{"id":1341,"date":"2025-08-08T16:08:38","date_gmt":"2025-08-08T16:08:38","guid":{"rendered":"https:\/\/projects.ift.uam-csic.es\/master\/?p=1341"},"modified":"2026-07-17T10:55:46","modified_gmt":"2026-07-17T10:55:46","slug":"quantum-entanglement-and-information-qei","status":"publish","type":"post","link":"https:\/\/projects.ift.uam-csic.es\/master\/quantum-entanglement-and-information-qei\/","title":{"rendered":"Quantum Entanglement And Information (QEI)"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.27.4&#8243; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row _builder_version=&#8221;4.16&#8243; background_size=&#8221;initial&#8221; background_position=&#8221;top_left&#8221; background_repeat=&#8221;repeat&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; header_2_font_size=&#8221;30px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2>Academic Team<\/h2>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-34-scaled.png&#8221; title_text=&#8221;Asignaturas m\u00e1ster (34)&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; url=&#8221;https:\/\/scholar.google.com\/citations?user=YGmxzdAAAAAJ&#038;hl=es&#8221; url_new_window=&#8221;on&#8221; sticky_enabled=&#8221;0&#8243;][\/et_pb_image][et_pb_image src=&#8221;https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-35-scaled.png&#8221; title_text=&#8221;Asignaturas m\u00e1ster (35)&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; url=&#8221;https:\/\/scholar.google.com\/citations?user=fIgG-7wAAAAJ&#038;hl=es&#8221; url_new_window=&#8221;on&#8221; sticky_enabled=&#8221;0&#8243;][\/et_pb_image][et_pb_image src=&#8221;https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-36-scaled.png&#8221; title_text=&#8221;Asignaturas m\u00e1ster (36)&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; url=&#8221;https:\/\/aalhambra.wordpress.com&#8221; url_new_window=&#8221;on&#8221; sticky_enabled=&#8221;0&#8243;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; header_2_font_size=&#8221;30px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2>Course Content<\/h2>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p><strong>Type: Optional \u2013 PEC Track \u2013 1st Trimester<\/strong><\/p>\n<p>This course offers a comprehensive introduction to the theory and practice of quantum information and quantum computation, exploring their theoretical foundations, applications, and physical implementations. It addresses the concept of quantum entanglement both as an essential resource for quantum computing and communication, and as a tool for analyzing many-particle systems.<\/p>\n<p>The syllabus ranges from classical computation models (Turing machine, circuit model, and logic gates) and thermodynamic principles of information (Landauer\u2019s principle, Szilard engine) to key quantum phenomena such as the no-cloning theorem, quantum teleportation, and dense coding. Fundamental quantum algorithms are studied (including Deutsch, Grover, Quantum Fourier Transform, Phase Estimation, and Shor) along with universal quantum computation.<\/p>\n<p>The course delves into quantum information theory (density matrix, Schmidt decomposition, generalized measurements, Shannon and Schumacher theorems) and techniques for characterizing and measuring entanglement. It also examines decoherence, quantum noise, noisy channels, and strategies for quantum error correction and fault tolerance.<\/p>\n<p>A core component of the training is hands-on experience: students will use online quantum computing platforms such as IBM Quantum Experience and work with Qiskit to design, simulate, and execute simple quantum circuits.<\/p>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; header_2_font_size=&#8221;30px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2>Reading List<\/h2>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<ul>\n<li>M.A. Nielsen and I.L. Chuang,<span>\u00a0<\/span><em>Quantum computation and quantum information<\/em>. Cambridge University Press, Cambridge, UK (2000).<\/li>\n<li>J. Preskill,<span>\u00a0<\/span><em>Notes on Quantum Computation. N.D. Mermin, \u201cQuantum computer science: an introduction\u201d<\/em>. Cambridge University Press, Cambridge, UK (2007).<\/li>\n<\/ul>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; header_2_font_size=&#8221;30px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2>Teaching Plan Information<\/h2>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-scaled.png&#8221; title_text=&#8221;Asignaturas m\u00e1ster (21)&#8221; url=&#8221;https:\/\/drive.google.com\/file\/d\/1UFhIFF0pD2tpa9IXVTCMm0jyF7gR72X-\/view&#8221; url_new_window=&#8221;on&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; width=&#8221;50%&#8221; max_width=&#8221;50%&#8221; module_alignment=&#8221;center&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; header_2_font_size=&#8221;30px&#8221; custom_margin=&#8221;50px||||false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2>Course Schedule<\/h2>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-scaled.png&#8221; title_text=&#8221;Asignaturas m\u00e1ster (20)&#8221; url=&#8221;https:\/\/drive.google.com\/file\/d\/1X1Gj2Q56Ru-JcgBdHNssJupqElnZmD0K\/view&#8221; url_new_window=&#8221;on&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; width=&#8221;50%&#8221; max_width=&#8221;50%&#8221; module_alignment=&#8221;center&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Academic TeamCourse ContentType: Optional \u2013 PEC Track \u2013 1st Trimester This course offers a comprehensive introduction to the theory and practice of quantum information and quantum computation, exploring their theoretical foundations, applications, and physical implementations. It addresses the concept of quantum entanglement both as an essential resource for quantum computing and communication, and as a [&hellip;]<\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"<!-- wp:heading -->\n<h2 class=\"wp-block-heading\">Academic Team<\/h2>\n<!-- \/wp:heading -->\n\n<!