书目名称 | The Functional Analysis of Quantum Information Theory | 副标题 | A Collection of Note | 编辑 | Ved Prakash Gupta,Prabha Mandayam,V.S. Sunder | 视频video | | 概述 | Authored by leading researchers in the field.First broad yet concise introduction to the subject matter.Tutorial and self-contained presentation | 丛书名称 | Lecture Notes in Physics | 图书封面 |  | 描述 | 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. 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. Today, von Neumann’s foresight finds expression in the rapidly growing field of quantum information theory. 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. 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 | 出版日期 | Book 2015 | 关键词 | Bipartite quantum states; Hilbert space operators; Operator spaces and systems; Quantum Information The | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-16718-3 | isbn_softcover | 978-3-319-16717-6 | isbn_ebook | 978-3-319-16718-3Series ISSN 0075-8450 Series E-ISSN 1616-6361 | issn_series | 0075-8450 | copyright | Springer International Publishing Switzerland 2015 |
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