Compulsory Courses for all students (physicist and computer scientists) 

• QAlg: Quantum Algorithms, 3 ECTS, Shor algorithms, Quantum Fourier Transform, phase estimations and applications, quantum random walks.

• QCrypt: Quantum Cryptography, 3 ECTS, The use of quantum states has many cryptographic applications. This course includes advanced quantum key distribution (various technologies and protocols, security proofs, practical implementation), but also other cryptographic protocols such as verification.

• QIT: Quantum Information Theory, 6 ECTS, The quantum analogue of Shanon theory and complexity theory are very rich, with many applications: Mathematical foundations and link with programming, quantum Shannon theory (various entropies, super additivity, Holevo theorem); communication complexity, with lower bounds and exponential separations; channel theory; entanglement theory, nonlocal games, information causality, contextuality; quantum complexity theory, BQP, QMA, QMA(2), QIP=QIP(3)=PSPACE=QPSPACE.

• PhQC: Photonics Quantum Computing, 6 ECTS, Photonics is an essential platform for quantum communications and a promising one for quantum computing. These platforms are centered around measurement based quantum computing (MBQC). This course will develop in parallel the theory of some protocols along with their practical photonics implementation: Graph-states (in continuous and discrete variables), Graph-based cryptographic protocols, MBQC, delegated blind/verified universal quantum computing.

Courses for physicists:

• Quantum Optics (3 ECTS), This course first proposes an introduction to the basic concepts and main tools of quantum optics. Then it expands on some applications, such as the generation of non-classical states of light (single or several photons, squeezed and entangled states), atom-field interaction (elements of cavity QED).  

• Atomic physics for quantum information. This course will study atom manipulation and control for quantum information processing. It will include Atom-light interaction (EIT, Raman transition, quantum memories). Atom (ions or neutral atoms) cooling and trapping, Rydberg atoms and dipole interactions. Applications to quantum simulation. Recent experiments.

• Project (6 ECTS): This course consists first in five seminars given by start-up companies related to quantum information. Then they form small groups to develop a project linked to one of the presentation, supervised by a mentor from the company.

Internship, 24 ECTS (starting in March or April, for 5 month)

2 optional lectures to be taken from the following list, non limitative (3 ECTS each)

• Atomes ultrafroids et leurs applications (master LUMI - french only)

• Quantum metrology (master ICFP)

• Ultra-cold atoms (master ICFP)

• Advanced Quantum Algorithm (master QI)

• Advanced Quantum Cryptography (master QI)

• Courses selected from the European program DigiQ (to be confirmed)

Complete list and details of LUMI options: https://masterlumi.fr/contenu-des-enseignements/

Complete list and details of ICFP options: https://www.phys.ens.fr/spip.php?rubrique603