Quantum Information Science And Its Contributions To Mathematics

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Quantum Information Science and Its Contributions to Mathematics

Author : American Mathematical Society. Short Course
Publisher : American Mathematical Soc.
ISBN 13 : 0821848283
Total Pages : 360 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quantum Information Science and Its Contributions to Mathematics by : American Mathematical Society. Short Course

Download or read book Quantum Information Science and Its Contributions to Mathematics written by American Mathematical Society. Short Course and published by American Mathematical Soc.. This book was released on 2010-10-19 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures delivered at the 2009 AMS Short Course on Quantum Computation and Quantum Information, held January 3-4, 2009, in Washington, D.C. Part I of this volume consists of two papers giving introductory surveys of many of the important topics in the newly emerging field of quantum computation and quantum information, i.e., quantum information science (QIS). The first paper discusses many of the fundamental concepts in QIS and ends with the curious and counter-intuitive phenomenon of entanglement concentration. The second gives an introductory survey of quantum error correction and fault tolerance, QIS's first line of defense against quantum decoherence. Part II consists of four papers illustrating how QIS research is currently contributing to the development of new research directions in mathematics. The first paper illustrates how differential geometry can be a fundamental research tool for the development of compilers for quantum computers. The second paper gives a survey of many of the connections between quantum topology and quantum computation. The last two papers give an overview of the new and emerging field of quantum knot theory, an interdisciplinary research field connecting quantum computation and knot theory. These two papers illustrate surprising connections with a number of other fields of mathematics. In the appendix, an introductory survey article is also provided for those readers unfamiliar with quantum mechanics.

Quantum Information and Quantum Computing

Author : Mikio Nakahara
Publisher : World Scientific
ISBN 13 : 9814425222
Total Pages : 194 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Information and Quantum Computing by : Mikio Nakahara

Download or read book Quantum Information and Quantum Computing written by Mikio Nakahara and published by World Scientific. This book was released on 2013 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The open research center project "Interdisciplinary fundamental research toward realization of a quantum computer" has been supported by the Ministry of Education, Japan for five years. This is a collection of the research outcomes by the members engaged in the project. To make the presentation self-contained, it starts with an overview by Mikio Nakahara, which serves as a concise introduction to quantum information and quantum computing. Subsequent contributions include subjects from physics, chemistry, mathematics, and information science, reflecting upon the wide variety of scientists working under this project. These contributions introduce NMR quantum computing and related techniques, number theory and coding theory, quantum error correction, photosynthesis, non-classical correlations and entanglement, neutral atom quantum computer, among others. Each of the contributions will serve as a short introduction to these cutting edge research fields.

Topics on Quantum Information Science

Author : Sergio Curilef
Publisher : BoD – Books on Demand
ISBN 13 : 1839687681
Total Pages : 192 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Topics on Quantum Information Science by : Sergio Curilef

Download or read book Topics on Quantum Information Science written by Sergio Curilef and published by BoD – Books on Demand. This book was released on 2021-12-08 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to current research topics in quantum information science. Chapters address issues related to the implementation of new quantum information technologies and discuss developments involving the application of information-theoretical ideas to the analysis of fundamental problems at the frontiers of contemporary physics.

Mathematics of Quantum Computation and Quantum Technology

Author : Louis Kauffman
Publisher : CRC Press
ISBN 13 : 1584889004
Total Pages : 625 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Mathematics of Quantum Computation and Quantum Technology by : Louis Kauffman

Download or read book Mathematics of Quantum Computation and Quantum Technology written by Louis Kauffman and published by CRC Press. This book was released on 2007-09-19 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation an

Quantum Information Theory and Quantum Statistics

Author : Dénes Petz
Publisher : Springer Science & Business Media
ISBN 13 : 3540746366
Total Pages : 221 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Quantum Information Theory and Quantum Statistics by : Dénes Petz

Download or read book Quantum Information Theory and Quantum Statistics written by Dénes Petz and published by Springer Science & Business Media. This book was released on 2007-10-20 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.

