Quantum Shannon Theory
arXiv:1604.07450
Abstract
This is the 10th and final chapter of my book on Quantum Information, based on the course I have been teaching at Caltech since 1997. An earlier version of this chapter (originally Chapter 5) has been available on the course website since 1998, but this version is substantially revised and expanded. Topics covered include classical Shannon theory, quantum compression, quantifying entanglement, accessible information, and using the decoupling principle to derive achievable rates for quantum protocols. This is a draft, pre-publication copy of Chapter 10, which I will continue to update. See the URL on the title page for further updates and drafts of other chapters, and please send me an email if you notice errors.
97 pages plus front matter, 22 exercises. The final published version will be available for purchase through Cambridge University Press and other standard distribution channels. This draft copy is made available for personal use only and must not be sold or re-distributed. (v2), (v3), (v4) Corrections and additions
References in corpus (14)
- Quantum entanglement
- Black holes as mirrors: quantum information in random subsystems
- Entropic Uncertainty Relations and their Applications
- Monogamy of entanglement and other correlations
- General Entanglement Breaking Channels
- Superadditivity of communication capacity using entangled inputs
- "Squashed Entanglement" - An Additive Entanglement Measure
- The thermodynamic meaning of negative entropy
- A complete family of separability criteria
- Quantum Communication With Zero-Capacity Channels
- Relative entropy and the Bekenstein bound
- A Resource Framework for Quantum Shannon Theory
- Faithful Squashed Entanglement
- A family of quantum protocols
Cited by in corpus (7)
- Beyond Shannon Limits: Quantum Communications through Quantum Paths
- Traversable Wormholes as Quantum Channels: Exploring CFT Entanglement Structure and Channel Capacity in Holography
- How much entanglement can be created in a closed system?
- The meaning of redundancy and consensus in quantum objectivity
- Quantum Mechanics With Noncommutative Amplitudes
- Puzzles and pitfalls involving Haar-typicality in holography
- Modave Lectures on Quantum Information: An Introduction to Channels and Applications to Black Holes and AdS/CFT