Notes de cours / Lecture notes

• Introduction à la modélisation et la simulation stochastiques (Version préliminaire)

• Mathematical foundations of quantum mechanics and applications (Preliminary draft)

• Théorie de la complexité (Version préliminaire)

• Probabilités pour la théorie de l'information. Les notes du cours sont accessibles sur Moodle.

• Markov chains on measurable spaces (Version préliminaire)

• An introduction to quantum cryptography, communication, and computing. Transparencies of a series of lectures given at the Unversidad de Chile (2013).
  • A very brief history of the developments in modern physics.
  • Classical mechanics viewed as a classical probability theory with a dynamical law.
  • Postulates of quantum mechanics viewed as an extension of probability theory with a dynamical law.
  • Special topics in Hilbert spaces.
  • Cryptologic protocol BB84.
  • Security of BB84 under individual attacks.
  • Topics not covered by these lectures and very succinct bibliography