Theory of Quantum Information with Memory

Author : Mou-Hsiung Chang
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110788195
Total Pages : 426 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Theory of Quantum Information with Memory by : Mou-Hsiung Chang

Download or read book Theory of Quantum Information with Memory written by Mou-Hsiung Chang and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-08-22 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date account of current research in quantum information theory, at the intersection of theoretical computer science, quantum physics, and mathematics. The book confronts many unprecedented theoretical challenges generated by infi nite dimensionality and memory effects in quantum communication. The book will also equip readers with all the required mathematical tools to understand these essential questions.

Quantum Physics and Geometry

Author : Edoardo Ballico
Publisher : Springer
ISBN 13 : 3030061221
Total Pages : 173 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Quantum Physics and Geometry by : Edoardo Ballico

Download or read book Quantum Physics and Geometry written by Edoardo Ballico and published by Springer. This book was released on 2019-03-13 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects independent contributions on current developments in quantum information theory, a very interdisciplinary field at the intersection of physics, computer science and mathematics. Making intense use of the most advanced concepts from each discipline, the authors give in each contribution pedagogical introductions to the main concepts underlying their present research and present a personal perspective on some of the most exciting open problems. Keeping this diverse audience in mind, special efforts have been made to ensure that the basic concepts underlying quantum information are covered in an understandable way for mathematical readers, who can find there new open challenges for their research. At the same time, the volume can also be of use to physicists wishing to learn advanced mathematical tools, especially of differential and algebraic geometric nature.

Introduction to Quantum Information Science

Author : Vlatko Vedral
Publisher : Oxford University Press on Demand
ISBN 13 : 0199215707
Total Pages : 194 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Introduction to Quantum Information Science by : Vlatko Vedral

Download or read book Introduction to Quantum Information Science written by Vlatko Vedral and published by Oxford University Press on Demand. This book was released on 2006-09-28 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to treating quantum communication, entanglement and algorithms, this book also addresses a number of miscellaneous topics, such as Maxwell's demon, Landauer's erasure, the Bekenstein bound and Caratheodory's treatment of the Second law of thermodyanmics.

The Theory of Quantum Information

Author : John Watrous
Publisher :
ISBN 13 : 1107180562
Total Pages : 599 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis The Theory of Quantum Information by : John Watrous

Download or read book The Theory of Quantum Information written by John Watrous and published by . This book was released on 2018-04-26 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.

Quantum Information

Author : Gregg Jaeger
Publisher : Springer Science & Business Media
ISBN 13 : 0387369449
Total Pages : 291 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Quantum Information by : Gregg Jaeger

Download or read book Quantum Information written by Gregg Jaeger and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview for practitioners and students of quantum physics and information science. It provides ready access to essential information on quantum information processing and communication, such as definitions, protocols and algorithms. Quantum information science is rarely found in clear and concise form. This book brings together this information from its various sources. It allows researchers and students in a range of areas including physics, photonics, solid-state electronics, nuclear magnetic resonance and information technology, in their applied and theoretical branches, to have this vital material directly at hand.

Quantum Information Theory

Author : Mark M. Wilde
Publisher : Cambridge University Press
ISBN 13 : 1316813304
Total Pages : 1020 pages
Book Rating : 4.3/5 (168 download)

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Book Synopsis Quantum Information Theory by : Mark M. Wilde

Download or read book Quantum Information Theory written by Mark M. Wilde and published by Cambridge University Press. This book was released on 2017-02-06 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing many of the major, exciting, pre- and post-millennium developments from the ground up, this book is an ideal entry point for graduate students into quantum information theory. Significant attention is given to quantum mechanics for quantum information theory, and careful studies of the important protocols of teleportation, superdense coding, and entanglement distribution are presented. In this new edition, readers can expect to find over 100 pages of new material, including detailed discussions of Bell's theorem, the CHSH game, Tsirelson's theorem, the axiomatic approach to quantum channels, the definition of the diamond norm and its interpretation, and a proof of the Choi–Kraus theorem. Discussion of the importance of the quantum dynamic capacity formula has been completely revised, and many new exercises and references have been added. This new edition will be welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.

Logic and Algebraic Structures in Quantum Computing

Author : Jennifer Chubb
Publisher : Cambridge University Press
ISBN 13 : 110703339X
Total Pages : 355 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Logic and Algebraic Structures in Quantum Computing by : Jennifer Chubb

Download or read book Logic and Algebraic Structures in Quantum Computing written by Jennifer Chubb and published by Cambridge University Press. This book was released on 2016-02-26 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experts in the field explore the connections across physics, quantum logic, and quantum computing.

