Characterizing Entanglement And Quantum Correlations Constrained By Symmetry

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Characterizing Entanglement and Quantum Correlations Constrained by Symmetry

Author : Jordi Tura i Brugués
Publisher : Springer
ISBN 13 : 3319495712
Total Pages : 237 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Characterizing Entanglement and Quantum Correlations Constrained by Symmetry by : Jordi Tura i Brugués

Download or read book Characterizing Entanglement and Quantum Correlations Constrained by Symmetry written by Jordi Tura i Brugués and published by Springer. This book was released on 2016-12-01 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Correlations and Exchange Symmetry

Author : Enrico Sindici
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis Quantum Correlations and Exchange Symmetry by : Enrico Sindici

Download or read book Quantum Correlations and Exchange Symmetry written by Enrico Sindici and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the advantages that the flourishing fields of quantum technologies and quantum information theory achieve over their classical counterparts rely on quantum correlations. Such correlations represent a valuable resource and their characterization and quantification is a key theoretical task.We study the quantum correlations for systems which are symmetric under the exchange of any two particles for two main reasons. Firstly, exchange symmetry constrains the set of possible states for the system and reduces the degrees of freedom required to describe them, simplifying the characterization of quantum correlations. Furthermore,systems that exhibit exchange symmetry have notable physical properties that make them well-suited for quantum information tasks and quantum simulation. In this thesis we investigate how exchange symmetry affects the mathematical description, as well as the physical realization and measurement, of quantum correlations. To begin with, we address the open problem of quantifying identical-particle entanglement. We introduce a novel entanglement measure accounting for the wavefunction (anti)symmetrization in the first quantised picture of systems of fermions and bosons. This measure, which may be evaluated by means of semidefinite programming, is sensitive to quantum correlations originating from interactions and other entanglement generating dynamical processes, rather than the kinematic effect of (anti)symmetrization. We apply our novel measure to estimate entanglement based on measurements of a system of two ultracold fermionic atoms in an optical trap. Exchange symmetry is not only a property of identical-particle states, but can pertain also to distinguishable subsystems. Based on the properties of subspaces of states which are symmetric or antisymmetric under particle exchange, we introduce a novel class of exchange-symmetric bound entangled states. We provide a simple parametrization that makes it possible to obtain states which are bound entangled in terms of a convex combination of well-studied exchange-symmetric states. Finally, we study the quantum correlations of a family of states with exchange symmetry in the multipartite device-independent scenario. We evaluate the noise robustness of the task of entanglement certification for varying numbers of uncharacterised measurement devices for the states of the family. The resulting structure enables us to establish a hierarchy of quantum correlations in the tripartite case.

Quantum Correlations Beyond Entanglement

Author : Alexander Streltsov
Publisher : Springer
ISBN 13 : 3319096567
Total Pages : 48 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Quantum Correlations Beyond Entanglement by : Alexander Streltsov

Download or read book Quantum Correlations Beyond Entanglement written by Alexander Streltsov and published by Springer. This book was released on 2014-11-01 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum correlations are not restricted to the well known entanglement investigated in Bell-type experiments. Other forms of correlations, for example quantum discord, have recently been shown to play an important role in several aspects of quantum information theory. First experiments also support these findings. This book is an introduction into this up-and-coming research field and its likely impact on quantum technology. After giving a general introduction to the concept of quantum correlations and their role in quantum information theory, the author describes a number of pertinent results and their implications.

Quantum Entanglement in High Energy Physics

Author : Oliver K. Baker
Publisher : BoD – Books on Demand
ISBN 13 : 0854660836
Total Pages : 282 pages
Book Rating : 4.8/5 (546 download)

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Book Synopsis Quantum Entanglement in High Energy Physics by : Oliver K. Baker

Download or read book Quantum Entanglement in High Energy Physics written by Oliver K. Baker and published by BoD – Books on Demand. This book was released on 2024-04-24 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to research topics in quantum entanglement at the energy frontier of particle and nuclear physics, and important interdisciplinary collaborations with colleagues from fields outside of physics. A non-exhaustive list of examples of the latter can include mathematics, computer science, social sciences, philosophy, and how physics can interact with them in a way that supports successful outcomes. These are exciting times in the field of quantum information science, with new research results and their applications in society exhibiting themselves rather frequently. But what is even more exciting is that the frequency of these new results and their applications increases with a rapidity that will motivate new methods, new theories, new experiments, and new collaborations outside of the field that future researchers will find quite challenging.

