69589\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6f65462 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6f65462\" data-element_type=\"section\" data-settings=\"{&quot;shape_divider_bottom_negative&quot;:&quot;yes&quot;,&quot;shape_divider_bottom&quot;:&quot;curve&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"true\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 1000 100\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M500,97C126.7,96.3,0.8,19.8,0,0v100l1000,0V1C1000,19.4,873.3,97.8,500,97z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fd6b9c1\" data-id=\"fd6b9c1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-87051b2 elementor-widget elementor-widget-spacer\" data-id=\"87051b2\" data-element_type=\"widget\" id=\"kiemelt-oktatoink\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e01ff0e elementor-widget elementor-widget-menu-anchor\" data-id=\"e01ff0e\" data-element_type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.23.0 - 25-07-2024 *\/\nbody.elementor-page .elementor-widget-menu-anchor{margin-bottom:0}<\/style>\t\t<div class=\"elementor-menu-anchor\" id=\"oktatok\"><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7a27cdd elementor-widget elementor-widget-heading\" data-id=\"7a27cdd\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Kiemelt oktat\u00f3ink<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6e4791d elementor-widget-divider--view-line_icon elementor-view-default elementor-widget-divider--element-align-center elementor-invisible elementor-widget elementor-widget-divider\" data-id=\"6e4791d\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon elementor-divider__element\">\n\t\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-circle\"><\/i><\/div>\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2ee281d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2ee281d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-653403f\" data-id=\"653403f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ec701f1 elementor-widget__width-initial eael-team-align-centered elementor-widget elementor-widget-eael-team-member\" data-id=\"ec701f1\" data-element_type=\"widget\" data-widget_type=\"eael-team-member.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\n\n\t<div id=\"eael-team-member-ec701f1\" class=\"eael-team-item eael-team-members-simple team-avatar-rounded\">\n\t\t<div class=\"eael-team-item-inner\">\n\t\t\t<div class=\"eael-team-image\">\n\t\t\t\t<figure>\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2024\/02\/Csaba-Gyorgy_webp.webp\" alt=\"A P\u00e1zm\u00e1ny ITK-ra \u00e9rkez\u00e9se el\u0151tt a Notre Dame Egyetemen volt kutat\u00f3professzor. Kutat\u00e1sainak t\u00e9m\u00e1ja a sz\u00e1m\u00edt\u00e1sok v\u00e9gz\u00e9s\u00e9nek fizik\u00e1ja, \u00e9s magnetoelektronika, \u00e9s ezt a kutat\u00e1st t\u00f6bb neves k\u00fclf\u00f6ldi egyetemmel, p\u00e9ld\u00e1ul a M\u00fcncheni M\u0171szaki Egyetemmel \u00e9s a Notre Dame Egyetemmel val\u00f3 egy\u00fcttm\u0171k\u00f6d\u00e9sben v\u00e9gzi. A kvantumm\u00e9rn\u00f6k mesterk\u00e9pz\u00e9s szakfelel\u0151se.\">\n\t\t\t\t<\/figure>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\n\t\t\t<div class=\"eael-team-content\">\n\t\t\t\t<h2 class=\"eael-team-member-name\">Csaba Gy\u00f6rgy<\/h2><h3 class=\"eael-team-member-position\">egyetemi tan\u00e1r<\/h3>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<p class=\"eael-team-text\">A P\u00e1zm\u00e1ny ITK-ra \u00e9rkez\u00e9se el\u0151tt a  Notre Dame Egyetemen  volt kutat\u00f3professzor. Kutat\u00e1sainak t\u00e9m\u00e1ja a sz\u00e1m\u00edt\u00e1sok v\u00e9gz\u00e9s\u00e9nek fizik\u00e1ja, \u00e9s magnetoelektronika, \u00e9s ezt a kutat\u00e1st t\u00f6bb neves k\u00fclf\u00f6ldi egyetemmel, p\u00e9ld\u00e1ul a M\u00fcncheni M\u0171szaki Egyetemmel \u00e9s a Notre Dame Egyetemmel val\u00f3 egy\u00fcttm\u0171k\u00f6d\u00e9sben v\u00e9gzi. A kvantumm\u00e9rn\u00f6k mesterk\u00e9pz\u00e9s szakfelel\u0151se.