**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**

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