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Quantum Correlations Beyond Entanglement
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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 56 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.
Book Synopsis The Role of Quantum Correlations Beyond Entanglement in Quantum Information Theory by : Alexander Streltsov
Download or read book The Role of Quantum Correlations Beyond Entanglement in Quantum Information Theory written by Alexander Streltsov and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Quantum Correlations in and Beyond Quantum Entanglement in Bipartite Continuous Variable Systems by : Richard Tatham
Download or read book Quantum Correlations in and Beyond Quantum Entanglement in Bipartite Continuous Variable Systems written by Richard Tatham and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Discord, Epr Steering and Bell-type Correlations for Secure Cv Quantum Communications by : Sara Hosseini
Download or read book Quantum Discord, Epr Steering and Bell-type Correlations for Secure Cv Quantum Communications written by Sara Hosseini and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum states can be correlated in ways beyond what is possible for classical states. These correlations are considered as the main resource for quantum computation and communication tasks. In this thesis, I present my studies on the different forms of Quantum Correlations known as "Quantum Discord", "Einstein-Podolsky-Rosen(EPR) Steering" and "Bel-type correlations" in the continuous-variable quantum states and investigate their practical applications for the secure quantum communication. While previously quantum entanglement was considered as the only form of quantum correlation, in the recent years a notion known as quantum discord which captures extra quantum correlations beyond entanglement was introduced by Ollivier and Zurek. This sort of non-classicality that can exist even in separable states, has raised so much aspiration for the potential applications, as they are less fragile than the entangled states. Therefore, of especial interest is to know if a bipartite quantum state is discordant or not. In this thesis I will describe the simple and efficient experimental technique that we have introduced and experimentally implemented to verify quantum discord in unknown Gaussian states and a certain class of non-Gaussian states. According to our method, the peak separation between the marginal distributions of one subsystem conditioned on two different outcomes of homodyne measurement conducted on the other subsystem is an indication of nonzero quantum discord. We implemented this method experimentally by preparing bipartite Gaussian and non-Gaussian states and proved nonzero quantum discord in all the prepared states. Though quantum key distribution has become a mature technology, the possibility of hacking the devices used in the quantum communications has motivated the scientists to develop the schemes where one or non of the devices used by the communicating parties need to be trusted. Quantum correlations are the key to develop these schemes. Particularly, EPR steering is connected to the one-sided-deviceindependent quantum key distribution in which devices of one party are solely trusted and Bell-type correlations to the fully device-independent quantum key distribution where non of the apparatuses of the communicating parties is trusted. Here, I will present the result of our theoretical and experimental research to develop one-sided-device-independent quantum key distribution in continuous variables. We identify all Gaussian protocols that can in principle be one-sided-device independent. This consists of 6 protocols out of 16 possible Gaussian protocols, which surprisingly includes the protocol that applies only coherent states. We experimentally implemented both the entanglement-based and coherent state protocols and manifested their loss tolerance. Our results open the door for the practical secure quantum communications, asserting the link between the EPR-steering andone-sided-device-independence. Due to the maturity of quantum information using continuous variables, it is important to develop a Bell-type inequality in this regime. Despite its fundamental importance, Bell-type correlation is linked to the device-independent quantum key distribution. I developed a computer modelling based on the proposal of ref [1, 2] to demonstrate continuous-variable Bell-type correlation. The results of my computer simulations that are presented in this thesis show the feasibility of these proposals, which makes the real-life implementation of continuous-variable device-independent quantum key distribution possible.
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 254 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.
Book Synopsis Quantum Information by : Dagmar Bruss
Download or read book Quantum Information written by Dagmar Bruss and published by John Wiley & Sons. This book was released on 2019-02-05 with total page 1152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook on the rapidly advancing field introduces readers to the fundamental concepts of information theory and quantum entanglement, taking into account the current state of research and development. It thus covers all current concepts in quantum computing, both theoretical and experimental, before moving on to the latest implementations of quantum computing and communication protocols. It contains problems and exercises and is therefore ideally suited for students and lecturers in physics and informatics, as well as experimental and theoretical physicists in academia and industry who work in the field of quantum information processing. The second edition incorporates important recent developments such as quantum metrology, quantum correlations beyond entanglement, and advances in quantum computing with solid state devices.
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.
