Characterizing Multiparticle Entanglement Using The Schmidt Decomposition Of Operators

Author : Sophia Denker
Publisher : Springer Nature
Page : 107 pages
File Size : 55,6 Mb
Release : 2024-01-03
Category : Science
ISBN : 9783658432034

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Characterizing Multiparticle Entanglement Using the Schmidt Decomposition of Operators by Sophia Denker Pdf

Characterizing entanglement is an important issue in quantum information, as it is considered to be a resource for many applications such as quantum key distribution or quantum metrology. One useful tool to detect and quantify entanglement are witness operators. A standard way to construct them is based on the fidelity of pure states and mathematically relies on the Schmidt decomposition of vectors. In this book a method to build entanglement witnesses using the Schmidt decomposition of operators is presented. One can show that these are strictly stronger than the fidelity witnesses. Moreover, the concept can be generalized easily to the multipartite case, and one may use it to quantify the dimensionality of entanglement. Finally, this scheme will be used to provide two algorithms that can be combined to improve given witnesses for multiparticle entanglement.

Author : Christopher Gerry,Peter L. Knight
Publisher : Cambridge University Press
Page : 338 pages
File Size : 52,7 Mb
Release : 2005
Category : Science
ISBN : 052152735X

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Introductory Quantum Optics by Christopher Gerry,Peter L. Knight Pdf

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Author : Jordi Tura i Brugués
Publisher : Springer
Page : 0 pages
File Size : 47,9 Mb
Release : 2016-12-16
Category : Science
ISBN : 3319495704

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Characterizing Entanglement and Quantum Correlations Constrained by Symmetry by Jordi Tura i Brugués Pdf

This thesis focuses on the study and characterization of entanglement and nonlocal correlations constrained under symmetries. It includes original results as well as detailed methods and explanations for a number of different threads of research: positive partial transpose (PPT) entanglement in the symmetric states; a novel, experimentally friendly method to detect nonlocal correlations in many-body systems; the non-equivalence between entanglement and nonlocality; and elemental monogamies of correlations. Entanglement and nonlocal correlations constitute two fundamental resources for quantum information processing, as they allow novel tasks that are otherwise impossible in a classical scenario. However, their elusive characterization is still a central problem in quantum information theory. The main reason why such a fundamental issue remains a formidable challenge lies in the exponential growth in complexity of the Hilbert space as well as the space of multipartite correlations. Physical systems of interest, on the other hand, display symmetries that can be exploited to reduce this complexity, opening the possibility that some of these questions become tractable for such systems.

Author : Mark Wilde
Publisher : Cambridge University Press
Page : 673 pages
File Size : 43,5 Mb
Release : 2013-04-18
Category : Computers
ISBN : 9781107034259

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Quantum Information Theory by Mark Wilde Pdf

A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.

Author : Eva Pavarini,Erik Koch,Ulrich Schollwöck
Publisher : Forschungszentrum Jülich
Page : 562 pages
File Size : 46,9 Mb
Release : 2013
Category : Electronic
ISBN : 9783893368846

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Emergent Phenomena in Correlated Matter by Eva Pavarini,Erik Koch,Ulrich Schollwöck Pdf

Author : Anonim
Publisher : Unknown
Page : 764 pages
File Size : 47,5 Mb
Release : 2000
Category : Mathematics
ISBN : UVA:X006088869

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Mathematical Reviews by Anonim Pdf

Author : Dirk Bouwmeester,Artur K. Ekert,Anton Zeilinger
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 43,7 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662042090

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The Physics of Quantum Information by Dirk Bouwmeester,Artur K. Ekert,Anton Zeilinger Pdf

Leading experts from "The Physics of Quantum Information" network, initiated by the European Commission, bring together the most recent results from this emerging area of quantum technology. Written in a consistent style as a research monograph, the book introduces quantum cryptography, quantum teleportation, and quantum computation, considering both theory and newest experiments. Both scientists working in the field and advanced students will find a rich source of information on this exciting new area.

Author : Michael A. Nielsen,Isaac L. Chuang
Publisher : Cambridge University Press
Page : 709 pages
File Size : 44,6 Mb
Release : 2010-12-09
Category : Science
ISBN : 9781139495486

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Quantum Computation and Quantum Information by Michael A. Nielsen,Isaac L. Chuang Pdf

One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.

Author : Peter Woit
Publisher : Springer
Page : 668 pages
File Size : 45,5 Mb
Release : 2017-11-01
Category : Science
ISBN : 9783319646121

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Quantum Theory, Groups and Representations by Peter Woit Pdf

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

Author : Felipe Fernandes Fanchini,Diogo de Oliveira Soares Pinto,Gerardo Adesso
Publisher : Springer
Page : 534 pages
File Size : 50,7 Mb
Release : 2017-06-24
Category : Science
ISBN : 9783319534121

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Lectures on General Quantum Correlations and their Applications by Felipe Fernandes Fanchini,Diogo de Oliveira Soares Pinto,Gerardo Adesso Pdf

This book presents a distinctive way of understanding quantum correlations beyond entanglement, introducing readers to this less explored yet very fundamental aspect of quantum theory. It takes into account most of the new ideas involving quantum phenomena, resources, and applications without entanglement, both from a theoretical and an experimental point of view. This book serves as a reference for both beginner students and experienced researchers in physics and applied mathematics, with an interest in joining this novel venture towards understanding the quantum nature of the world.

