Lectures on “Symmetry and Quantum Information”
Given at the Summer School on “Mathematical Aspects of Quantum Information” held at the Institut des Etudes Scientiques de Cargese (Corsica) in Fall 2017, organized by Guillaume Aubrun, Benoît Collins, Ion Nechita, and Stanislaw Szarek.
- Lecture 1: Introduction to Quantum Mechanics & Entanglement [pdf]
- Lecture 2: Estimating an Unknown Pure State, Symmetric Subspace [pdf]
- Lecture 3: Monogamy of Entanglement, De Finetti and N-Extendibility, Towards Schur-Weyl Duality [pdf]
- Lecture 4: Schur-Weyl Duality, Spectrum Estimation, Quantum Data Compression, Estimating an Unknown Mixed State [pdf]