# 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 notes

- 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]

## Further references

- Lecture notes for a course that I taught at Stanford in Spring 2017
- Bogota lectures on The Mathematics of Entanglement
- The Church of the Symmetric Subspace