Quantum Quenching Annealing And Computation

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Quantum Quenching, Annealing and Computation

Anjan Kumar Chandra,Arnab Das,Bikas K. Chakrabarti
Quantum Quenching Annealing and Computation Book PDF

Author : Anjan Kumar Chandra,Arnab Das,Bikas K. Chakrabarti
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 44,8 Mb
Release : 2010-05-11
Category : Science
ISBN : 9783642114694

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Quantum Quenching, Annealing and Computation by Anjan Kumar Chandra,Arnab Das,Bikas K. Chakrabarti Pdf

The process of realizing the ground state of some typical (frustrated) quantum many-body systems, starting from the ‘disordered’ or excited states, can be formally mapped to the search of solutions for computationally hard problems. The dynamics through the critical point, in between, are therefore extremely crucial. In the context of such computational optimization problems, the dynamics (of rapid quenching or slow annealing), while tuning the appropriate elds or uctuations, in particular while crossing the quantum critical point, are extremely intriguing and are being investigated these days intensively. Several successful methods and tricks are now well established. This volume gives a collection of introductory reviews on such developments written by well-known experts. It concentrates on quantum phase transitions and their dynamics as the transition or critical points are crossed. Both the quenching and annealing dynamics are extensively covered. We hope these timely reviews will inspire the young researchers to join and c- tribute to this fast-growing, intellectually challenging, as well as technologically demanding eld. We are extremely thankful to the contributors for their intensive work and pleasant cooperations. We are also very much indebted to Kausik Das for his help in compiling this book. Finally, we express our gratitude to Johannes Zittartz, Series Editor, LNP, and Christian Caron of physics editorial department of Springer for their encouragement and support.

Quantum Quenching, Annealing and Computation

Anjan Kumar Chandra,Arnab Das,Bikas K. Chakrabarti
Quantum Quenching Annealing and Computation Book PDF

Author : Anjan Kumar Chandra,Arnab Das,Bikas K. Chakrabarti
Publisher : Springer
Page : 320 pages
File Size : 47,9 Mb
Release : 2010-07-23
Category : Science
ISBN : 9783642114700

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Quantum Quenching, Annealing and Computation by Anjan Kumar Chandra,Arnab Das,Bikas K. Chakrabarti Pdf

The process of realizing the ground state of some typical (frustrated) quantum many-body systems, starting from the ‘disordered’ or excited states, can be formally mapped to the search of solutions for computationally hard problems. The dynamics through the critical point, in between, are therefore extremely crucial. In the context of such computational optimization problems, the dynamics (of rapid quenching or slow annealing), while tuning the appropriate elds or uctuations, in particular while crossing the quantum critical point, are extremely intriguing and are being investigated these days intensively. Several successful methods and tricks are now well established. This volume gives a collection of introductory reviews on such developments written by well-known experts. It concentrates on quantum phase transitions and their dynamics as the transition or critical points are crossed. Both the quenching and annealing dynamics are extensively covered. We hope these timely reviews will inspire the young researchers to join and c- tribute to this fast-growing, intellectually challenging, as well as technologically demanding eld. We are extremely thankful to the contributors for their intensive work and pleasant cooperations. We are also very much indebted to Kausik Das for his help in compiling this book. Finally, we express our gratitude to Johannes Zittartz, Series Editor, LNP, and Christian Caron of physics editorial department of Springer for their encouragement and support.

Adiabatic Quantum Computation and Quantum Annealing

Catherine C. McGeoch
Adiabatic Quantum Computation and Quantum Annealing Book PDF

Author : Catherine C. McGeoch
Publisher : Morgan & Claypool Publishers
Page : 95 pages
File Size : 48,9 Mb
Release : 2014-07-01
Category : Science
ISBN : 9781627053365

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Adiabatic Quantum Computation and Quantum Annealing by Catherine C. McGeoch Pdf

Adiabatic quantum computation (AQC) is an alternative to the better-known gate model of quantum computation. The two models are polynomially equivalent, but otherwise quite dissimilar: one property that distinguishes AQC from the gate model is its analog nature. Quantum annealing (QA) describes a type of heuristic search algorithm that can be implemented to run in the ``native instruction set'' of an AQC platform. D-Wave Systems Inc. manufactures {quantum annealing processor chips} that exploit quantum properties to realize QA computations in hardware. The chips form the centerpiece of a novel computing platform designed to solve NP-hard optimization problems. Starting with a 16-qubit prototype announced in 2007, the company has launched and sold increasingly larger models: the 128-qubit D-Wave One system was announced in 2010 and the 512-qubit D-Wave Two system arrived on the scene in 2013. A 1,000-qubit model is expected to be available in 2014. This monograph presents an introductory overview of this unusual and rapidly developing approach to computation. We start with a survey of basic principles of quantum computation and what is known about the AQC model and the QA algorithm paradigm. Next we review the D-Wave technology stack and discuss some challenges to building and using quantum computing systems at a commercial scale. The last chapter reviews some experimental efforts to understand the properties and capabilities of these unusual platforms. The discussion throughout is aimed at an audience of computer scientists with little background in quantum computation or in physics.