<\/p>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-476e4e6\" data-id=\"476e4e6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-551e15d elementor-widget__width-initial eael-team-align-centered elementor-widget elementor-widget-eael-team-member\" data-id=\"551e15d\" data-element_type=\"widget\" data-widget_type=\"eael-team-member.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\n\n\t<div id=\"eael-team-member-551e15d\" class=\"eael-team-item eael-team-members-simple team-avatar-rounded\">\n\t\t<div class=\"eael-team-item-inner\">\n\t\t\t<div class=\"eael-team-image\">\n\t\t\t\t<figure>\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2024\/02\/Kovacs-Mihaly_kepzes_webp.webp\" alt=\"Kov\u00e1cs Mih\u00e1ly az Alkalmazott matematika kutat\u00f3csoport vezet\u0151je\">\n\t\t\t\t<\/figure>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\n\t\t\t<div class=\"eael-team-content\">\n\t\t\t\t<h2 class=\"eael-team-member-name\">Kov\u00e1cs Mih\u00e1ly<\/h2><h3 class=\"eael-team-member-position\">egyetemi tan\u00e1r<\/h3>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<p class=\"eael-team-text\">Az Alkalmazott matematika kutat\u00f3csoport vezet\u0151je a P\u00e1zm\u00e1ny ITK-n. Doktori fokozat\u00e1t az Egyes\u00fclt \u00c1llamokban szerezte, kutat\u00e1sai sor\u00e1n hosszabb id\u0151t t\u00f6lt\u00f6tt Sv\u00e9dorsz\u00e1gban.<\/p>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-7757366\" data-id=\"7757366\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4d137a1 elementor-widget__width-initial eael-team-align-centered elementor-widget elementor-widget-eael-team-member\" data-id=\"4d137a1\" data-element_type=\"widget\" data-widget_type=\"eael-team-member.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\n\n\t<div id=\"eael-team-member-4d137a1\" class=\"eael-team-item eael-team-members-simple team-avatar-rounded\">\n\t\t<div class=\"eael-team-item-inner\">\n\t\t\t<div class=\"eael-team-image\">\n\t\t\t\t<figure>\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2024\/02\/Horvath-Andras_webp.webp\" alt=\"Horv\u00e1th Andr\u00e1s a mesters\u00e9ges intelligencia, m\u00e9lyneur\u00e1lis h\u00e1l\u00f3zatok kutat\u00f3ja, k\u00e9pfeldolgoz\u00e1ssal kapcsolatos eredm\u00e9nyeit orvosi k\u00f6rnyezetben is alkalmazz\u00e1k.\">\n\t\t\t\t<\/figure>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\n\t\t\t<div class=\"eael-team-content\">\n\t\t\t\t<h2 class=\"eael-team-member-name\">Horv\u00e1th Andr\u00e1s<\/h2><h3 class=\"eael-team-member-position\">egyetemi docens<\/h3>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<p class=\"eael-team-text\">A mesters\u00e9ges intelligencia, m\u00e9lyneur\u00e1lis h\u00e1l\u00f3zatok kutat\u00f3ja, k\u00e9pfeldolgoz\u00e1ssal kapcsolatos eredm\u00e9nyeit orvosi k\u00f6rnyezetben is alkalmazz\u00e1k.<\/p>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-eb34cc7\" data-id=\"eb34cc7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a982eb5 elementor-widget__width-initial eael-team-align-centered elementor-widget elementor-widget-eael-team-member\" data-id=\"a982eb5\" data-element_type=\"widget\" data-widget_type=\"eael-team-member.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\n\n\t<div id=\"eael-team-member-a982eb5\" class=\"eael-team-item eael-team-members-simple team-avatar-rounded\">\n\t\t<div class=\"eael-team-item-inner\">\n\t\t\t<div class=\"eael-team-image\">\n\t\t\t\t<figure>\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2024\/02\/Cserey-Gyorgy_webp.webp\" alt=\"Cserey Gy\u00f6rgy kutat\u00e1si \u00e9s fejleszt\u00e9si tapasztalattal rendelkezik sz\u00e1m\u00edt\u00e1sos kvantumk\u00e9miai algoritmusok sokprocesszoros rendszerekre t\u00f6rt\u00e9n\u0151 implement\u00e1ci\u00f3j\u00e1nak \u00e9s optimaliz\u00e1ci\u00f3j\u00e1nak ter\u00fclet\u00e9n. A t\u00e9m\u00e1ban megjelent publik\u00e1ci\u00f3i neves foly\u00f3iratokban jelentek meg, felk\u00e9rt szak\u00e9rt\u0151k\u00e9nt t\u00f6bb nemzetk\u00f6zi kvantum-sz\u00e1m\u00edt\u00e1sos kutat\u00e1si p\u00e1ly\u00e1zat elb\u00edr\u00e1l\u00e1s\u00e1ban vett m\u00e1r r\u00e9szt.