{"id":247,"date":"2016-01-07T21:48:40","date_gmt":"2016-01-07T19:48:40","guid":{"rendered":"http:\/\/www-reynal.ensea.fr\/?page_id=247"},"modified":"2018-11-19T03:14:13","modified_gmt":"2018-11-19T01:14:13","slug":"master-of-theoretical-physics-and-applications","status":"publish","type":"page","link":"https:\/\/reynal.etis-lab.fr\/?page_id=247","title":{"rendered":"Master in Theoretical Physics and Applications (Univ. Cergy Pontoise)"},"content":{"rendered":"<p>This is a collection of classroom documents for the two courses I am teaching at international <a href=\"https:\/\/www.u-cergy.fr\/fr\/formations\/programms-taught-in-english\/msc-master-of-science.html\">Master in Theoretical Physics and Applications <\/a>:<\/p>\n<h1>Introduction to Dynamical Systems<\/h1>\n<p>Exercices:<\/p>\n<ul>\n<li><a href=\"docs\/master-tpa\/td1_MAP1D.pdf\">Series 1<\/a><\/li>\n<li><a href=\"docs\/master-tpa\/td2_MAP2D.pdf\">Series 2<\/a><\/li>\n<li><a href=\"docs\/master-tpa\/td3_SUManifolds.pdf\">Series 3<\/a><\/li>\n<li><a href=\"docs\/master-tpa\/td4_ODE-synchro-osc.pdf\">Series 4<\/a><\/li>\n<li><a href=\"docs\/master-tpa\/td5_lyapounov.pdf\">Series 5<\/a><\/li>\n<\/ul>\n<p>Bibliography:<\/p>\n<ul>\n<li>Introduction to Applied Nonlinear Dynamical Systems and Chaos (Texts in Applied Mathematics), by Stephen Wiggins &#8211; Springer<\/li>\n<li>Chaos: An Introduction to Dynamical Systems, by Kathleen T. Alligood, Tim D. Sauer, James A. Yorke &#8211; ISBN-13: 978-0387946771<\/li>\n<li>Chaos and nonlinear dynamics an introduction for scientists and engineers, by Robert Hilborn &#8211; ISBN-13: 978-0198507239<\/li>\n<\/ul>\n<h1>Quantum Information Theory<\/h1>\n<ul>\n<li>Introduction :\n<ol>quantum information vs classical information ;<\/ol>\n<ol>quantum complexity ;<\/ol>\n<ol>physical implementation.<\/ol>\n<\/li>\n<li>Qu-bits and density matrices:\n<ol>definition,<\/ol>\n<ol>Bloch sphere,<\/ol>\n<ol>Gleason theorem.<\/ol>\n<\/li>\n<li>Entanglement:\n<ol>EPR pairs and hidden information,<\/ol>\n<ol>Bell inequalities.<\/ol>\n<ol>Application to the quantum teleportation<\/ol>\n<\/li>\n<li>Measurement:\n<ol>orthogonal measurement,<\/ol>\n<ol>POVM,<\/ol>\n<ol>complete positivity.<\/ol>\n<\/li>\n<li>Quantum algorithms:\n<ol>complexity classes<\/ol>\n<ol>Grover algorithm<\/ol>\n<ol>factoring<\/ol>\n<\/li>\n<li>Quantum error correcting codes:\n<ol>depolarizing channel<\/ol>\n<ol>CSS codes<\/ol>\n<ol>Some useful bounds<\/ol>\n<ol>Stabilizer codes.<\/ol>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>This is a collection of classroom documents for the two courses I am teaching at international Master in Theoretical Physics and Applications : Introduction to Dynamical Systems Exercices: Series 1 Series 2 Series 3 Series 4 Series 5 Bibliography: Introduction to Applied Nonlinear Dynamical Systems and Chaos (Texts in Applied Mathematics), by Stephen Wiggins &#8211; &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/reynal.etis-lab.fr\/?page_id=247\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Master in Theoretical Physics and Applications (Univ. Cergy Pontoise)&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":19,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-247","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/reynal.etis-lab.fr\/index.php?rest_route=\/wp\/v2\/pages\/247","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/reynal.etis-lab.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/reynal.etis-lab.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/reynal.etis-lab.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/reynal.etis-lab.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=247"}],"version-history":[{"count":11,"href":"https:\/\/reynal.etis-lab.fr\/index.php?rest_route=\/wp\/v2\/pages\/247\/revisions"}],"predecessor-version":[{"id":477,"href":"https:\/\/reynal.etis-lab.fr\/index.php?rest_route=\/wp\/v2\/pages\/247\/revisions\/477"}],"up":[{"embeddable":true,"href":"https:\/\/reynal.etis-lab.fr\/index.php?rest_route=\/wp\/v2\/pages\/19"}],"wp:attachment":[{"href":"https:\/\/reynal.etis-lab.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=247"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}