[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-950869","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  [M1 DiPaQ] Fondements de l\u0026#039;informatique quantique\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          3\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemestre calendaire :\n          Semestre 2\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ED\u00e9tail du volume horaire\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ECours magistraux :\u003C\/span\u003E\n                                      \u003Cspan\u003E10.5\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                              \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ETravaux dirig\u00e9s :\u003C\/span\u003E\n                                      \u003Cspan\u003E10.5\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                                            \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EAnglais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EPr\u00e9requis\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003EPrerequisites:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cul\u003E\n\u003Cli\u003EAll the necessary reminders will be given. However, the student should make sure that he knows the basics in linear algebra: vectors, matrices, inner product, norm.\u003C\/li\u003E\n\u003Cli\u003EMoreover, and again even if all the necessary formal objects will be defined and introduced properly, it is a huge plus if the student has a relatively well advanced level in mathematics, let\u2019s say the equivalent of either 2 years of \u201cMath Sup \/ Mat sp\u00e9\u201d, or of an L2 in pure mathematics in some university (and even better if it is an L3), or of an L2 or L3 in theoretical computer science (usually, students from purely applied computer science have difficulties to follow the course), or an L3 of fundamental physics, with enough mathematics for physics.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003ECourse program, plan, content:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cp\u003EThe course is composed of 5+1 sessions of 3h30min each, which, with the 2h final-exam session, covers a T2. Lecture 6 is not compulsory material to learn for the final exam.\u003C\/p\u003E\n\u003Cp\u003ELecture 1: Postulates of quantum theory\u003Cbr\u003E\n\u2013 Their meaning;\u003Cbr\u003E\n\u2013 The necessary mathematics;\u003Cbr\u003E\n\u2013 Dirac and Coecke notations for these mathematics;\u003Cbr\u003E\n\u2013 Several basic results: no-cloning; no-distinguishability.\u003C\/p\u003E\n\u003Cp\u003ELecture 2: Useful linear-algebra theorems\u003C\/p\u003E\n\u003Cp\u003ELecture 3: Density matrices and quantum operations\u003C\/p\u003E\n\u003Cp\u003ELecture 4: Quantum error correction\u003Cbr\u003E\nSeveral variants of the 3-qubit code; fundamental theorems of quantum error correction.\u003C\/p\u003E\n\u003Cp\u003ELecture 5: Four major topics\u003Cbr\u003E\nBell inequalities; no-signalling; purification and Stinespring\u2019s theorems; the measurement interpretation.\u003C\/p\u003E\n\u003Cp\u003ELecture 6: Quantum simulation (Hamiltonian, single-particle, many-particle)\u003Cbr\u003E\nContinuous-time (i.e., Hamiltonian) quantum simulation;\u003Cbr\u003E\nDiscrete-time quantum simulation (in particular, with quantum walks and quantum cellular automata).\u003C\/p\u003E\n\u003Cp\u003EHomework:\u003Cbr\u003E\nIn addition to these lectures, there will be a relatively long homework, where the student will get to work on topics such as: superdense-coding protocols, teleportation, QRAC, BB84 key sharing, certified randomness, and others.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EObjectifs d\u0026#039;apprentissage\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003ELearning objectives:\u003C\/strong\u003E\u003Cbr\u003E\nThis course can be seen as a first course in quantum mechanics, but with the style, objects, tools, methods, and objectives, of so-called quantum computation and more broadly information. The course covers, goes up to relatively advanced concepts, but it starts from the basics, it is self-contained, which is why we can still view it as a first course in quantum mechanics.\u0026nbsp;\u003C\/p\u003E\n\u003Cp\u003EQuantum computation and quantum information are fields of study which arised within the second quantum revolution, which was definitively launched by Alain Aspect\u2019s experimental demonstration that Bell\u2019s inequalities where violated in 1982, after which the property of entanglement in quantum mechanics was established as something \u201creal\u201d, that could not be understood with a classical mindset, and in particular with classical probability theory. This established the standard formulation of quantum mechanics as fundamental and unavoidable.\u0026nbsp;\u003C\/p\u003E\n\u003Cp\u003EThe objectives of quantum computation and quantum information are to use quantum phenomena to achieve tasks which belong to the field of information handling, that is, essentially, storage, processing or computation, and communication (different types of communication channels, protocols; cryptography). Within this second quantum revolution, many formal tools have been developed to deal with superposition and entanglement, which are the two basic properties of quantum matter.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EOrganisation g\u00e9n\u00e9rale et modalit\u00e9s p\u00e9dagogiques\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003EGeneral course organization and teaching modalities:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cp\u003EThe course is composed of 5+1 sessions of 3h30min each, which, with the final-exam session, covers a T2. Lecture 6 is compulsory material to learn for the final exam.\u003C\/p\u003E\n\u003Cp\u003EAfter each lecture, I send the students additional material via a one-way forum (me \u2014\u0026gt; them) on the eCampus page of the course: this additional material is mainly composed of (i) a sum-up of the lecture, with more insight, and of (ii) extended material about techniques and concepts.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EComp\u00e9tences\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003ECompetencies gained in the course:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cp\u003ESee the program of the course. In terms of practical skills, the student should know, by the end of the course, how to manipulate (i.e., to do computations with) quantum states in Dirac notations, how to deal with (i.e., to do computations with) entangled systems (so, how to deal with the tensor-product notation, both for states and for operators). The student should also know how to do all this in the case of mixed states, that is, manipulation of density matrices and of quantum operations. The student should know how to use quickly the different linear-algebra theorems presented especially in Lecture 2 (various types of decompositions of states and operators) but not only, as well as the more advanced theorems which are specific to quantum information (see for example, in particular, Lecture 4).\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003EBibliography:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cp\u003ENielsen, M. A., \u0026amp; Chuang, I. L. (2010). \u003Cem\u003EQuantum Computation and Quantum Information: 10th Anniversary Edition\u003C\/em\u003E. Cambridge: Cambridge University Press.\u0026nbsp;\u003C\/p\u003E\n\u003Cp\u003ECoecke B, Kissinger A. \u003Cem\u003EPicturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning\u003C\/em\u003E. Cambridge University Press; 2017.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Continue non Int\u00e9grale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]