\">\n\t\t\t\t<\/figure>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\n\t\t\t<div class=\"eael-team-content\">\n\t\t\t\t<h2 class=\"eael-team-member-name\">Cserey Gy\u00f6rgy<\/h2><h3 class=\"eael-team-member-position\">egyetemi tan\u00e1r<\/h3>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<p class=\"eael-team-text\">Kutat\u00e1si \u00e9s fejleszt\u00e9si tapasztalattal rendelkezik sz\u00e1m\u00edt\u00e1sos kvantumk\u00e9miai algoritmusok sokprocesszoros rendszerekre t\u00f6rt\u00e9n\u0151 implement\u00e1ci\u00f3j\u00e1nak \u00e9s optimaliz\u00e1ci\u00f3j\u00e1nak ter\u00fclet\u00e9n.\nA t\u00e9m\u00e1ban megjelent publik\u00e1ci\u00f3i neves foly\u00f3iratokban jelentek meg, felk\u00e9rt szak\u00e9rt\u0151k\u00e9nt t\u00f6bb nemzetk\u00f6zi kvantum-sz\u00e1m\u00edt\u00e1sos kutat\u00e1si p\u00e1ly\u00e1zat elb\u00edr\u00e1l\u00e1s\u00e1ban vett m\u00e1r r\u00e9szt.<\/p>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-01ceda0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"01ceda0\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d8b6cac\" data-id=\"d8b6cac\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-aa48bb8 elementor-widget elementor-widget-eael-creative-button\" data-id=\"aa48bb8\" data-element_type=\"widget\" data-widget_type=\"eael-creative-button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t        <div class=\"eael-creative-button-wrapper\">\n\n            <a class=\"eael-creative-button eael-creative-button--default\" href=\"https:\/\/itk.ppke.hu\/kvantummernok-msc\" target=\"_blank\" data-text=\"\">\n\n\t    \n                <div class=\"creative-button-inner\">\n\n                    \n                    <span class=\"cretive-button-text\">Tanterv<\/span>\n\n                                    <\/div>\n\t                        <\/a>\n        <\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e917e90 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e917e90\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6f8a205\" data-id=\"6f8a205\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c37c6e8 eael-dual-header-content-align-center elementor-invisible elementor-widget elementor-widget-eael-dual-color-header\" data-id=\"c37c6e8\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"eael-dual-color-header.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t<div class=\"eael-dual-header\">\n\t\t\t\t<h4 class=\"title\"><span class=\"lead solid-color\">Fontosabb tant\u00e1rgyak<\/span> <span><\/span><\/h4>\t\t\t\t<span class=\"subtext\"><\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"eael-dch-svg-icon\"><\/span>\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-763767b elementor-widget-divider--view-line_icon elementor-view-default elementor-widget-divider--element-align-center elementor-invisible elementor-widget elementor-widget-divider\" data-id=\"763767b\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon elementor-divider__element\">\n\t\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-circle\"><\/i><\/div>\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15bf854 elementor-widget elementor-widget-heading\" data-id=\"15bf854\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Term\u00e9szettudom\u00e1nyos ismeretek<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f529072 elementor-widget elementor-widget-accordion\" data-id=\"f529072\" data-element_type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.23.0 - 