Quantum algorithms

Quantum information, first computational uses : superposition, measurement, transformation, non-cloning, quantum key distribution, teleportation

Quantum communication networks

Quantum cryptography and communication : Bell's inequalities, coin tosses, pawning, certification

Certifying random number generation with quantum technology

Quantum circuits, first algorithms : universal gates, Deutsch-Jozsa and Bernstein-Vazirani algorithms, superiority of quantum algorithms

Graphical languages for programming and reasoning in quantum computing

Quantum Fourier Transform : implementation, phase estimation, Simon and Shor algorithms (period search and factorization) and recent generalizations

The hidden subgroup problem

Quantum optimization : Grover algorithm, quantum estimators, quantum Markov chains, quantum heuristics

A Unified Framework for Quantum Walk Search

Hamiltonian simulation, ultra-fast resolution of linear systems, and applications

Quantum Machine Learning

Limits of quantum computation : links between classical and quantum complexity

Quantum supremacy : where do we stand today ?

Conclusion and the road to quantum distributed computing

Quantum Computing as a Service: Secure and Verifiable Multi-Tenant Quantum Data Centre