Quantum Mechanics and Quantum Information Theory (M2), 2023

  • Lesson 1 (Sep 13) : Complements on operators in Hilbert spaces (notably trace class operators).
  • Lesson 2 (Sep 20) : The formalism of quantum mechanics ; partial trace
  • Lesson 3 (Sep 27) : Completely positive maps, quantum channels
  • Lesson 4 (Oct 4) : Entanglement, definition, PPT
  • Lesson 5 (Oct 11) : Stormer's theorem
  • Lesson 6 (Oct 18) : Extendability, de Finetti theorem
  • Lesson 7 (OCt 25) : Quantum correlations
  • Lesson 8 (Nov 08) : Majorization ; quantum teleportation
  • Lesson 9 (Nov 15) : Nielsen's theorem ; entanglement cost and distillable entanglement
  • Lesson 10 (Nov 22) : Fidelity and its properties
  • Lesson 11 (Nov 23) : Quantum compression (proof of Schumacher's theorem)

    Exercise sheets

    Sheet #1

    Sheet #2

    Sheet #3

    Sheet #4

    Sheet #5

    Sheet #6

    Sheet #7

    Sheet #8

    Sheet #9