# An Introduction To Quantum Entanglement

This is the webpage for the doctoral course *An Introduction to Quantum Entanglement*. Unless otherwise indicated, the lectures will take place in room 207 of the IRSAMC building. Course description [pdf].

### Lecture notes

Preliminary version [pdf]. This is a work in progress, please send me an email if you find any typos, mistakes, or if you have any comments.

### Lecture plan

- Monday, March 2nd, 14h-16h : Lecture 1 – Review of linear algebra and basics of QIT
- Tuesday, March 3rd, 10h-12h : Lecture 2 – Entanglement of pure quantum states
- Monday, March 9th, 15h-17h : Lecture 3 – Entanglement of mixed quantum states
- Tuesday, March 10th, 10h-12h : Lecture 4 – Positive and completely positive maps
- Tuesday, March 17th, 14h-16h (online) : Lecture 5 – Structure theorem for quantum channels
- Thursday, March 19th, 14h-16h (online) : Lecture 6 – Entanglement criteria from positive maps
- Tuesday, March 24th, 14h-16h (online) : Lecture 7 – Random quantum states [ipynb]
- Thursday, March 26th, 14h-16h (online) : Lecture 8 – Symmetric extensions [ipynb]
- Tuesday, March 31st, 14h-16h (online) : Lecture 9 – Multipartite entanglement
- Thursday, April 2nd, 14h-16h (online) : Lecture 10 – Selected topics

### Reading material

- Quantum Information Theory
- Nielsen, Chuang –
*Quantum computation and quantum information*– Chapters 1, 2, 4, 8, 10 - Watrous –
*Theory of Quantum Information*[pdf] – Chapters 1-8, 14-19, 22 - Bengtsson, Zyczkowski –
*Geometry of quantum states*– Chapters 5, 8, 9, 10, 11, 15 - Aubrun, Szarek –
*Alice and Bob meet Banach*– Chapters 0, 2, 3, 8, 9 - Walter –
*PHYSICS 491: Symmetry and Quantum Information*[pdf] – Chapters 1-4

- Nielsen, Chuang –
- Quantum Entanglement
- Programming with Qiskit
- The Quirk quantum circuit simulator