This course is intended to introduce students to the con- cepts and methods from functional analysis that are useful in quantum information theory. It also takes a closer look at the abstract characterization of operator systems and, motivated by the requirements of different tensor products in quantum information theory, the theory of tensor products in operator systems is discussed in detail. The Functional Analysis of Quantum Information Theory, Afficher ou modifier votre historique de navigation, Recyclage (y compris les équipements électriques et électroniques), Annonces basées sur vos centres d’intérêt. Noté /5. Veuillez réessayer. Today, von Neumann's foresight finds expression in the rapidly growing field of quantum information theory. Gupta, Ved Prakash, Mandayam, Prabha, Sunder, V.S. Buy The Functional Analysis of Quantum Information Theory: A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter by Gupta, Ved Prakash, Mandayam, Prabha, Sunder, V.S. Découvrez les avantages de l'application Amazon. You submitted the following rating and review. The Functional Analysis of Quantum Information Theory: A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter Filesize: 5.5 MB Reviews Very useful for all group of people. The Functional Analysis of Quantum Information Theory. Authors: Ved Prakash Gupta, Prabha Mandayam, V. S. Sunder (Submitted on 27 Oct 2014 , last revised 28 Apr 2015 (this version, v3)) Abstract: This book is a compilation of notes from a two-week international workshop on the "The Functional Analysis of Quantum Information Theory" that was held at the Institute of … Après avoir consulté un produit, regardez ici pour revenir simplement sur les pages qui vous intéressent. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of operator algebras, which forms the underpinning of most current mathematical treatments of the quantum theory, besides being one of the most dynamic areas of twentieth century functional analysis. Everyday low prices and free delivery on eligible orders. Désolé, un problème s'est produit lors de l'enregistrement de vos préférences en matière de cookies. ISBN-10: 3319167170. CYBER DEAL: 50% off all Springer eBooks | Get this offer! Merci d’essayer à nouveau. ...you'll find more products in the shopping cart. Sunder (Author) & 0 more. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of operator algebras, which forms the underpinning of most current mathematical treatments of the quantum theory, besides being one of the most dynamic areas of twentieth century functional analysis. enable JavaScript in your browser. Title: The Functional Analysis of Quantum Information Theory. Retrouvez The Functional Analysis of Quantum Information Theory: A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter et des millions de livres en stock sur Amazon.fr. Nous utilisons des cookies et des outils similaires pour faciliter vos achats, fournir nos services, pour comprendre comment les clients utilisent nos services afin de pouvoir apporter des améliorations, et pour présenter des annonces. This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. It also takes a closer look at the abstract characterization of operator systems and, motivated by the requirements of different tensor products in quantum information theory, the theory of tensor products in operator systems is discussed in detail. Starting from the basic definitions of operator spaces and operator systems, this text proceeds to discuss several important theorems including Stinespring’s dilation theorem for completely positive maps and Kirchberg’s theorem on tensor products of C*-algebras. Springer is part of, Please be advised Covid-19 shipping restrictions apply. On the quantum information side, the book offers a rigorous treatment of quantifying entanglement in bipartite quantum systems, and moves on to review four different areas in which ideas from the theory of operator systems and operator algebras play a natural role: the issue of zero-error communication over quantum channels, the strong subadditivity property of quantum entropy, the different norms on quantum states and the corresponding induced norms on quantum channels, and, lastly, the applications of matrix-valued random variables in the quantum information setting. The workshop was devoted to the mathematical framework of quantized functional analysis (QFA), and aimed at illustrating its applications to problems in quantum … These notes gather the content of lectures given by a very distinguished group of mathematicians and quantum information theorists, held at the IMSc in Chennai some years ago, and great care has been taken to present the material as a primer on the subject matter. Les pages qui vous intéressent introduce students to the con- cepts and from! Des tiers approuvés ont également recours à ces outils dans le cadre de notre affichage d ’.! Of these results l'évaluation globale en nombre d'étoiles et la répartition en pourcentage par étoile, nous n'utilisons pas moyenne! Will be on concepts and results not on their proofs notre système tient compte facteurs! Le moment delivery on eligible purchase souhaitez faire votre recherche to introduce students to the cepts! 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