Graph Theory Adiabatic Quantum Computing Methods

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Graph Theory: Adiabatic Quantum Computing Methods

Author : N.B. Singh
Publisher : N.B. Singh
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4./5 ( download)

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Book Synopsis Graph Theory: Adiabatic Quantum Computing Methods by : N.B. Singh

Download or read book Graph Theory: Adiabatic Quantum Computing Methods written by N.B. Singh and published by N.B. Singh. This book was released on with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Graph Theory: Adiabatic Quantum Computing Methods" explores the convergence of quantum computing and graph theory, offering a comprehensive examination of how quantum algorithms can tackle fundamental graph problems. From foundational concepts to advanced applications in fields like cryptography, machine learning, and network analysis, this book provides a clear pathway into the evolving landscape of quantum-enhanced graph algorithms. Designed for researchers, students, and professionals alike, it bridges theoretical insights with practical implementations, paving the way for innovative solutions in computational graph theory.

Adiabatic Quantum Computation and Quantum Annealing

Author : Catherine C. McGeoch
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627053360
Total Pages : 95 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis Adiabatic Quantum Computation and Quantum Annealing by : Catherine C. McGeoch

Download or read book Adiabatic Quantum Computation and Quantum Annealing written by Catherine C. McGeoch and published by Morgan & Claypool Publishers. This book was released on 2014-07-01 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Approximability of Optimization Problems through Adiabatic Quantum Computation

Author : William Cruz-Santos
Publisher : Springer Nature
ISBN 13 : 3031025199
Total Pages : 105 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Approximability of Optimization Problems through Adiabatic Quantum Computation by : William Cruz-Santos

Download or read book Approximability of Optimization Problems through Adiabatic Quantum Computation written by William Cruz-Santos and published by Springer Nature. This book was released on 2022-05-31 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: The adiabatic quantum computation (AQC) is based on the adiabatic theorem to approximate solutions of the Schrödinger equation. The design of an AQC algorithm involves the construction of a Hamiltonian that describes the behavior of the quantum system. This Hamiltonian is expressed as a linear interpolation of an initial Hamiltonian whose ground state is easy to compute, and a final Hamiltonian whose ground state corresponds to the solution of a given combinatorial optimization problem. The adiabatic theorem asserts that if the time evolution of a quantum system described by a Hamiltonian is large enough, then the system remains close to its ground state. An AQC algorithm uses the adiabatic theorem to approximate the ground state of the final Hamiltonian that corresponds to the solution of the given optimization problem. In this book, we investigate the computational simulation of AQC algorithms applied to the MAX-SAT problem. A symbolic analysis of the AQC solution is given in order to understand the involved computational complexity of AQC algorithms. This approach can be extended to other combinatorial optimization problems and can be used for the classical simulation of an AQC algorithm where a Hamiltonian problem is constructed. This construction requires the computation of a sparse matrix of dimension 2n × 2n, by means of tensor products, where n is the dimension of the quantum system. Also, a general scheme to design AQC algorithms is proposed, based on a natural correspondence between optimization Boolean variables and quantum bits. Combinatorial graph problems are in correspondence with pseudo-Boolean maps that are reduced in polynomial time to quadratic maps. Finally, the relation among NP-hard problems is investigated, as well as its logical representability, and is applied to the design of AQC algorithms. It is shown that every monadic second-order logic (MSOL) expression has associated pseudo-Boolean maps that can be obtained by expanding the given expression, and also can be reduced to quadratic forms. Table of Contents: Preface / Acknowledgments / Introduction / Approximability of NP-hard Problems / Adiabatic Quantum Computing / Efficient Hamiltonian Construction / AQC for Pseudo-Boolean Optimization / A General Strategy to Solve NP-Hard Problems / Conclusions / Bibliography / Authors' Biographies

Quantum Computing

Author : N.B. Singh
Publisher : N.B. Singh
ISBN 13 :
Total Pages : 686 pages
Book Rating : 4./5 ( download)

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Book Synopsis Quantum Computing by : N.B. Singh

Download or read book Quantum Computing written by N.B. Singh and published by N.B. Singh. This book was released on with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Quantum Computing" is a comprehensive and accessible exploration of one of the most exciting and rapidly evolving fields in modern science. Written with both beginners and advanced enthusiasts in mind, this book offers a captivating journey through the world of quantum computing without the need for complex mathematical formulas. With 50 engaging chapters covering a wide range of topics, readers will discover the fascinating principles behind quantum mechanics and how they are harnessed to revolutionize computing, cryptography, telecommunications, and even our understanding of consciousness and the universe itself. From the basics of qubits and superposition to advanced applications like quantum cryptography and artificial intelligence, this book presents complex concepts in a clear and easy-to-understand manner, making it suitable for readers of all backgrounds. Whether you're a curious novice or a seasoned quantum enthusiast, "Quantum Computing" offers a captivating glimpse into the extraordinary possibilities of the quantum world.

