{"id":41926,"date":"2026-02-25T08:35:08","date_gmt":"2026-02-25T08:35:08","guid":{"rendered":"https:\/\/direc.dk\/fault-tolerant-quantum-computation-input-output\/"},"modified":"2026-04-14T09:41:16","modified_gmt":"2026-04-14T09:41:16","slug":"fault-tolerant-quantum-computation-input-output","status":"publish","type":"post","link":"https:\/\/direc.dk\/da\/fault-tolerant-quantum-computation-input-output\/","title":{"rendered":"Fault-Tolerant Quantum Computation input\/output"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"41926\" class=\"elementor elementor-41926 elementor-41254\" data-elementor-post-type=\"post\">\n\t\t\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-ad519e4 e-flex e-con-boxed e-con e-parent\" data-id=\"ad519e4\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-1370ca0 e-con-full e-flex e-con e-child\" data-id=\"1370ca0\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-867fa3a e-con-full e-flex e-con e-child\" data-id=\"867fa3a\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-69d4a68 e-con-full e-flex e-con e-child\" data-id=\"69d4a68\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6364aa1 elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"6364aa1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<div class=\"elementor-icon\">\n\t\t\t<i aria-hidden=\"true\" class=\"fas fa-user-graduate\"><\/i>\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fa14535 elementor-widget elementor-widget-text-editor\" data-id=\"fa14535\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Quantum computing talks<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-96eabaf elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"96eabaf\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInDown&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Fault-tolerant quantum computation input\/output\u00a0<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-79bc925 elementor-widget elementor-widget-text-editor\" data-id=\"79bc925\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Matthias Christandl<br \/>Professor, University of Copenhagen<\/p>\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>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-ff87dd6 e-flex e-con-boxed e-con e-parent\" data-id=\"ff87dd6\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-545801a e-con-full e-flex e-con e-child\" data-id=\"545801a\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9b2cf6c elementor-widget elementor-widget-video\" data-id=\"9b2cf6c\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/fxTXCQ235Qo&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\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\t\t<\/div>\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-460ac25 e-flex e-con-boxed e-con e-parent\" data-id=\"460ac25\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[],&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-9f7e267 e-con-full e-flex e-con e-child\" data-id=\"9f7e267\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-70e39b0 elementor-widget elementor-widget-text-editor\" data-id=\"70e39b0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3 style=\"color: #1c2966; font-family: Roboto, sans-serif;\">Overview<\/h3>\n<p style=\"font-size: 18px;\">Quantum computers are powerful, but they are also extremely fragile. Even the smallest errors can break a computation. In this talk, Matthias Christandl explains how researchers are tackling this challenge by designing systems that can compute reliably despite noise. This is a key step toward making quantum computing work in practice and not just in theory.<\/p>\n<h3>\u00a0<\/h3>\n<h3>Abstract<\/h3>\n<p>The qubit quality of available quantum devices is increasing, yet it is expected that individual qubit operations (gates) will remain noisy for the foreseeable future. The execution of a sizeable quantum algorithms (e.g. factoring numbers, simulating materials), therefore requires a software solution to the noise problem. In essence, one needs to simulate a virtual noiseless quantum processor with a physical noisy quantum device. Is this possible at all? Yes, says a foundational result from the 90s (if the gate noise is below a threshold). I will start by giving some key ideas and intuition behind this result.<\/p>\n<p>In contrast to stand-alone single-core quantum computers, in many distributed scenarios (e.g. a multi-core quantum processor or the quantum internet) quantum processors need to pass qubits among each other, and have therefore quantum inputs, quantum outputs or even both. Just imagine the communication from one noisy quantum devices to another one via even noisier quantum communication channels. Also, such scenarios need to be secured against noise. It&#8217;s possible &#8211; I will explain how \ud83d\ude09<\/p>\n<p>Slides are available from this lecture:<br \/><a style=\"background-color: #ffffff;\" href=\"https:\/\/direc.dk\/wp-content\/uploads\/2026\/02\/Matthias-Christiandl-Slides.pdf\">Download slides<\/a><\/p>\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\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-eb83cb6 e-flex e-con-boxed e-con e-parent\" data-id=\"eb83cb6\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[],&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-5eeade8 e-con-full e-flex e-con e-child\" data-id=\"5eeade8\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0aac225 elementor-widget elementor-widget-text-editor\" data-id=\"0aac225\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3><strong>Bio\u00a0<\/strong><\/h3>\n<p>Matthias Christandl is a professor of Mathematics at the University of Copenhagen developing Quantum Software for a future Quantum Computer. He is the Center Leader of the Quantum for Life Center funded by the Novo Nordisk Foundation, Principal Investigator of the Center for the Mathematics of Quantum Theory (QMATH), and Chairman of the University of Copenhagen&#8217;s Quantum Hub.