Approximate Quantum Markov Chains by David Sutter.

This book is an introduction to quantum Markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem. To achieve this goal, we strengthen the data-processing inequality such that it reveals a statem...

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Bibliographic Details
Main Author:	Sutter, David (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:	1st ed. 2018.
Series:	SpringerBriefs in Mathematical Physics, 28 Springer eBook Collection.
Subjects:	Quantum physics. Mathematical physics. Condensed matter. Statistical physics. Quantum computers. Spintronics. Electronic resources (E-books)
Online Access:	Click to view e-book
Holy Cross Note:	Loaded electronically. Electronic access restricted to members of the Holy Cross Community.

Table of Contents:

Introduction
Classical Markov chains
Quantum Markov chains
Outline
Preliminaries
Notation
Schatten norms
Functions on Hermitian operators
Quantum channels
Entropy measures
Background and further reading
Tools for non-commuting operators
Pinching
Complex interpolation theory
Background and further reading
Multivariate trace inequalities
Motivation
Multivariate Araki-Lieb-Thirring inequality
Multivariate Golden-Thompson inequality
Multivariate logarithmic trace inequality
Background and further reading
Approximate quantum Markov chains
Quantum Markov chains
Sufficient criterion for approximate recoverability
Necessary criterion for approximate recoverability
Strengthened entropy inequalities
Background and further reading
A A large conditional mutual information does not imply bad recovery
B Example showing the optimality of the Lmax-term
C Solutions to exercises
References
Index.

Approximate Quantum Markov Chains by David Sutter.

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