-- wp:image {\"lightbox\":{\"enabled\":false},\"id\":1468,\"sizeSlug\":\"large\",\"linkDestination\":\"custom\"} -->\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/scholar.google.com\/citations?user=YGmxzdAAAAAJ&amp;hl=es\"><img src=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-34-1024x576.png\" alt=\"\" class=\"wp-image-1468\"\/><\/a><\/figure>\n<!-- \/wp:image -->\n\n<!-- wp:image {\"lightbox\":{\"enabled\":false},\"id\":1473,\"sizeSlug\":\"large\",\"linkDestination\":\"custom\"} -->\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/scholar.google.com\/citations?user=fIgG-7wAAAAJ&amp;hl=es\"><img src=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-35-1024x576.png\" alt=\"\" class=\"wp-image-1473\"\/><\/a><\/figure>\n<!-- \/wp:image -->\n\n<!-- wp:image {\"lightbox\":{\"enabled\":false},\"id\":1474,\"sizeSlug\":\"large\",\"linkDestination\":\"custom\"} -->\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/aalhambra.wordpress.com\/\"><img src=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-36-1024x576.png\" alt=\"\" class=\"wp-image-1474\"\/><\/a><\/figure>\n<!-- \/wp:image -->\n\n<!-- wp:heading -->\n<h2 class=\"wp-block-heading\">Course Content<\/h2>\n<!-- \/wp:heading -->\n\n<!-- wp:paragraph -->\n<p><strong>Type: Optional \u2013 PEC Track \u2013 1st Trimester<\/strong><\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>This course offers a comprehensive introduction to the theory and practice of quantum information and quantum computation, exploring their theoretical foundations, applications, and physical implementations. It addresses the concept of quantum entanglement both as an essential resource for quantum computing and communication, and as a tool for analyzing many-particle systems.<\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>The syllabus ranges from classical computation models (Turing machine, circuit model, and logic gates) and thermodynamic principles of information (Landauer\u2019s principle, Szilard engine) to key quantum phenomena such as the no-cloning theorem, quantum teleportation, and dense coding. Fundamental quantum algorithms are studied (including Deutsch, Grover, Quantum Fourier Transform, Phase Estimation, and Shor) along with universal quantum computation.<\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>The course delves into quantum information theory (density matrix, Schmidt decomposition, generalized measurements, Shannon and Schumacher theorems) and techniques for characterizing and measuring entanglement. It also examines decoherence, quantum noise, noisy channels, and strategies for quantum error correction and fault tolerance.<\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>A core component of the training is hands-on experience: students will use online quantum computing platforms such as IBM Quantum Experience and work with Qiskit to design, simulate, and execute simple quantum circuits.<\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:heading -->\n<h2 class=\"wp-block-heading\">Reading List<\/h2>\n<!-- \/wp:heading -->\n\n<!-- wp:list -->\n<ul class=\"wp-block-list\"><!-- wp:list-item -->\n<li>M.A. Nielsen and I.L. Chuang, <em>Quantum computation and quantum information<\/em>. Cambridge University Press, Cambridge, UK (2000).<\/li>\n<!-- \/wp:list-item -->\n\n<!-- wp:list-item -->\n<li>J. Preskill, <em>Notes on Quantum Computation. N.D. Mermin, \u201cQuantum computer science: an introduction\u201d<\/em>. Cambridge University Press, Cambridge, UK (2007).<\/li>\n<!-- \/wp:list-item --><\/ul>\n<!-- \/wp:list -->\n\n<!-- wp:heading -->\n<h2 class=\"wp-block-heading\">Teaching Plan Information<\/h2>\n<!-- \/wp:heading -->\n\n<!-- wp:paragraph -->\n<p><a href=\"https:\/\/drive.google.com\/drive\/folders\/144dbP-Rfv7DuB8J-UzYGeKdH8lDI7zoh\"><\/a><\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:image {\"lightbox\":{\"enabled\":false},\"id\":1470,\"width\":\"306px\",\"height\":\"auto\",\"sizeSlug\":\"large\",\"linkDestination\":\"custom\",\"align\":\"center\"} -->\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><a href=\"https:\/\/drive.google.com\/file\/d\/1UFhIFF0pD2tpa9IXVTCMm0jyF7gR72X-\/view?usp=drive_link\"><img src=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-1024x576.png\" alt=\"\" class=\"wp-image-1470\" style=\"width:306px;height:auto\"\/><\/a><\/figure>\n<!-- \/wp:image -->\n\n<!-- wp:heading -->\n<h2 class=\"wp-block-heading\">Course Schedule<\/h2>\n<!-- \/wp:heading -->\n\n<!-- wp:image {\"lightbox\":{\"enabled\":false},\"id\":1471,\"width\":\"329px\",\"height\":\"auto\",\"sizeSlug\":\"large\",\"linkDestination\":\"custom\",\"align\":\"center\"} -->\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><a href=\"https:\/\/drive.google.com\/file\/d\/1X1Gj2Q56Ru-JcgBdHNssJupqElnZmD0K\/view?usp=drive_link\"><img src=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-1024x576.png\" alt=\"\" class=\"wp-image-1471\" style=\"width:329px;height:auto\"\/><\/a><\/figure>\n<!-- \/wp:image -->\n\n<!-- wp:paragraph -->\n<p><a href=\"https:\/\/drive.google.com\/drive\/folders\/144dbP-Rfv7DuB8J-UzYGeKdH8lDI7zoh\"><\/a><\/p>\n<!-- \/wp:paragraph -->","_et_gb_content_width":"1080","footnotes":""},"categories":[26,22],"tags":[],"class_list":["post-1341","post","type-post","status-publish","format-standard","hentry","category-optional-en","category-pec-track"],"_links":{"self":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts\/1341","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/comments?post=1341"}],"version-history":[{"count":11,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts\/1341\/revisions"}],"predecessor-version":[{"id":2375,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts\/1341\/revisions\/2375"}],"wp:attachment":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/media?parent=1341"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/categories?post=1341"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/tags?post=1341"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}