PoS - Proceedings of Science
Volume 389 - XVI Modave Summer School in Mathematical Physics (Modave 2020) - Main session
Modave Lectures on Quantum Information: An Introduction to Channels and Applications to Black Holes and AdS/CFT
A. Chatwin-Davies
Full text: pdf
Published on: February 12, 2021
These notes introduce a handful of core ideas from quantum information science that figure prominently in modern research on quantum gravity. The central concept that forms the base of these notes is that of a quantum channel; that is, the most general physically-reasonable map between quantum states and between operators on Hilbert space. After reviewing some fundamentals, we will study channels and their properties, and then go on to formulate quantum error correction in terms of quantum channels. Along the way, we will see how a handful of problems in high energy physics, such as the black hole information problem and bulk reconstruction in AdS/CFT, can be cast in the information-theoretic language being set up.
DOI: https://doi.org/10.22323/1.389.0003
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