Quantum Information and Computation for Chemistry, Volume 154

Author : Sabre Kais
Publisher : John Wiley & Sons
ISBN 13 : 1118742605
Total Pages : 522 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Quantum Information and Computation for Chemistry, Volume 154 by : Sabre Kais

Download or read book Quantum Information and Computation for Chemistry, Volume 154 written by Sabre Kais and published by John Wiley & Sons. This book was released on 2014-01-31 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the intersection of quantum information and chemical physics The Advances in Chemical Physics series is dedicated to reviewing new and emerging topics as well as the latest developments in traditional areas of study in the field of chemical physics. Each volume features detailed comprehensive analyses coupled with individual points of view that integrate the many disciplines of science that are needed for a full understanding of chemical physics. This volume of the series explores the latest research findings, applications, and new research paths from the quantum information science community. It examines topics in quantum computation and quantum information that are related to or intersect with key topics in chemical physics. The reviews address both what chemistry can contribute to quantum information and what quantum information can contribute to the study of chemical systems, surveying both theoretical and experimental quantum information research within the field of chemical physics. With contributions from an international team of leading experts, Volume 154 offers seventeen detailed reviews, including: Introduction to quantum information and computation for chemistry Quantum computing approach to non-relativistic and relativistic molecular energy calculations Quantum algorithms for continuous problems and their applications Photonic toolbox for quantum simulation Vibrational energy and information transfer through molecular chains Tensor networks for entanglement evolution Reviews published in Advances in Chemical Physics are typically longer than those published in journals, providing the space needed for readers to fully grasp the topic: the fundamentals as well as the latest discoveries, applications, and emerging avenues of research. Extensive cross-referencing enables readers to explore the primary research studies underlying each topic.

Problems And Solutions In Quantum Computing And Quantum Information (3rd Edition)

Author : Willi-hans Steeb
Publisher : World Scientific Publishing Company
ISBN 13 : 9813108215
Total Pages : 423 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Problems And Solutions In Quantum Computing And Quantum Information (3rd Edition) by : Willi-hans Steeb

Download or read book Problems And Solutions In Quantum Computing And Quantum Information (3rd Edition) written by Willi-hans Steeb and published by World Scientific Publishing Company. This book was released on 2011-09-16 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computing and quantum information are two of the fastest growing and most exciting research fields in physics. Entanglement, teleportation and the possibility of using the non-local behavior of quantum mechanics to factor integers in random polynomial time have also added to this new interest. This book supplies a huge collection of problems in quantum computing and quantum information together with their detailed solutions, which will prove to be invaluable to students as well as researchers in these fields. All the important concepts and topics such as quantum gates and quantum circuits, product Hilbert spaces, entanglement and entanglement measures, deportation, Bell states, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gate, von Neumann entropy, quantum cryptography, quantum error corrections, number states and Bose operators, coherent states, squeezed states, Gaussian states, POVM measurement, quantum optics networks, beam splitter, phase shifter and Kerr Hamilton operator are included. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained.

Topology And Physics

Author : Chen Ning Yang
Publisher : World Scientific
ISBN 13 : 9813278684
Total Pages : 231 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Topology And Physics by : Chen Ning Yang

