Alice and Bob meet Banach : the interface of asymptotic geometric analysis and quantum information theory / Guillaume Aubrun, Stanisław J. Szarek.

Format:

Book

Author/Creator:

Aubrun, Guillaume, 1981- author.

Szarek, Stanisław J., author.

Series:

Mathematical surveys and monographs ; v. 223.

Mathematical Surveys and Monographs, 2331-7159 ; v. 223

Language:

English

Subjects (All):

Geometric analysis.

Quantum theory.

Physical Description:

1 online resource (xxi, 414 pages) : illustrations.

Other Title:

Interface of asymptotic geometric analysis and quantum information theory

Mathematical Surveys and Monographs.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2017]

System Details:

Mode of access : World Wide Web

text file

Contents:

Notation and basic concepts Elementary convex analysis The mathematics of quantum information theory Quantum mechanics for mathematicians More convexity Metric entropy and concentration of measure in classical spaces Gaussian processes and random matrices Some tools from asymptotic geometric analysis Entanglement of pure states in high dimensions Geometry of the set of mixed states Random quantum states Bell inequalities and the Grothendieck-Tsirelson inequality POVMs and the distillability problem Gaussian measures and Gaussian variables Classical groups and manifolds Extreme maps between Lorentz cones and the $S$-lemma Polarity and the Santaló point via duality of cones Hints to exercises Notation

Notes:

Includes bibliographical references (pages 381-408) and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2017

Description based on print version record.

Other Format:

Print version: Aubrun, Guillaume, 1981- Alice and Bob meet Banach :

ISBN:

9781470441722

Access Restriction:

Restricted for use by site license.