25-07-2024 *\/\n.elementor-accordion{text-align:start}.elementor-accordion .elementor-accordion-item{border:1px solid #d5d8dc}.elementor-accordion .elementor-accordion-item+.elementor-accordion-item{border-top:none}.elementor-accordion .elementor-tab-title{margin:0;padding:15px 20px;font-weight:700;line-height:1;cursor:pointer;outline:none}.elementor-accordion .elementor-tab-title .elementor-accordion-icon{display:inline-block;width:1.5em}.elementor-accordion .elementor-tab-title .elementor-accordion-icon svg{width:1em;height:1em}.elementor-accordion .elementor-tab-title .elementor-accordion-icon.elementor-accordion-icon-right{float:right;text-align:right}.elementor-accordion .elementor-tab-title .elementor-accordion-icon.elementor-accordion-icon-left{float:left;text-align:left}.elementor-accordion .elementor-tab-title .elementor-accordion-icon .elementor-accordion-icon-closed{display:block}.elementor-accordion .elementor-tab-title .elementor-accordion-icon .elementor-accordion-icon-opened,.elementor-accordion .elementor-tab-title.elementor-active .elementor-accordion-icon-closed{display:none}.elementor-accordion .elementor-tab-title.elementor-active .elementor-accordion-icon-opened{display:block}.elementor-accordion .elementor-tab-content{display:none;padding:15px 20px;border-top:1px solid #d5d8dc}@media (max-width:767px){.elementor-accordion .elementor-tab-title{padding:12px 15px}.elementor-accordion .elementor-tab-title .elementor-accordion-icon{width:1.2em}.elementor-accordion .elementor-tab-content{padding:7px 15px}}.e-con-inner>.elementor-widget-accordion,.e-con>.elementor-widget-accordion{width:var(--container-widget-width);--flex-grow:var(--container-widget-flex-grow)}<\/style>\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2571\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2571\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">A kvantummechanika matematikai alapjai<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2571\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2571\"><p>A t\u00e1rgy c\u00e9lja a kvantummechanika \u00e9s a kvantuminform\u00e1ci\u00f3elm\u00e9let matematikai\u00a0 eszk\u00f6zt\u00e1r\u00e1nak bemutat\u00e1sa, a kvantummechanik\u00e1val foglalkoz\u00f3 k\u00e9s\u0151bbi kurzusokhoz sz\u00fcks\u00e9ges matematikai tud\u00e1s k\u00e9szs\u00e9gek megalapoz\u00e1sa<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2572\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-2572\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">A sz\u00e1m\u00edt\u00e1sok fizikai alapjai I.<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2572\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-2572\"><p>A sz\u00e1m\u00edt\u00e1stechnikai modellek \u00e1ttekint\u00e9se, k\u00fcl\u00f6n\u00f6s tekintettel a m\u00f6g\u00f6tt\u00fck \u00e1ll\u00f3 hardverre \u00e9s a non Boolean, neuromorf alap\u00fa sz\u00e1m\u00edt\u00e1si modellekre.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2573\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-2573\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Kvantummechanika alapjai<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2573\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-2573\"><p>A t\u00e1rgyban kvantummechanika (els\u0151sorban a hull\u00e1m mechanika) alapelvei ker\u00fclnek t\u00e1rgyal\u00e1sra. Bemutatja a kvantummechanika alkalmaz\u00e1sait a k\u00e9mi\u00e1ban \u00e9s a f\u00e9lvezet\u0151 fizik\u00e1ban.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2574\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-2574\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">A kvantummechanika numerikus m\u00f3dszerei<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2574\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-2574\"><p>Gyakorlatorient\u00e1lt bevezet\u00e9s a kvantummechanika numerikus m\u00f3dszereibe.