Download or read book Topology And Physics written by Chen Ning Yang and published by World Scientific. This book was released on 2019-01-09 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The book is an engaging and influential collection of significant contributions from an assembly of world expert leaders and pioneers from different fields, working at the interface between topology and physics or applications of topology to physical systems … The book explores many interesting and novel topics that lie at the intersection between gravity, quantum fields, condensed matter, physical cosmology and topology … A rich, well-organized, and comprehensive overview of remarkable and insightful connections between physics and topology is here made available to the physics reader.'Contemporary PhysicsSince its birth in Poincaré's seminal 1894 'Analysis Situs', topology has become a cornerstone of mathematics. As with all beautiful mathematical concepts, topology inevitably — resonating with that Wignerian principle of the effectiveness of mathematics in the natural sciences — finds its prominent role in physics. From Chern-Simons theory to topological quantum field theory, from knot invariants to Calabi-Yau compactification in string theory, from spacetime topology in cosmology to the recent Nobel Prize winning work on topological insulators, the interactions between topology and physics have been a triumph over the past few decades.In this eponymous volume, we are honoured to have contributions from an assembly of grand masters of the field, guiding us with their world-renowned expertise on the subject of the interplay between 'Topology' and 'Physics'. Beginning with a preface by Chen Ning Yang on his recollections of the early days, we proceed to a novel view of nuclei from the perspective of complex geometry by Sir Michael Atiyah and Nick Manton, followed by an entrée toward recent developments in two-dimensional gravity and intersection theory on the moduli space of Riemann surfaces by Robbert Dijkgraaf and Edward Witten; a study of Majorana fermions and relations to the Braid group by Louis H Kauffman; a pioneering investigation on arithmetic gauge theory by Minhyong Kim; an anecdote-enriched review of singularity theorems in black-hole physics by Sir Roger Penrose; an adventure beyond anyons by Zhenghan Wang; an aperçu on topological insulators from first-principle calculations by Haijun Zhang and Shou-Cheng Zhang; finishing with synopsis on quantum information theory as one of the four revolutions in physics and the second quantum revolution by Xiao-Gang Wen. We hope that this book will serve to inspire the research community.

Device-Independent Quantum Information Processing

Author : Rotem Arnon-Friedman
Publisher : Springer Nature
ISBN 13 : 3030602311
Total Pages : 217 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Device-Independent Quantum Information Processing by : Rotem Arnon-Friedman

Download or read book Device-Independent Quantum Information Processing written by Rotem Arnon-Friedman and published by Springer Nature. This book was released on 2020-10-31 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Device-independent quantum cryptography is a method for exchanging secret messages over potentially insecure quantum communication channels, such as optical fibers. In contrast to conventional quantum cryptography, security is guaranteed even if the devices used by the communication partners, such as photon sources and detectors, deviate from their theoretical specifications. This is of high practical relevance, for attacks to current implementations of quantum cryptography exploit exactly such deviations. Device-independent cryptography is however technologically so demanding that it looked as if experimental realizations are out of reach. In her thesis, Rotem Arnon-Friedman presents powerful information-theoretic methods to prove the security of device-independent quantum cryptography. Based on them, she is able to establish security in a parameter regime that may be experimentally achievable in the near future. Rotem Arnon-Friedman's thesis thus provides the theoretical foundations for an experimental demonstration of device-independent quantum cryptography.

Problems And Solutions In Quantum Computing And Quantum Information (4th Edition)

Author : Willi-hans Steeb
Publisher : World Scientific Publishing Company
ISBN 13 : 9813238429
Total Pages : 554 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Problems And Solutions In Quantum Computing And Quantum Information (4th Edition) by : Willi-hans Steeb

Download or read book Problems And Solutions In Quantum Computing And Quantum Information (4th Edition) written by Willi-hans Steeb and published by World Scientific Publishing Company. This book was released on 2018-02-13 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This is a very useful book which helps to understand the concepts of quantum computing and quantum information by well presented problems and detailed solutions … It is highly recommended for beginners as well as for advanced researchers.'zbMATHQuantum computing and quantum information are two of the fastest growing and most exciting research fields in physics. Entanglement, teleportation and the possibility of using the non-local behavior of quantum mechanics to factor integers in random polynomial time have also added to this new interest.This book presents a huge collection of problems in quantum computing and quantum information together with their detailed solutions, which will prove to be invaluable to students as well as researchers in these fields. Each chapter gives a comprehensive introduction to the topics. All the important concepts and areas such as quantum gates and quantum circuits, product Hilbert spaces, entanglement and entanglement measures, teleportation, Bell states, Bell measurement, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gate, von Neumann entropy, quantum cryptography, quantum error corrections, quantum games, number states and Bose operators, coherent states, squeezed states, Gaussian states, coherent Bell states, POVM measurement, quantum optics networks, beam splitter, phase shifter and Kerr Hamilton operator are included. A chapter on quantum channels has also been added. Furthermore a chapter on boolean functions and quantum gates with mapping bits to qubits is included.The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Each chapter also contains supplementary problems to challenge the reader. Programming problems with Maxima and SymbolicC++ implementations are also provided.