Articles liés à Alice and Bob Meet Banach: The Interface of Asymptotic...

Alice and Bob Meet Banach: The Interface of Asymptotic Geometric Analysis and Quantum Information Theory - Couverture souple

Aubrun, Guillaume; Szarek, Stanislaw J.

 
9781470477967: Alice and Bob Meet Banach: The Interface of Asymptotic Geometric Analysis and Quantum Information Theory
Couverture souple
ISBN 10 : 1470477963 ISBN 13 : 9781470477967
Editeur : American Mathematical Society, 2017

Synopsis

The quest to build a quantum computer is arguably one of the major scientific and technological challenges of the twenty-first century, and quantum information theory (QIT) provides the mathematical framework for that quest. Over the last dozen or so years, it has become clear that quantum information theory is closely linked to geometric functional analysis (Banach space theory, operator spaces, high-dimensional probability), a field also known as asymptotic geometric analysis (AGA). In a nutshell, asymptotic geometric analysis investigates quantitative properties of convex sets, or other geometric structures, and their approximate symmetries as the dimension becomes large. This makes it especially relevant to quantum theory, where systems consisting of just a few particles naturally lead to models whose dimension is in the thousands, or even in the billions.

Alice and Bob Meet Banach is aimed at multiple audiences connected through their interest in the interface of QIT and AGA: at quantum information researchers who want to learn AGA or apply its tools; at mathematicians interested in learning QIT, or at least the part of QIT that is relevant to functional analysis/convex geometry/random matrix theory and related areas; and at beginning researchers in either field. Moreover, this user-friendly book contains numerous tables and explicit estimates, with reasonable constants when possible, which make it a useful reference even for established mathematicians generally familiar with the subject.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Guillaume Aubrun, Universite Claude Bernard Lyon 1, Villeurbanne, France.

Stanislaw J. Szarek, Case Western Reserve University, Cleveland, OH, and Sorbonne Universite, Paris, France.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2017
Langue
anglais
ISBN 10 
1470477963
ISBN 13 
9781470477967
Reliure
Broché
Nombre de pages
414
Coordonnées du fabricant
non disponible
Personne responsable
non disponible