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2575\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-2575\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">A sz\u00e1m\u00edt\u00e1sok fizikai alapjai II.<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2575\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-2575\"><p>A kvantumsz\u00e1m\u00edt\u00e1stechnika nagy\u00edv\u0171 bevezet\u00e9se, nagy hangs\u00falyt fektetve az azokat megval\u00f3s\u00edt\u00f3 hardverre.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2576\" class=\"elementor-tab-title\" data-tab=\"6\" role=\"button\" aria-controls=\"elementor-tab-content-2576\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Elektrom\u00e1gneses metaanyagok \u00e9s alkalmaz\u00e1saik<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2576\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"6\" role=\"region\" aria-labelledby=\"elementor-tab-title-2576\"><p>Az el\u0151ad\u00e1sok c\u00e9lja, hogy a m\u00e9rn\u00f6khallgat\u00f3kkal megismertesse az elektrom\u00e1gneses hull\u00e1mok \u00e9s a mesters\u00e9ges elektrom\u00e1gneses szerkezetek (kompozitok, metaanyagok \u00e9s fotonikus krist\u00e1lyok) k\u00f6lcs\u00f6nhat\u00e1s\u00e1nak t\u00e9m\u00e1j\u00e1t.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2577\" class=\"elementor-tab-title\" data-tab=\"7\" role=\"button\" aria-controls=\"elementor-tab-content-2577\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Optikai \u00e9s fotonikai eszk\u00f6z\u00f6k<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2577\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"7\" role=\"region\" aria-labelledby=\"elementor-tab-title-2577\"><p>A kurzus c\u00e9lja: egyr\u00e9szt a klasszikus hull\u00e1moptik\u00e1nak t\u00f6m\u00f6r bemutat\u00e1sa, m\u00e1sr\u00e9szt a fotonikai eszk\u00f6z\u00f6k \u00e9s a kvantumelektrodinamika eszk\u00f6zorient\u00e1lt szemsz\u00f6gb\u0151l t\u00f6rt\u00e9n\u0151 t\u00e1rgyal\u00e1sa.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a3f6568 elementor-widget elementor-widget-spacer\" data-id=\"a3f6568\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-02b080e elementor-widget elementor-widget-heading\" data-id=\"02b080e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">M\u0171szaki szakmai ismeretek<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-14dede4 elementor-widget elementor-widget-accordion\" data-id=\"14dede4\" data-element_type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2181\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2181\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">\u00c1ramk\u00f6r\u00f6k \u00e9s h\u00e1l\u00f3zatok<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2181\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2181\"><p>A klasszikus \u00e1ramk\u00f6relm\u00e9let alapjai, az alapelveket gyakorlatban bemutat\u00f3 laborgyakorlattal. Az \u00f3ra egyik c\u00e9lja, hogy a hallgat\u00f3k meg\u00e9rts\u00e9k azon klasszikus elektromos komponensek viselked\u00e9s\u00e9t, amelyek l\u00e9nyeges r\u00e9szei minden praktikus kvantumhardvernek is.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2182\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-2182\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Nanoelektronika \u00e9s nanotechnol\u00f3gia<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2182\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-2182\"><p>A t\u00e1rgy c\u00e9lja, hogy \u00e1ttekint\u00e9st adjon a nanotechnol\u00f3gi\u00e1r\u00f3l \u00e9s a nanoelektronik\u00e1r\u00f3l. A mikroelektronikai gy\u00e1rt\u00e1s f\u0151bb eszk\u00f6zei \u00e9s m\u00f3dszerei is bemutat\u00e1sra ker\u00fclnek.