Table of Contents
## Quantum information and applications (24h, 3ECTS)Person in charge: Sophie Laplante (Université Paris Diderot, IRIF) ## Teachers for 2021-22## Organisation## Lectures
Lectures take place Thursdays
Lectures will take place in French, English upon request. (In the past all lectures have been in English.) References in brackets refer to Ronald de Wolf's lecture notes. Basic notions - Sept 16 SL States, measurements, entanglement, CHSH [RdW : Chapter 1.1-1.4 + 16.1-16.2]
- Sept 23 SL Evolution, circuits, superdense coding, teleportation [RdW : 1.5]
- Sept 30 SL Holevo's theorem (pure states), no-cloning, BPP in BQP [RdW : 2.1]
- Oct 7 SL Quantum query model, Deutsch-Jozsa, Bernstein-Vazirani [RdW : 2.4]
- Oct 14 SL Grover's algorithm, Simon's algorithm [RdW : 7.1-7.2, 3.1-3.2]
Algorithms and complexity - Oct 21 FM Qiskit
- Oct 28 FM Grover extensions, Amplitude amplification [RdW: 7.3-7.4, Qiskit: 3.3, 3.4]
- Nov 4 FM Factorization, Phase estimation [RdW: 4.4-4.6, 5.1-5.4, Qiskit: 3.5-3.7]
~~Nov 11~~no class (public holiday)- Nov 18 FM Lower bounds for query complexity: adversarial and polynomial methods. Simulation of quantum circuits in polynomial space. [RdW: 11.1-11.3, 12.3]
## Final exam
The final exam will take place
Please make sure to have your student ID with you for the exam. Sample exams: - Exam from 2013. Be aware that the content varies from year to year and in particular there is no crypto in the course this year.
- Part of exam from 2014, with an example of a quantum algorithm to design.
## Presentation and objectivesEach year computing machines become faster and faster, but they use still use at their base the same Newtonian physics. Feynman in 1982 already asked about the necessity of this restriction to classical physics. The idea behind quantum computation is to use quantum phenomena to solve tasks that conventional machines cannot achieve. Historically the first result that showed the superiority of the quantum model was in cryptography. Bennett and Brassard in 1984 gave a first quantum protocol for perfectly secure key distribution. Such an unconditional security does not exist in the classical world. At present many important concepts of theoretical computer science have been extended to quantum computation, from communication to algorithms and error correcting codes. The aim of this course is to present the bases of several concepts about quantum computation. The emphasis will be on quantum algorithms and communication. We will describe the basics of Quantum Computation and its applications in algorithms, communication complexity and nonlocality. ## PrerequisitesAlgorithms, basic notions in computational complexity, basic notions in linear algebra and probability. ## Lecture NotesWe recommend the following lecture notes to use alongside the lectures: - Ronald de Wolf Quantum Computing lecture notes - Qiskit (open-source SDK) Textbook mixing quantum computation explanations and source codes ## Related CoursesThis course is a prerequisite for the course Quantum information and cryptography which covers quantum cryptography and post-quantum cryptography. The following courses are strongly recommended. - 2.11.1 Advanced algorithms
- 2.11.2 Randomness in Complexity
If you are interested in Algorithms and Complexity, we recommend taking courses from the following list. 1st quarter courses - 2-11-1 Advanced Algorithms
- 2-11-2 Randomness in Complexity
- 2-12-1 Techniques in Cryptography and Cryptanalysis
- 2-18-2 Algorithmique distribuée avec mémoire partagée
- 2-38-1 Algorithms for embedded graphs
1st and 2nd quarter courses - 2-13-2 Error correcting codes and applications to cryptography
- 2-18-1 Distributed algorithms for the networks
- 2-24-1 Optimisation
- 2-29-1 Graph algorithms
- 2-33-1 Theory of Computations
If you are particularly interested in quantum computing you can also take courses from the Physics masters program Dispositifs quantiques ## Student seminarIn the QuanTech masters there is a student seminar which you are welcome to attend. - 15/10 Thierry Debuisschert (Thales Research and Technology)
- Quantum sensors based on diamond NV centers
- 12h en salle 454A Bâtiment Condorcet
- 22/10 Iordanis Kerenidis (CNRS IRIF& QC WARE)
- Quantum machine learning
- 12h en salle 454A Bâtiment Condorcet
- 12/11 Luca Guidoni (CNRS, Laboratoire Matériaux et Phénomènes Quantiques)
- Quantum information processing with trapped ions: experimental and technological challenges
- 12h en salle 454A Bâtiment Condorcet
- 19/11 Julien Laurat (Sorbonne Université, Laboratoire Kastler Brossel)
- Interfacing light and cold atoms for quantum networks
- 12h en salle 366A Bâtiment Condorcet
## References- Quantum Computer Science: An Introduction. N. David Mermin. Cambridge University Press, 2007.
- Quantum Computing: Lecture Notes. R. de Wolf
- Quantum Computation and Quantum Information. M. Nielsen et I. Chuang. Cambridge University Press, 2000.
## Exercises |