Many-Particle Entanglement, Einstein-Podolsky-Rosen Steering and Bell Correlations in Bose-Einstein Condensates

Author : Matteo Fadel
Publisher : Springer
ISBN 13 : 9783030854744
Total Pages : 0 pages
Book Rating : 4.8/5 (547 download)

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Book Synopsis Many-Particle Entanglement, Einstein-Podolsky-Rosen Steering and Bell Correlations in Bose-Einstein Condensates by : Matteo Fadel

Download or read book Many-Particle Entanglement, Einstein-Podolsky-Rosen Steering and Bell Correlations in Bose-Einstein Condensates written by Matteo Fadel and published by Springer. This book was released on 2022-10-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents theoretical methods and experimental results on the study of multipartite quantum correlations in spin-squeezed Bose–Einstein condensates. Nonclassical correlations in many-body systems are particularly interesting for both fundamental research and practical applications. For their investigation, ultracold atomic ensembles offer an ideal platform, due to their high controllability and long coherence times. In particular, we introduce criteria for detecting and characterizing multipartite entanglement, Einstein–Podolsky–Rosen steering, and Bell correlations. Moreover, we present the experimental observation of such correlations in systems of about 600 atoms.

Quantum Interaction

Author : Harald Atmanspacher
Publisher : Springer
ISBN 13 : 3319286757
Total Pages : 295 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Quantum Interaction by : Harald Atmanspacher

Download or read book Quantum Interaction written by Harald Atmanspacher and published by Springer. This book was released on 2016-01-07 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on Quantum Interaction, QI 2015, held in Filzbach, Switzerland, in July 2015. The 20 papers together with 2 invited keynotes presented in this book were carefully selected from 27 submissions. Quantum Interaction has developed into an emerging interdisciplinary area of science combining research topics in mathematics, physics, psychology, economics, cognitive science, and computer science.

Quantum Correlations

Author : Farid Shahandeh
Publisher : Springer
ISBN 13 : 3030241203
Total Pages : 166 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Quantum Correlations by : Farid Shahandeh

Download or read book Quantum Correlations written by Farid Shahandeh and published by Springer. This book was released on 2019-08-02 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The correlations between physical systems provide significant information about their collective behaviour – information that is used as a resource in many applications, e.g. communication protocols. However, when it comes to the exploitation of such correlations in the quantum world, identification of the associated ‘resource’ is extremely challenging and a matter of debate in the quantum community. This dissertation describes three key results on the identification, detection, and quantification of quantum correlations. It starts with an extensive and accessible introduction to the mathematical and physical grounds for the various definitions of quantum correlations. It subsequently focusses on introducing a novel unified picture of quantum correlations by taking a modern resource-theoretic position. The results show that this novel concept plays a crucial role in the performance of collaborative quantum computations that is not captured by the standard textbook approaches. Further, this new perspective provides a deeper understanding of the quantum-classical boundary and paves the way towards establishing a resource theory of quantum computations.

Entanglement and Quantum Error Correction with Superconducting Qubits

Author : Matthew Reed
Publisher : Lulu.com
ISBN 13 : 1304084868
Total Pages : 384 pages
Book Rating : 4.3/5 (4 download)

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Book Synopsis Entanglement and Quantum Error Correction with Superconducting Qubits by : Matthew Reed

Download or read book Entanglement and Quantum Error Correction with Superconducting Qubits written by Matthew Reed and published by Lulu.com. This book was released on 2013 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bell Nonlocality

Author : Valerio Scarani
Publisher : Oxford Graduate Texts
ISBN 13 : 019878841X
Total Pages : 239 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Bell Nonlocality by : Valerio Scarani

Download or read book Bell Nonlocality written by Valerio Scarani and published by Oxford Graduate Texts. This book was released on 2019 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of quantum technologies has seen a tremendous upsurge in recent years, and the theory of Bell nonlocality has been key in making these technologies possible. Bell nonlocality is one of the most striking discoveries triggered by quantum theory. It states that in some situations, measurements of physical systems do not reveal pre-existing properties; rather, the property is created by the measurement itself. In 1964, John Bell demonstrated that the predictions of quantum theory are incompatible with the assumption that outcomes are predetermined. This phenomenon has been observed beyond any doubt in the last decades. It is an observation that is here to stay, even if quantum theory were to be replaced in the future. Besides having fundamental implications, nonlocality is so specific that it can be used to develop and certify reliable quantum devices. This book is a logical, rather than historical, presentation of nonlocality and its applications. Part 1 opens with a survey of the meaning of Bell nonlocality and its interpretations, then delves into the mathematical formalisation of this phenomenon, and finally into its manifestations in quantum theory. Part 2 is devoted to the possibility of using the evidence of nonlocality for certification of devices for quantum technologies. Part 3 explores some of the extensions and consequences of nonlocality for the foundations of physics.