Author : David McMahon
Publisher : John Wiley & Sons
Page : 420 pages
File Size : 41,6 Mb
Release : 2007-12-14
Category : Technology & Engineering
ISBN : 0470181362

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Quantum Computing Explained by David McMahon Pdf

A self-contained treatment of the fundamentals of quantum computing This clear, practical book takes quantum computing out of the realm of theoretical physics and teaches the fundamentals of the field to students and professionals who have not had training in quantum computing or quantum information theory, including computer scientists, programmers, electrical engineers, mathematicians, physics students, and chemists. The author cuts through the conventions of typical jargon-laden physics books and instead presents the material through his unique "how-to" approach and friendly, conversational style. Readers will learn how to carry out calculations with explicit details and will gain a fundamental grasp of: * Quantum mechanics * Quantum computation * Teleportation * Quantum cryptography * Entanglement * Quantum algorithms * Error correction A number of worked examples are included so readers can see how quantum computing is done with their own eyes, while answers to similar end-of-chapter problems are provided for readers to check their own work as they learn to master the information. Ideal for professionals and graduate-level students alike, Quantum Computing Explained delivers the fundamentals of quantum computing readers need to be able to understand current research papers and go on to study more advanced quantum texts.

Author : Karl Svozil
Publisher : World Scientific
Page : 331 pages
File Size : 41,5 Mb
Release : 2020-02-24
Category : Science
ISBN : 9789811208423

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Mathematical Methods Of Theoretical Physics by Karl Svozil Pdf

'This book could serve either as a good reference to remind students about what they have seen in their completed courses or as a starting point to show what needs more investigation. Svozil (Vienna Univ. of Technology) offers a very thorough text that leaves no mathematical area out, but it is best described as giving a synopsis of each application and how it relates to other areas … The text is organized well and provides a good reference list. Summing Up: Recommended. Upper-division undergraduates and graduate students.'CHOICEThis book contains very explicit proofs and demonstrations through examples for a comprehensive introduction to the mathematical methods of theoretical physics. It also combines and unifies many expositions of this subject, suitable for readers with interest in experimental and applied physics.

Author : Leslie E. Ballentine
Publisher : World Scientific Publishing Company Incorporated
Page : 722 pages
File Size : 52,9 Mb
Release : 2014-08-25
Category : Science
ISBN : 9814578576

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Quantum Mechanics by Leslie E. Ballentine Pdf

Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory.In this edition a new chapter on quantum information is added. As the topic is still in a state of rapid development, a comprehensive treatment is not feasible. The emphasis is on the fundamental principles and some key applications, including quantum cryptography, teleportation of states, and quantum computing. The impact of quantum information theory on the foundations of quantum mechanics is discussed. In addition, there are minor revisions to several chapters.The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it can be used by senior undergraduates too.

Author : Adriano Barenco,Andrew M Steane,Timothy P Spiller,Daniel Rohrlich,John Preskill,Sandu Popescu,Hoi-kwong Lo,Richard Jozsa,Isaac L Chuang,Charles H Bennett,Hugo Zbinden
Publisher : World Scientific
Page : 364 pages
File Size : 42,9 Mb
Release : 1998-10-15
Category : Science
ISBN : 9789814496353

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Introduction To Quantum Computation And Information by Adriano Barenco,Andrew M Steane,Timothy P Spiller,Daniel Rohrlich,John Preskill,Sandu Popescu,Hoi-kwong Lo,Richard Jozsa,Isaac L Chuang,Charles H Bennett,Hugo Zbinden Pdf

This book aims to provide a pedagogical introduction to the subjects of quantum information and quantum computation. Topics include non-locality of quantum mechanics, quantum computation, quantum cryptography, quantum error correction, fault-tolerant quantum computation as well as some experimental aspects of quantum computation and quantum cryptography. Only knowledge of basic quantum mechanics is assumed. Whenever more advanced concepts and techniques are used, they are introduced carefully. This book is meant to be a self-contained overview. While basic concepts are discussed in detail, unnecessary technical details are excluded. It is well-suited for a wide audience ranging from physics graduate students to advanced researchers.This book is based on a lecture series held at Hewlett-Packard Labs, Basic Research Institute in the Mathematical Sciences (BRIMS), Bristol from November 1996 to April 1997, and also includes other contributions.

Author : Menas Kafatos
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 44,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401708494

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Bell's Theorem, Quantum Theory and Conceptions of the Universe by Menas Kafatos Pdf

Bell's Theorem and its associated implications for the nature of the physical world remain topics of great interest. For this reason many meetings have been recently held on the interpretation of quantum theory and the implications of Bell's Theorem. Generally these meetings have been held primarily for quantum physicists and philosophers of science who have been or are actively working on the topic. Nevertheless, other philosophers of science, mathematicians, engineers as well as members of the general public have increasingly taken interest in Bell's Theorem and its implications. The Fall Workshop held at George Mason University on October 21 and 22, 1988 and titled "Bell's Theorem, Quantum Theory and Conceptions of the Universe" was of a more general scope. Not only it attracted experts in the field, it also covered other topics such as the implications of quantum non-locality for the nature of consciousness, cosmology, the anthropic principle, etc. topics usually not covered in previous meetings of this kind. The meeting was attended by more than one hundred ten specialists and other interested people from all over the world. The purpose of the meeting was not to provide a definitive answer to the general questions raised by Bell's Theorem. It is likely that the debate will go on for quite a long time. Rather, it was meant to contribute to the important dialogue between different disciplines.