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2183\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-2183\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Python tudom\u00e1nyos sz\u00e1m\u00edt\u00e1sokra<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2183\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-2183\"><p>Matlab \u00e9s Python programoz\u00e1si alapok, amelyek felk\u00e9sz\u00edtik a hallgat\u00f3t arra, hogy saj\u00e1t k\u00f3dokat tudjon k\u00e9sz\u00edteni modellez\u00e9si \u00e9s szimul\u00e1ci\u00f3s probl\u00e9m\u00e1khoz. Nagy hangs\u00falyt kapnak a m\u00e1trixm\u0171veletek, a differenci\u00e1legyenletek megold\u00e1sa, a g\u00e9pi tanul\u00e1s\/optimaliz\u00e1l\u00e1s, az adatelemz\u00e9s \u00e9s a vizualiz\u00e1ci\u00f3.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2184\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-2184\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Szil\u00e1rdtest \u00e1ramk\u00f6r\u00f6k \u00e9s szenzorok<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2184\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-2184\"><p>Bevezet\u00e9s a f\u00e9lvezet\u0151fizik\u00e1ba \u00e9s a szil\u00e1rdtestfizik\u00e1ba, a sz\u00fcks\u00e9ges szil\u00e1rdtestfizikai h\u00e1tt\u00e9rrel. A t\u00e1rgy m\u00e1sodik fel\u00e9ben a modern f\u00e9lvezet\u0151 \u00e9s kvantumeszk\u00f6z\u00f6k \u00e1llnak a k\u00f6z\u00e9ppontban.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2185\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-2185\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">G\u00e9pi tanul\u00e1s<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2185\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-2185\"><p>Bevezet\u00e9s a g\u00e9pi tanul\u00e1s m\u00f3dszertan\u00e1ba, a m\u00f3dszerek nagy\u00edv\u0171 \u00e1ttekint\u00e9se.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2186\" class=\"elementor-tab-title\" data-tab=\"6\" role=\"button\" aria-controls=\"elementor-tab-content-2186\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Kvantumsz\u00e1m\u00edt\u00f3g\u00e9pek programoz\u00e1sa<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2186\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"6\" role=\"region\" aria-labelledby=\"elementor-tab-title-2186\"><p>A gyakorlat c\u00e9lja, hogy a hallgat\u00f3k egy konkr\u00e9t kvantum sz\u00e1m\u00edt\u00f3g\u00e9p-programoz\u00e1si feladat megold\u00e1sa r\u00e9v\u00e9n m\u00e9ly\u00edts\u00e9k el tud\u00e1sukat a kvantuminformatik\u00e1r\u00f3l.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2187\" class=\"elementor-tab-title\" data-tab=\"7\" role=\"button\" aria-controls=\"elementor-tab-content-2187\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Kvantum- \u00e9s bioszenzorok<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2187\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"7\" role=\"region\" aria-labelledby=\"elementor-tab-title-2187\"><p>Az el\u0151ad\u00e1s k\u00f6zponti t\u00e9m\u00e1ja a k\u00fcl\u00f6nb\u00f6z\u0151 szenzorok (elektromos, mechanikus, k\u00e9miai \u00e9rz\u00e9kel\u0151k), valamint a pontoss\u00e1gukat meghat\u00e1roz\u00f3 \u00e9s korl\u00e1toz\u00f3 fizika meg\u00e9rt\u00e9se.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2188\" class=\"elementor-tab-title\" data-tab=\"8\" role=\"button\" aria-controls=\"elementor-tab-content-2188\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Optikai m\u00e9r\u00e9sek, mikroszk\u00f3pia \u00e9s k\u00e9palkot\u00f3 technik\u00e1k<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2188\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"8\" role=\"region\" aria-labelledby=\"elementor-tab-title-2188\"><p>E t\u00e1rgy az optikai m\u00e9r\u00e9sek, k\u00e9palkot\u00f3 technik\u00e1k fizikai h\u00e1tter\u00e9t mutatja be, f\u0151k\u00e9nt nanorendszerek \u00e9s orvosi diagnosztikai elj\u00e1r\u00e1sok p\u00e9ld\u00e1j\u00e1n. Kisebb m\u00e9lys\u00e9gben foglalkozik nanorendszerek karakteriz\u00e1l\u00e1s\u00e1ra szolg\u00e1l\u00f3 nem optikai elj\u00e1r\u00e1sokkal is.