Title Quantum Zero-Error Information Theory Quantum Zero-Error Information Theory / by Elloa⁺ѓ B. Guedes, Francisco Marcos de Assis, Rex A.C. Medeiros

Published Cham, SWITZERLAND : Springer International Publishing, 2016-09-02 00:00:00.0

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Description 1 online resource (205) Contents 880-02 Introduction -- Fundamentals of Quantum Information Processing -- Fundamentals of Information Theory -- Classical Zero-Error Information Theory -- Zero-Error Capacity of Quantum Channels -- Zero-Error Secrecy Capacity -- Zero-Error Accessible Information of a Quantum Source -- Recent Developments in Quantum Zero-Error Information Theory 880-02/(S 7.6 Further ReadingReferences; 8 Recent Developments in Quantum Zero-Error Information Theory ; 8.1 Bell's Inequalities; 8.1.1 Functional Consistency; 8.1.2 Context; 8.1.3 Gleason's Theorem; 8.1.4 The Kochen-Specker Theorem; 8.2 Quantum Chromatic Number and Kochen-Specker Sets; 8.2.1 Relationship Between ξ(G), χq(1)(G) and χ(G); 8.3 Wielandt's Inequality; 8.3.1 Quantum Index of Primitivity; 8.4 Entanglement-Assisted Zero-Error Capacity; 8.5 Non-Commutative Graphs and Quantum Lovász Function; 8.6 QMA-Completeness of Quantum Clique; 8.7 Further Reading; References; Index Summary This book aims at presenting the field of Quantum Information Theory in an intuitive, didactic and self-contained way, taking into account several multidisciplinary aspects. Therefore, this book is particularly suited to students and researchers willing to grasp fundamental concepts in Quantum Computation and Quantum Information areas. The field of Quantum Information Theory has evolved significantly over the last three decades. Many results from classical information theory were translated and extended to a scenario where quantum effects become important. Most of the results in this area allows for an asymptotically small probability of error to represent and transmit information efficiently. Claude E. Shannon was the first scientist to realize that error-free classical information transmission can be accomplished under certain conditions. More recently, the concept of error-free classical communication was translated to the quantum context. The so-called Quantum Zero-Error Information Theory completes and extends the Shannon Zero-Error Information Theory Bibliography Includes bibliographical references and index Notes Print version record Subject Quantum computing. Information theory. Information Theory COMPUTERS -- General. Information theory Quantum computing Form Electronic book Author de Assis, Francisco Marcos, author Medeiros, Rex A.C., author ISBN 3319427946 9783319427942

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