<\/p>\n<p>He has previously held faculty positions at LMU Munich and ETH Zurich and holds a PhD from the University of Cambridge. Matthias Christandl is elected member of the Royal Danish Academy of Sciences and Letters and has chaired the Program Committee of the Conference on Quantum Information Processing (QIP) in the year 2019.<\/p>\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<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-f130fc3 e-con-full e-flex e-con e-child\" data-id=\"f130fc3\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5922312 elementor-widget elementor-widget-image\" data-id=\"5922312\" data-element_type=\"widget\" data-e-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\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"359\" height=\"359\" src=\"https:\/\/direc.dk\/wp-content\/uploads\/2026\/02\/Matthias-Christiandl-sh.jpg\" class=\"attachment-large size-large wp-image-41925\" alt=\"\" srcset=\"https:\/\/direc.dk\/wp-content\/uploads\/2026\/02\/Matthias-Christiandl-sh.jpg 359w, https:\/\/direc.dk\/wp-content\/uploads\/2026\/02\/Matthias-Christiandl-sh-300x300.jpg 300w, https:\/\/direc.dk\/wp-content\/uploads\/2026\/02\/Matthias-Christiandl-sh-150x150.jpg 150w\" sizes=\"(max-width: 359px) 100vw, 359px\" \/>\t\t\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<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-34c8587 e-flex e-con-boxed e-con e-parent\" data-id=\"34c8587\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[],&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-e5d3c51 e-con-full e-flex e-con e-child\" data-id=\"e5d3c51\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f82b86b elementor-widget elementor-widget-text-editor\" data-id=\"f82b86b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3 style=\"color: #1c2966; font-family: Roboto, sans-serif;\">Ressources<\/h3>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a062f38 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"a062f38\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/journals.aps.org\/prxquantum\/abstract\/10.1103\/k4cm-pp9p\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-external-link-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Fault-Tolerant Quantum Computation with Constant Overhead for General Noise<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/arxiv.org\/pdf\/2408.05260\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-external-link-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Fault-tolerant quantum input\/output<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/arxiv.org\/abs\/2210.02939\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-external-link-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Fault-tolerant Coding for Entanglement-Assisted Communication<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/arxiv.org\/abs\/2009.07161\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-external-link-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Fault-tolerant Coding for Quantum Communication<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\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\t\t<\/div>\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-fe2d1d4 e-flex e-con-boxed e-con e-parent\" data-id=\"fe2d1d4\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[],&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-element elementor-element-1f527b5 e-con-full e-flex e-con e-child\" data-id=\"1f527b5\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;jet_parallax_layout_list&quot;:[]}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-3e5ccc3 elementor-widget elementor-widget-text-editor\" data-id=\"3e5ccc3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h6>This talk is hosted by <a href=\"https:\/\/projects.au.dk\/quantum\/news-and-events\/item\/artikel\/fault-tolerant-quantum-computation-by-matthias-christandl\">Quantum Campus Aarhus<\/a> (QCA) and featured as part of DIREC\u2019s Quantum Computing Lecture series<\/h6>\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\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Matthias Christandl, University of Copenhagen<\/p>\n","protected":false},"author":3,"featured_media":41885,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[229],"tags":[],"class_list":["post-41926","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantum-talks"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Fault-Tolerant Quantum Computation input\/output - DIREC<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/direc.dk\/da\/fault-tolerant-quantum-computation-input-output\/\" \/>\n<meta property=\"og:locale\" content=\"da_DK\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fault-Tolerant Quantum Computation input\/output - DIREC\" 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