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5f5f4d9 elementor-widget elementor-widget-spacer\" data-id=\"5f5f4d9\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-92a97b8 elementor-widget elementor-widget-heading\" data-id=\"92a97b8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Gazdas\u00e1gi \u00e9s hum\u00e1n ismeretek<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-58fa229 elementor-widget elementor-widget-accordion\" data-id=\"58fa229\" data-element_type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9321\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-9321\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">A kvantumtechnol\u00f3gi\u00e1k t\u00e1rsadalmi \u00e9s gazdas\u00e1gi hat\u00e1sai<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9321\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-9321\"><p>A hallgat\u00f3k csoportmunka \u00e9s irodalom feldolgoz\u00e1s keret\u00e9ben tanulm\u00e1nyozz\u00e1k a kvantum technol\u00f3gi\u00e1k t\u00e1rsadalomra, \u00e9s k\u00f6rnyezetre gyakorolt transzformat\u00edv hat\u00e1s\u00e1t.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9322\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-9322\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Introduction to Startup Innovation<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9322\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-9322\"><p>A kurzus k\u00f6zvetlen c\u00e9lja egy olyan innov\u00e1ci\u00f3s \u00f6kosziszt\u00e9ma alapjainak megteremt\u00e9se, amely seg\u00edti a Karhoz k\u00f6zeli t\u00e9mater\u00fcleteken foly\u00f3 kutat\u00e1sok piaci transzl\u00e1ci\u00f3j\u00e1t, ezzel el\u0151seg\u00edtve, hogy a PPKE-ITK hallgat\u00f3i \u00e9s kutat\u00f3i egy olyan inspir\u00e1l\u00f3 k\u00f6zegben dolgozhassanak innovat\u00edv \u00f6tlet\u00fck\u00f6n, amelyben &#8211; fenntarthat\u00f3 m\u00f3don, \u00e9s motiv\u00e1ltan \u2013 kibontakoztathatj\u00e1k kreativit\u00e1sukat, \u00e9s elsaj\u00e1t\u00edtj\u00e1k azokat az \u00fczleti \u00e9s softskill k\u00e9pess\u00e9geket, amelyek a napjainkban a technol\u00f3gia fejl\u0151d\u00e9st kataliz\u00e1l\u00f3 startup c\u00e9gek kompetit\u00edv vil\u00e1g\u00e1ban a sikerhez legink\u00e1bb sz\u00fcks\u00e9gesek.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9323\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-9323\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Vizu\u00e1lis kult\u00fara \u00e9s kommunik\u00e1ci\u00f3<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9323\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-9323\"><p>A f\u00e9l\u00e9ves t\u00e1rgy az alapoz\u00e1sra \u00e9s a k\u00e9pess\u00e9gfejleszt\u00e9sre koncentr\u00e1l. A kurzus m\u00e1sodik fel\u00e9ben a gyakorlati feladatok megold\u00e1sa lesz a k\u00f6z\u00e9ppontban. A hallgat\u00f3k a heti feladatok megold\u00e1sa, a besz\u00e1mol\u00f3k, a k\u00f6nyvismertet\u0151 kisel\u0151ad\u00e1sok \u00e9s egy f\u00e9l\u00e9vz\u00e1r\u00f3 gyakorlati feladat (\u00e1ll\u00f3 vagy mozg\u00f3k\u00e9p-et\u0171d) alapj\u00e1n kapnak megaj\u00e1nlott jegyet. A tant\u00e1rgy a k\u00f6vetkez\u0151 t\u00e9m\u00e1kat \u00f6leli fel: Filmt\u00f6rt\u00e9net (m\u00falt, jelen, j\u00f6v\u0151); Filmelm\u00e9let (hom\u00e1ly, kompoz\u00edci\u00f3, aranymetsz\u00e9s, stb.); Szabv\u00e1nyok (ar\u00e1ny, kodek, felbont\u00e1s stb.); Alkot\u00e1s elemz\u00e9s (filmes alkot\u00e1sok elemz\u00e9se); Vil\u00e1g\u00edt\u00e1s- \u00e9s hangtechnika (l\u00e1mp\u00e1k, f\u00e9ny ir\u00e1nya, direkt\/indirekt, stb.); Filmk\u00e9sz\u00edt\u00e9s (el\u0151zetes munk\u00e1k, felv\u00e9telszervez\u00e9s, felv\u00e9tel, ut\u00f3munka).