Quantum Spin Glasses, Annealing and Computation

Shu Tanaka,Ryo Tamura,Bikas K. Chakrabarti
Quantum Spin Glasses Annealing and Computation Book PDF

Author : Shu Tanaka,Ryo Tamura,Bikas K. Chakrabarti
Publisher : Cambridge University Press
Page : 423 pages
File Size : 47,8 Mb
Release : 2017-05-04
Category : Computers
ISBN : 9781107113190

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Quantum Spin Glasses, Annealing and Computation by Shu Tanaka,Ryo Tamura,Bikas K. Chakrabarti Pdf

"Discusses the recent developments in quantum statistical physics of spin glasses and quantum computations"--Provided by publisher.

Interface Between Quantum Information and Statistical Physics

Mikio Nakahara
Interface Between Quantum Information and Statistical Physics Book PDF

Author : Mikio Nakahara
Publisher : World Scientific
Page : 278 pages
File Size : 52,6 Mb
Release : 2013
Category : Computers
ISBN : 9789814425285

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Interface Between Quantum Information and Statistical Physics by Mikio Nakahara Pdf

This book is a collection of contributions to the Symposium on Interface between Quantum Information and Statistical Physics held at Kinki University in November 2011. Subjects of the symposium include quantum adiabatic computing, quantum simulator using bosons, classical statistical physics, among others. Contributions to this book are prepared in a self-contained manner so that a reader with a modest background may understand the subjects.

Quantum Information and Quantum Computing

Mikio Nakahara
Quantum Information and Quantum Computing Book PDF

Author : Mikio Nakahara
Publisher : World Scientific
Page : 194 pages
File Size : 42,6 Mb
Release : 2013
Category : Computers
ISBN : 9789814425223

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Quantum Information and Quantum Computing by Mikio Nakahara Pdf

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.

Lectures on Quantum Computing, Thermodynamics and Statistical Physics

Mikio Nakahara
Lectures on Quantum Computing Thermodynamics and Statistical Physics Book PDF

Author : Mikio Nakahara
Publisher : World Scientific
Page : 199 pages
File Size : 54,8 Mb
Release : 2013
Category : Science
ISBN : 9789814425193

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Lectures on Quantum Computing, Thermodynamics and Statistical Physics by Mikio Nakahara Pdf

This book is a collection of lecture notes from the Symposium on Quantum Computing, Thermodynamics, and Statistical Physics, held at Kinki University in March 2012. Quantum information theory has a deep connection with statistical physics and thermodynamics. This volume introduces some of the topics on interface among the mentioned fields. Subjects included in the lecture notes include quantum annealing method, nonequilibrium thermodynamics and spin glass theory, among others. These subjects were presented with much emphasis put in its relevance in quantum information theory. These lecture notes are prepared in a self-contained manner so that a reader with modest background may understand the subjects.

Recent Developments in Theoretical Physics

Subir Ghosh,Guruprasad Kar
Recent Developments in Theoretical Physics Book PDF

Author : Subir Ghosh,Guruprasad Kar
Publisher : World Scientific
Page : 438 pages
File Size : 51,7 Mb
Release : 2009
Category : Science
ISBN : 9789814287326

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Recent Developments in Theoretical Physics by Subir Ghosh,Guruprasad Kar Pdf

This volume covers recent developments in the major areas of theoretical physics. The scope of the book ranges from small length scale (High Energy Physics, Neutrinos ?) through medium scale (Nuclear Physics) to large length scale (Condensed Matter Physics) up to classical and quantum Black Hole Physics. It also deals with topics in nonlinear physics, econophysics, new ideas in quantum mechanics, quantum information and quantum computation.

Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics

Ricardo Puebla
Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics Book PDF

Author : Ricardo Puebla
Publisher : Springer
Page : 203 pages
File Size : 42,6 Mb
Release : 2018-09-17
Category : Science
ISBN : 9783030006532

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Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics by Ricardo Puebla Pdf

In this book, the equilibrium and nonequilibrium properties of continuous phase transitions are studied in various systems, with a special emphasis on understanding how well-established universal traits at equilibrium may be extended into the dynamic realm, going beyond the paradigmatic Kibble–Zurek mechanism of defect formation. This book reports on the existence of a quantum phase transition in a system comprising just a single spin and a bosonic mode (the quantum Rabi model). Though critical phenomena are inherent to many-body physics, the author demonstrates that this small and ostensibly simple system allows us to explore the rich phenomenology of phase transitions, both in- and out-of-equilibrium. Moreover, the universal traits of this quantum phase transition may be realized in a single trapped-ion experiment, thus avoiding the need to scale up the number of constituents. In this system, the phase transition takes place in a suitable limit of system parameters rather than in the conventional thermodynamic limit – a novel notion that the author and his collaborators have dubbed the finite-component system phase transition. As such, the results gathered in this book will open promising new avenues in our understanding and exploration of quantum critical phenomena.

Modelling Non-Markovian Quantum Systems Using Tensor Networks

Aidan Strathearn
Modelling Non Markovian Quantum Systems Using Tensor Networks Book PDF

Author : Aidan Strathearn
Publisher : Springer Nature
Page : 113 pages
File Size : 55,8 Mb
Release : 2020-08-31
Category : Science
ISBN : 9783030549756

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Modelling Non-Markovian Quantum Systems Using Tensor Networks by Aidan Strathearn Pdf

This thesis presents a revolutionary technique for modelling the dynamics of a quantum system that is strongly coupled to its immediate environment. This is a challenging but timely problem. In particular it is relevant for modelling decoherence in devices such as quantum information processors, and how quantum information moves between spatially separated parts of a quantum system. The key feature of this work is a novel way to represent the dynamics of general open quantum systems as tensor networks, a result which has connections with the Feynman operator calculus and process tensor approaches to quantum mechanics. The tensor network methodology developed here has proven to be extremely powerful: For many situations it may be the most efficient way of calculating open quantum dynamics. This work is abounds with new ideas and invention, and is likely to have a very significant impact on future generations of physicists.

Diversities in Quantum Computation and Quantum Information

Mikio Nakahara,Yidun Wan,Yoshitaka Sasaki
Diversities in Quantum Computation and Quantum Information Book PDF

Author : Mikio Nakahara,Yidun Wan,Yoshitaka Sasaki
Publisher : World Scientific
Page : 228 pages
File Size : 40,6 Mb
Release : 2012-09-17
Category : Science
ISBN : 9789814425995

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Diversities in Quantum Computation and Quantum Information by Mikio Nakahara,Yidun Wan,Yoshitaka Sasaki Pdf

This book is a collection of lecture notes and contributions in “Summer School on Diversities in Quantum Computation/Information” held on 1–5 August, 2010 at U-Community Hotel, Higashi-Osaka, Japan. Lecturers are world class authorities in respective areas in quantum information and quantum computing including physics, mathematics, chemistry and information science. They lectured on cutting-edge research frontiers where they are currently working, including quantum error correction, relativistic quantum information, quantum computing of link polynomials, quantum algorithms, etc. Each lecture note is written in a self-contained manner so that it may be used as a textbook for one semester graduate course or advanced undergraduate course. Contributions report current research subjects also in a self-contained manner. We believe that these articles are accessible to the readers form various disciplines. Contents:Matrix Techniques in Quantum Information Science (C-K Li)Untying Knots by NMR: Experimental Implementation of an Exponentially Fast Quantum Algorithm for Approximating the Jones Polynomial (R Marx)Quantum Algorithms for Problems in Number Theory, Algebraic Geometry, and Group Theory (W van Dam and Y Sasaki)Lecture Series on Relativistic Quantum Information (I Fuentes)Systematic Construction of Bell-Like Inequalities and Proposal of a New Type of Test (S Tanimura)Hybrid Quantum Annealing for Clustering Problems (S Tanaka)Theory of Macroscopic Quantum Tunneling in Two-Gap Superconductors: Corrections from Leggett's Modes (Y Ota, M Machida and T Koyama) Readership: Graduate students and researchers in physics, mathematics, informatics and computer science. Accessible to advanced undergraduate students. Keywords:Quantum Information;Quantum Computer;Entanglement;Non-Classical Correlation;Number Theory;Coding Theory

Quantum Structures in Cognitive and Social Science

Diederik Aerts,Jan Broekaert,Liane Gabora,Sandro Sozzo
Quantum Structures in Cognitive and Social Science Book PDF

Author : Diederik Aerts,Jan Broekaert,Liane Gabora,Sandro Sozzo
Publisher : Frontiers Media SA
Page : 170 pages
File Size : 47,5 Mb
Release : 2016-06-26
Category : Psychology
ISBN : 9782889198764