Book Synopsis Quantum Correlations in and Beyond Quantum Entanglement in Bipartite Continuous Variable Systems by : Richard Tatham
Download or read book Quantum Correlations in and Beyond Quantum Entanglement in Bipartite Continuous Variable Systems written by Richard Tatham and published by . This book was released on 2012 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis explores the role of non-classical correlations in bipartite continuous variable quantum systems, and the approach taken is three-fold. We show that given two initially entangled atomic ensembles, it is possible to probabilistically increase the entanglement between them using a beamsplitter-like interaction formed from two quantum non-demolition (QND) interactions with auxiliary polarised light modes. We then develop an elegant method to calculate density matrix elements of non-Gaussian bipartite quantum states and use this to show that the entanglement in a two mode squeezed vacuum can be distilled using QND interactions and non-Gaussian elements. Secondly, we introduce a potential new measure of quantum entanglement in bipartite Gaussian states. This measure has an operational meaning in quantum cryptography and provides an upper bound on the amount of a secret key that can be distilled from a Gaussian probability distribution shared by two conspirators, Alice and Bob, given the presence of an eavesdropper, Eve. Finally, we go beyond the realm of quantum entanglement to explore other non-classical correlations in continuous variable systems. We provide solutions for a number of these measures on two mode Gaussian states and introduce the Gaussian Ameliorated Measurement Induced Disturbance (GAMID). The interplay between these different measures and quantum entanglement is examined. We then attempt to take small steps into the non-Gaussian regime by computing these non-classicality measures on the three-parameter continuous variable Werner states.
Book Synopsis Quantum Information, 2 Volume Set by : Dagmar Bruss
Download or read book Quantum Information, 2 Volume Set written by Dagmar Bruss and published by John Wiley & Sons. This book was released on 2019-06-10 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook on the rapidly advancing field introduces readers to the fundamental concepts of information theory and quantum entanglement, taking into account the current state of research and development. It thus covers all current concepts in quantum computing, both theoretical and experimental, before moving on to the latest implementations of quantum computing and communication protocols. It contains problems and exercises and is therefore ideally suited for students and lecturers in physics and informatics, as well as experimental and theoretical physicists in academia and industry who work in the field of quantum information processing. The second edition incorporates important recent developments such as quantum metrology, quantum correlations beyond entanglement, and advances in quantum computing with solid state devices.
Book Synopsis Philosophy of Quantum Information and Entanglement by : Alisa Bokulich
Download or read book Philosophy of Quantum Information and Entanglement written by Alisa Bokulich and published by Cambridge University Press. This book was released on 2010-06-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent work in quantum information science has produced a revolution in our understanding of quantum entanglement. Scientists now view entanglement as a physical resource with many important applications. These range from quantum computers, which would be able to compute exponentially faster than classical computers, to quantum cryptographic techniques, which could provide unbreakable codes for the transfer of secret information over public channels. These important advances in the study of quantum entanglement and information touch on deep foundational issues in both physics and philosophy. This interdisciplinary volume brings together fourteen of the world's leading physicists and philosophers of physics to address the most important developments and debates in this exciting area of research. It offers a broad spectrum of approaches to resolving deep foundational challenges - philosophical, mathematical, and physical - raised by quantum information, quantum processing, and entanglement. This book is ideal for historians, philosophers of science and physicists.
Book Synopsis Beyond the Stars: Quantum Mechanics in Space by : N.B. Singh
Download or read book Beyond the Stars: Quantum Mechanics in Space written by N.B. Singh and published by N.B. Singh. This book was released on with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Beyond the Stars: Quantum Mechanics in Space" is a captivating exploration that intertwines the realms of quantum mechanics and space exploration. Tailored for enthusiasts, students, and researchers in both quantum physics and astrophysics, this book delves into the fascinating interplay between quantum phenomena and the vastness of the cosmos. Covering topics such as quantum entanglement, superposition, and their implications for space-time, the book provides a clear and concise overview of how quantum principles influence our understanding of the universe. With a blend of theoretical insights and cosmic wonders, it serves as an enlightening resource for those intrigued by the extraordinary connection between quantum mechanics and the mysteries of outer space.