<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9324\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-9324\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">English for academic purposes<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9324\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-9324\"><p>A hallgat\u00f3 el\u0151zetes angoltud\u00e1s\u00e1hoz rugalmasan igazod\u00f3 nyelvtan\u00edt\u00e1s, k\u00fcl\u00f6n\u00f6s hangs\u00fallyal az akad\u00e9miai \u00e9letben el\u0151fordul feladatokra: Scientific review, literature review, abstract, essay \u00edr\u00e1sa.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ec29e8d elementor-widget elementor-widget-spacer\" data-id=\"ec29e8d\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4394d2b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4394d2b\" data-element_type=\"section\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-07c066a\" data-id=\"07c066a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6d91165 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"6d91165\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xl\" href=\"https:\/\/itk.ppke.hu\/felvetelizoknek\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Ismerd meg jobban a P\u00e1zm\u00e1ny ITK-t, <br>fedezd fel magadnak k\u00e9pz\u00e9seinket, \u00e9s tudj meg t\u00f6bbet arr\u00f3l, <br> hogyan kapcsol\u00f3dhatsz be te is kutat\u00e1s-fejleszt\u00e9seinkbe!<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-273f4e3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"273f4e3\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-24049b6\" data-id=\"24049b6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u00c1llj a technol\u00f3giai forradalom \u00e9l\u00e9re! Kvantumm\u00e9rn\u00f6k MSc a P\u00e1zm\u00e1ny ITK-n Tudj meg t\u00f6bbet ny\u00edlt napunkon! 2026. janu\u00e1r 22.C\u00edm\u00fcnk: BUDAPEST, Pr\u00e1ter utca 50\/a Regisztr\u00e1lok! Kvantumtechnol\u00f3gi\u00e1kra felk\u00e9sz\u00edt\u0151 m\u00e9rn\u00f6kk\u00e9pz\u00e9s A kvantumm\u00e9rn\u00f6k mesterszak olyan&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"class_list":["post-38","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Kvantumm\u00e9rn\u00f6k mesterszak - P\u00e1zm\u00e1ny ITK<\/title>\n<meta name=\"description\" content=\"Magyarorsz\u00e1gon egyed\u00fcl\u00e1ll\u00f3 kvantumm\u00e9rn\u00f6k k\u00e9pz\u00e9s\u00fcnk felk\u00e9sz\u00edt a j\u00f6v\u0151 technol\u00f3gi\u00e1inak meg\u00e9rt\u00e9s\u00e9re, haszn\u00e1lat\u00e1ra \u00e9s tov\u00e1bbfejleszt\u00e9s\u00e9re. \u200b\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/\" \/>\n<meta property=\"og:locale\" content=\"hu_HU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kvantumm\u00e9rn\u00f6k mesterszak\" \/>\n<meta property=\"og:description\" content=\"Magyarorsz\u00e1gon egyed\u00fcl\u00e1ll\u00f3 kvantumm\u00e9rn\u00f6k k\u00e9pz\u00e9s\u00fcnk felk\u00e9sz\u00edt a j\u00f6v\u0151 technol\u00f3gi\u00e1inak meg\u00e9rt\u00e9s\u00e9re, haszn\u00e1lat\u00e1ra \u00e9s tov\u00e1bbfejleszt\u00e9s\u00e9re. \u200b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/\" \/>\n<meta property=\"og:site_name\" content=\"Kvantumm\u00e9rn\u00f6k MSc\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-18T12:38:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/wp-content\/uploads\/sites\/9\/2024\/02\/KM_MSc.png\" \/>\n\t<meta property=\"og:image:width\" content=\"940\" \/>\n\t<meta property=\"og:image:height\" content=\"788\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Becs\u00fclt olvas\u00e1si id\u0151\" \/>\n\t<meta name=\"twitter:data1\" content=\"7 perc\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/\",\"url\":\"https:\/\/kepzes.itk.ppke.hu\/kvantummernok\/\",\"name\":\"Kvantumm\u00e9rn\u00f6k mesterszak - 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