Understanding Quantum Raffles

Author : Michael Janas
Publisher : Springer Nature
ISBN 13 : 3030859398
Total Pages : 267 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Understanding Quantum Raffles by : Michael Janas

Download or read book Understanding Quantum Raffles written by Michael Janas and published by Springer Nature. This book was released on 2021-12-03 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a thorough technical elaboration and philosophical defense of an objectivist informational interpretation of quantum mechanics according to which its novel content is located in its kinematical framework, that is, in how the theory describes systems independently of the specifics of their dynamics. It will be of interest to researchers and students in the philosophy of physics and in theoretical physics with an interest in the foundations of quantum mechanics. Additionally, parts of the book may be used as the basis for courses introducing non-physics majors to quantum mechanics, or for self-study by those outside of the university with an interest in quantum mechanics. With a Foreword by Jeffrey Bub. -- “Understanding Quantum Raffles is a wonderful book for both the specialists and those with curious minds. The elegance and the simplicity with which the 'three Mikes' explain some of the deepest aspects of quantum mechanics on the basis of probabilities and correlations are dazzling and delightful. The same elegance and simplicity also make the book ideal for any engaged reader who ever wondered what is so special about quantum mechanics. In our age of new quantum technologies, this is something anyone should read.” (Guido Bacciagaluppi, author of Quantum Theory at the Crossroads) “This book makes a sustained argument for an informational interpretation of quantum theory, blending an elegant mathematical characterisation of quantum correlations with incisive historical and philosophical analysis. A must-read for those interested in quantum foundations, and also a fertile source of teaching inspiration for quantum theory.” (Leah Henderson, Department of Theoretical Philosophy, University of Groningen) “This is one of the most fascinating and accessible presentations of the informational approach to quantum mechanics. What has so far been mostly restricted to the theoretical physics community is here masterfully explained for a broader audience even without a physics background. Scholars, students, and laypeople alike will appreciate the clear, vivid, and yet deep discussion of what raffle tickets and correlation elliptopes can tell us about the physics and philosophy of the quantum world.” (Markus Müller, Institute for Quantum Optics and Quantum Information, Vienna)

Tensor Network Contractions

Author : Shi-Ju Ran
Publisher : Springer Nature
ISBN 13 : 3030344894
Total Pages : 160 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Tensor Network Contractions by : Shi-Ju Ran

Download or read book Tensor Network Contractions written by Shi-Ju Ran and published by Springer Nature. This book was released on 2020-01-27 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access book aims to explain the tensor network contraction approaches in a systematic way, from the basic definitions to the important applications. This book is also useful to those who apply tensor networks in areas beyond physics, such as machine learning and the big-data analysis. Tensor network originates from the numerical renormalization group approach proposed by K. G. Wilson in 1975. Through a rapid development in the last two decades, tensor network has become a powerful numerical tool that can efficiently simulate a wide range of scientific problems, with particular success in quantum many-body physics. Varieties of tensor network algorithms have been proposed for different problems. However, the connections among different algorithms are not well discussed or reviewed. To fill this gap, this book explains the fundamental concepts and basic ideas that connect and/or unify different strategies of the tensor network contraction algorithms. In addition, some of the recent progresses in dealing with tensor decomposition techniques and quantum simulations are also represented in this book to help the readers to better understand tensor network. This open access book is intended for graduated students, but can also be used as a professional book for researchers in the related fields. To understand most of the contents in the book, only basic knowledge of quantum mechanics and linear algebra is required. In order to fully understand some advanced parts, the reader will need to be familiar with notion of condensed matter physics and quantum information, that however are not necessary to understand the main parts of the book. This book is a good source for non-specialists on quantum physics to understand tensor network algorithms and the related mathematics.

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.

Frustrated Spin Systems

Author : H. T. Diep
Publisher : World Scientific
ISBN 13 : 9814440744
Total Pages : 644 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Frustrated Spin Systems by : H. T. Diep

Download or read book Frustrated Spin Systems written by H. T. Diep and published by World Scientific. This book was released on 2013 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can OCo within a single book OCo obtain a global view of the current research development in the field of frustrated systems.This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors.The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so."

