The Mathematics of Entanglement

Abstract

These notes are from a series of lectures given at the Universidad de Los Andes in Bogotá, Colombia on some topics of current interest in quantum information. While they aim to be self-contained, they are necessarily incomplete and idiosyncratic in their coverage. For a more thorough introduction to the subject, we recommend one of the textbooks by Nielsen and Chuang or by Wilde, or the lecture notes of Mermin, Preskill or Watrous. Our notes by contrast are meant to be a relatively rapid introduction into some more contemporary topics in this fast-moving field. They are meant to be accessible to advanced undergraduates or starting graduate students.

Lecture notes for the 5th Summer School on Mathematical Physics at the Universidad de Los Andes, Bogotá, Colombia http://matematicas.uniandes.edu.co/~cursillo_gr/escuela2013/index_en.php

References in corpus (4)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• The uncertainty principle determines the non-locality of quantum mechanics
• Quantum Entanglement of Moving Bodies
• All quantum states useful for teleportation are nonlocal resources

Cited by in corpus (7)

• Schur-Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations
• Correspondence principle for many-body scars in ultracold Rydberg atoms
• Analysing quantum systems with randomised measurements
• Non-classical correlations in quantum mechanics and beyond
• Approximate quantum Markov chains
• Implementing positive maps with multiple copies of an input state
• Scaling limits of bosonic ground states, from many-body to nonlinear Schr{ö}dinger