Book Synopsis Quantum Correlations, Quantum Resource Theories and Exclusion Game by : Zi-Wen Liu
Download or read book Quantum Correlations, Quantum Resource Theories and Exclusion Game written by Zi-Wen Liu and published by . This book was released on 2015 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis addresses two topics in quantum information theory. The first topic is quantum correlations and quantum resource theory. The second is quantum communication theory. The first part summarizes an ongoing work about quantum correlations beyond entanglement and quantum resource theories. We systematically explain the concept quantum correlations beyond entanglement, and introduce a unified framework of measuring such correlations with entropic quantities. In particular, a new measure called Diagonal Discord (DD), which is simpler to compute than discord but still possesses several nice properties, is proposed. As an application to real physical scenarios, we study the scaling behaviors of quantum correlations in spin lattices with these measures. On its own, however, the theory of quantum correlations is not yet a satisfactory quantum resource theory. Some partial results towards this goal are introduced. Furthermore, a unified abstract structure of general quantum resource theories and its duality is formalized. The second part shows that there exist (one-way) communication tasks with an infinite gap between quantum communication complexity and quantum information complexity. We consider the exclusion game, recently introduced by Perry, Jain and Oppenheim [80], which exhibits the property that for appropriately chosen parameters of the game, there exists an winning quantum strategy that reveals vanishingly small amount of information as the size of the problem n increases, i.e., the quantum (internal) information cost vanishes in the large n limit. For those parameters, we prove the quantum communication cost (the size of quantum communication to succeed) is lower bounded by Q (log n), thereby proving an infinite gap between quantum information and communication costs. This infinite gap is further shown to be robust against sufficiently small error. Some other interesting features of the exclusion game are also discovered as byproducts.
Book Synopsis Quantum Information by : Dagmar Bruss
Download or read book Quantum Information written by Dagmar Bruss and published by John Wiley & Sons. This book was released on 2019-01-30 with total page 1600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook on the rapidly advancing field introduces readers to the fundamental concepts of information theory and quantum entanglement, taking into account the current state of research and development. It thus covers all current concepts in quantum computing, both theoretical and experimental, before moving on to the latest implementations of quantum computing and communication protocols. It contains problems and exercises and is therefore ideally suited for students and lecturers in physics and informatics, as well as experimental and theoretical physicists in academia and industry who work in the field of quantum information processing. The second edition incorporates important recent developments such as quantum metrology, quantum correlations beyond entanglement, and advances in quantum computing with solid state devices.
Download or read book Quantum Objects written by Gregg Jaeger and published by Springer Science & Business Media. This book was released on 2013-08-27 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph identifies the essential characteristics of the objects described by current quantum theory and considers their relationship to space-time. In the process, it explicates the senses in which quantum objects may be consistently considered to have parts of which they may be composed or into which they may be decomposed. The book also demonstrates the degree to which reduction is possible in quantum mechanics, showing it to be related to the objective indefiniteness of quantum properties and the strong non-local correlations that can occur between the physical quantities of quantum subsystems. Careful attention is paid to the relationships among such property correlations, physical causation, probability, and symmetry in quantum theory. In this way, the text identifies and clarifies the conceptual grounds underlying the unique nature of many quantum phenomena.
Book Synopsis Information Geometry and Its Applications by : Nihat Ay
Download or read book Information Geometry and Its Applications written by Nihat Ay and published by Springer. This book was released on 2018-11-03 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gathers contributions from the fourth conference on Information Geometry and its Applications, which was held on June 12–17, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amari’s 80th birthday and was organized by the Czech Academy of Sciences’ Institute of Information Theory and Automation. The conference received valuable financial support from the Max Planck Institute for Mathematics in the Sciences (Information Theory of Cognitive Systems Group), Czech Academy of Sciences’ Institute of Information Theory and Automation, and Università degli Studi di Roma Tor Vergata. The aim of the conference was to highlight recent advances in the field of information geometry and to identify new research directions. To this end, the event brought together leading experts in the field who, in invited talks and poster sessions, discussed both theoretical work and achievements in the many fields of application in which information geometry plays an essential role.
Book Synopsis Temporal Quantum Correlations and Hidden Variable Models by : Costantino Budroni
Download or read book Temporal Quantum Correlations and Hidden Variable Models written by Costantino Budroni and published by Springer. This book was released on 2015-10-22 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, the main approach to the characterization of the set of classical probabilities, the correlation polytope approach, is reviewed for different scenarios, namely, hidden variable models discussed by Bell (local), Kochen and Specker (non-contextual), and Leggett and Garg (macrorealist). Computational difficulties associated with the method are described and a method to overcome them in several nontrivial cases is presented. For the quantum case, a general method to analyze quantum correlations in the sequential measurement scenario is provided, which allows computation of the maximal correlations. Such a method has a direct application for computation of maximal quantum violations of Leggett-Garg inequalities and it is relevant in the analysis of non-contextuality tests. Finally, possible applications of the results for quantum information tasks are discussed.