Quantum Information with Continuous Variables of Atoms and Light

Author : N. J. Cerf
Publisher : World Scientific
ISBN 13 : 1860948162
Total Pages : 629 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Quantum Information with Continuous Variables of Atoms and Light by : N. J. Cerf

Download or read book Quantum Information with Continuous Variables of Atoms and Light written by N. J. Cerf and published by World Scientific. This book was released on 2007 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum information describes the new field which bridges quantum physics and information science. The quantum world allows for completely new architectures and protocols. While originally formulated in continuous quantum variables, the field worked almost exclusively with discrete variables, such as single photons and photon pairs. The renaissance of continuous variables came with European research consortia such as ACQUIRE (Advanced Coherent Quantum Information Research) in the late 1990s, and QUICOV (Quantum Information with Continuous Variables) from 2000OCo2003. The encouraging research results of QUICOV and the new conference series CVQIP (Continuous Variable Quantum Information Processing) triggered the idea for this book. This book presents the state of the art of quantum information with continuous quantum variables. The individual chapters discuss results achieved in QUICOV and presented at the first five CVQIP conferences from 2002OCo2006. Many world-leading scientists working on continuous variables outside Europe also contribute to the book.

Philosophy of Physics

Author : Jeremy Butterfield
Publisher : Elsevier
ISBN 13 : 0444515607
Total Pages : 1481 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Philosophy of Physics by : Jeremy Butterfield

Download or read book Philosophy of Physics written by Jeremy Butterfield and published by Elsevier. This book was released on 2007 with total page 1481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ambition of this volume is twofold: to provide a comprehensive overview of the field and to serve as an indispensable reference work for anyone who wants to work in it. For example, any philosopher who hopes to make a contribution to the topic of the classical-quantum correspondence will have to begin by consulting Klaas Landsman's chapter. The organization of this volume, as well as the choice of topics, is based on the conviction that the important problems in the philosophy of physics arise from studying the foundations of the fundamental theories of physics. It follows that there is no sharp line to be drawn between philosophy of physics and physics itself. Some of the best work in the philosophy of physics is being done by physicists, as witnessed by the fact that several of the contributors to the volume are theoretical physicists: viz., Ellis, Emch, Harvey, Landsman, Rovelli, 't Hooft, the last of whom is a Nobel laureate. Key features - Definitive discussions of the philosophical implications of modern physics - Masterly expositions of the fundamental theories of modern physics - Covers all three main pillars of modern physics: relativity theory, quantum theory, and thermal physics - Covers the new sciences grown from these theories: for example, cosmology from relativity theory; and quantum information and quantum computing, from quantum theory - Contains special Chapters that address crucial topics that arise in several different theories, such as symmetry and determinism - Written by very distinguished theoretical physicists, including a Nobel Laureate, as well as by philosophers - Definitive discussions of the philosophical implications of modern physics - Masterly expositions of the fundamental theories of modern physics - Covers all three main pillars of modern physics: relativity theory, quantum theory, and thermal physics - Covers the new sciences that have grown from these theories: for example, cosmology from relativity theory; and quantum information and quantum computing, from quantum theory - Contains special Chapters that address crucial topics that arise in several different theories, such as symmetry and determinism - Written by very distinguished theoretical physicists, including a Nobel Laureate, as well as by philosophers

Lectures on General Quantum Correlations and their Applications

Author : Felipe Fernandes Fanchini
Publisher : Springer
ISBN 13 : 3319534122
Total Pages : 534 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Lectures on General Quantum Correlations and their Applications by : Felipe Fernandes Fanchini

Download or read book Lectures on General Quantum Correlations and their Applications written by Felipe Fernandes Fanchini and published by Springer. This book was released on 2017-06-24 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Communication, Computing, and Measurement 3

Author : Paolo Tombesi
Publisher : Springer Science & Business Media
ISBN 13 : 0306471140
Total Pages : 472 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Quantum Communication, Computing, and Measurement 3 by : Paolo Tombesi

Download or read book Quantum Communication, Computing, and Measurement 3 written by Paolo Tombesi and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions based on the lectures delivered and posters presented at the Fifth International Conference on Quantum Communication, Measurement and Computing (QCM&C-Y2K). This Conference is the fifth of a successful series hosted this time in Italy, was held in Capri, 3-7 July, 2000. The conference was attended by more than 200 participants from all over the world. There was also a high level of participation from graduate students, who greatly benefited from the opportunity to attend world-class conferences. The Conference Hall was hosted in La Residenza Hotel in Capri, where part of p- ticipants where housed, while others where housed in various cozy nearby - tels. All enjoyed the pleasant atmosphere offered by the island of Capri. There were 59 invited lectures given as oral presentations of 30 minutes and 94 poster papers. The major topics covered at the Conference where new experimental and theoretical results in quantum information. They were divided in five parts; i) Quantum Information and Communication, ii) Quantum Measurement, - coherence, and Tomography, iii) Quantum Computing, iv) Cryptography, v) Entanglement and Teleportation. We were lucky in that almost all major - perimental groups in the world working in this area were represented, as were the major theoreticians. There was very active audience participation. A n- ber of graduate students and post-docs were able to present their contributions in four after dinner poster sessions.