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

  1. Monday, March 2nd, 14h-16h : Lecture 1 - Review of linear algebra and basics of QIT
  2. Tuesday, March 3rd, 10h-12h : Lecture 2 - Entanglement of pure quantum states
  3. Monday, March 9th, 15h-17h : Lecture 3 - Entanglement of mixed quantum states
  4. Tuesday, March 10th, 10h-12h : Lecture 4 - Positive and completely positive maps
  5. Tuesday, March 17th, 14h-16h (online) : Lecture 5 - Structure theorem for quantum channels
  6. Thursday, March 19th, 14h-16h (online) : Lecture 6 - Entanglement criteria from positive maps
  7. Tuesday, March 24th, 14h-16h (online) : Lecture 7 - Random quantum states [ipynb]
  8. Thursday, March 26th, 14h-16h (online) : Lecture 8 - Symmetric extensions [ipynb]
  9. Tuesday, March 31st, 14h-16h (online) : Lecture 9 - Multipartite entanglement
  10. 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
  • Quantum Entanglement
    • Johnston - Entanglement detection [pdf]
    • Aubrun - Entanglement as a resource in quantum information theory [pdf]
  • Programming with Qiskit
    • Koch, Wessing, Alsing - Introduction to Coding Quantum Algorithms: A Tutorial Series Using Qiskit [arXiv]
    • Asfaw et al - Learn Quantum Computing using Qiskit [html]
    • Coles et al - Quantum Algorithm Implementations for Beginners [arXiv]
  • The Quirk quantum circuit simulator