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Quantum Structures in Cognitive and Social Science by Diederik Aerts,Jan Broekaert,Liane Gabora,Sandro Sozzo Pdf

Traditional approaches to cognitive psychology correspond with a classical view of logic and probability theory. More specifically, one typically assumes that cognitive processes of human thought are founded on the Boolean structures of classical logic, while the probabilistic aspects of these processes are based on the Kolmogorovian structures of classical probability theory. However, growing experimental evidence indicates that the models founded on classical structures systematically fail when human decisions are at stake. These experimental deviations from classical behavior have been called `paradoxes’, `fallacies’, `effects’ or `contradictions’, depending on the specific situation where they appear. But, they involve a broad spectrum of cognitive and social science domains, ranging from conceptual combination to decision making under uncertainty, behavioral economics, and linguistics. This situation has constituted a serious drawback to the development of various disciplines, like cognitive science, linguistics, artificial intelligence, economic modeling and behavioral finance. A different approach to cognitive psychology, initiated two decades ago, has meanwhile matured into a new domain of research, called ‘quantum cognition’. Its main feature is the use of the mathematical formalism of quantum theory as modeling tool for these cognitive situations where traditional classically based approaches fail. Quantum cognition has recently attracted the interest of important journals and editing houses, academic and funding institutions, popular science and media. Specifically, within a quantum cognition approach, one assumes that human decisions do not necessarily obey the rules of Boolean logic and Kolmogorovian probability, and can on the contrary be modeled by the quantum-mechanical formalism. Different concrete quantum-theoretic models have meanwhile been developed that successfully represent the cognitive situations that are classically problematical, by explaining observed deviations from classicality in terms of genuine quantum effects, such as `contextuality’, `emergence’, `interference’, `superposition’, `entanglement’ and `indistinguishability’. In addition, the validity of these quantum models is convincingly confirmed by new experimental tests. We also stress that, since the use of a quantum-theoretic framework is mainly for modeling purposes, the identification of quantum structures in cognitive processes does not presuppose (without being incompatible with it) the existence of microscopic quantum processes in the human brain. In this Research Topic, we review the major achievements that have been obtained in quantum cognition, by providing an accurate picture of the state-of-the-art of this emerging discipline. Our overview does not pretend to be either complete or exhaustive. But, we aim to introduce psychologists and social scientists to this challenging new research area, encouraging them, at the same time, to consider its promising results. It is our opinion that, if continuous progress in this domain can be realized, quantum cognition can constitute an important breakthrough in cognitive psychology, and potentially open the way towards a new scientific paradigm in social science.

Understanding Quantum Phase Transitions

Lincoln Carr
Understanding Quantum Phase Transitions Book PDF

Author : Lincoln Carr
Publisher : CRC Press
Page : 756 pages
File Size : 46,9 Mb
Release : 2010-11-02
Category : Science
ISBN : 9781439802618

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Understanding Quantum Phase Transitions by Lincoln Carr Pdf

Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit

Quantum Phase Transitions in Transverse Field Models

Amit Dutta
Quantum Phase Transitions in Transverse Field Models Book PDF

Author : Amit Dutta
Publisher : Cambridge University Press
Page : 357 pages
File Size : 47,7 Mb
Release : 2015-01-28
Category : Science
ISBN : 9781107068797

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Quantum Phase Transitions in Transverse Field Models by Amit Dutta Pdf

This book establishes the fundamental connections between the physics of quantum phase transitions and the technological promise of quantum information.

Collapse of Metastability

Seiji Miyashita
Collapse of Metastability Book PDF

Author : Seiji Miyashita
Publisher : Springer Nature
Page : 260 pages
File Size : 48,8 Mb
Release : 2022-11-05
Category : Science
ISBN : 9789811966682

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Collapse of Metastability by Seiji Miyashita Pdf

To understand phenomena in nature, it is important to focus not only on properties of stationary states, but also their changes in time, that is, the dynamics between bistable states. This book reviews the mechanics of first-order phase transitions and discusses relaxation and collapses of metastable states from various viewpoints, including Kramers' method for the lifetime of metastability, Langer’s analysis on the singularity, effects of thermal fluctuation studied by Néel and Brown, and eigenvalue structures of the transfer-matrix for the phase transitions. The book also goes into the mechanics of metastability in quantum systems from the viewpoints of the eigenvalue problem of the Hamiltonian and the Liouvillian for a dynamical process and discusses relations between quantum tunneling processes and metastability therein. Lastly, the coercivity of magnets consisting of an ensemble of grains is reviewed. The book is beneficial for those new in the field as a primer on first-order phase transition from modern perspectives. The comprehensive content offers overviews of related topics and allows readers to quickly catch up with developments in the field.