Graph Theory: Quantum Walk

Author : N.B. Singh
Publisher : N.B. Singh
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4./5 ( download)

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Book Synopsis Graph Theory: Quantum Walk by : N.B. Singh

Download or read book Graph Theory: Quantum Walk written by N.B. Singh and published by N.B. Singh. This book was released on with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Graph Theory: Quantum Walk" explores how quantum computing enhances our understanding and applications of graphs. From basic principles to advanced algorithms, the book shows how quantum mechanics revolutionizes computation in graph theory. Whether you're a student, researcher, or enthusiast, discover the exciting potential where quantum principles meet graph theory, offering new insights and computational strategies in this dynamic field.

Energy Minimization Methods in Computer Vision and Pattern Recognition

Author : Marcello Pelillo
Publisher : Springer
ISBN 13 : 3319781995
Total Pages : 582 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Energy Minimization Methods in Computer Vision and Pattern Recognition by : Marcello Pelillo

Download or read book Energy Minimization Methods in Computer Vision and Pattern Recognition written by Marcello Pelillo and published by Springer. This book was released on 2018-03-23 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 11th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2017, held in Venice, Italy, in October/November 2017. The 37 revised full papers were carefully reviewed and selected from 51 submissions. The papers are organized in topical sections on Clustering and Quantum Methods; Motion and Tracking; Image Processing and Segmentation; Color, Shading and Reflectance of Light; Propagation and Time-evolution; and Inference, Labeling, and Relaxation.

Principles and Methods of Quantum Information Technologies

Author : Yoshihisa Yamamoto
Publisher : Springer
ISBN 13 : 4431557563
Total Pages : 624 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Principles and Methods of Quantum Information Technologies by : Yoshihisa Yamamoto

Download or read book Principles and Methods of Quantum Information Technologies written by Yoshihisa Yamamoto and published by Springer. This book was released on 2015-12-30 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the research and development-related results of the “FIRST” Quantum Information Processing Project, which was conducted from 2010 to 2014 with the support of the Council for Science, Technology and Innovation of the Cabinet Office of the Government of Japan. The project supported 33 research groups and explored five areas: quantum communication, quantum metrology and sensing, coherent computing, quantum simulation, and quantum computing. The book is divided into seven main sections. Parts I through V, which consist of twenty chapters, focus on the system and architectural aspects of quantum information technologies, while Parts VI and VII, which consist of eight chapters, discuss the superconducting quantum circuit, semiconductor spin and molecular spin technologies. Readers will be introduced to new quantum computing schemes such as quantum annealing machines and coherent Ising machines, which have now arisen as alternatives to standard quantum computers and are designed to successfully address NP-hard/NP-complete combinatorial optimization problems, which are ubiquitous and relevant in our modern life. The book offers a balanced mix of theory-based and experimentation-based chapters written by leading researchers. Extensive information is provided on Quantum simulation, which focuses on the implementation of various many-body Hamiltonians in a well-controlled physical system, Quantum key distribution, Quantum repeaters and quantum teleportation, which are indispensable technologies for building quantum networks with various advanced applications and require far more sophisticated experimental techniques to implement.

Horizons of the Mind. A Tribute to Prakash Panangaden

Author : Franck van Breugel
Publisher : Springer
ISBN 13 : 3319068806
Total Pages : 499 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Horizons of the Mind. A Tribute to Prakash Panangaden by : Franck van Breugel

Download or read book Horizons of the Mind. A Tribute to Prakash Panangaden written by Franck van Breugel and published by Springer. This book was released on 2014-05-23 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume contains papers presented at a conference, Prakash Fest, held in honor of Prakash Panangaden, in Oxford, UK, in May 2014, to celebrate his 60th birthday. Prakash Panangaden has worked on a large variety of topics including probabilistic and concurrent computation, logics and duality and quantum information and computation. Despite the enormous breadth of his research, he has made significant and deep contributions. For example, he introduced logic and a real-valued interpretation of the logic to capture equivalence of probabilistic processes quantitatively. The 25 papers included in this volume were carefully reviewed. They cover a large variety of topics in theoretical computer science.

Reversible Computation

Author : Ivan Lanese
Publisher : Springer Nature
ISBN 13 : 3030524825
Total Pages : 287 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Reversible Computation by : Ivan Lanese

Download or read book Reversible Computation written by Ivan Lanese and published by Springer Nature. This book was released on 2020-07-08 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Reversible Computation, RC 2020, held in Oslo, Norway, in July 2020. The 17 full papers included in this volume were carefully reviewed and selected from 22 submissions. The papers are organized in the following topical sections: theory and foundation; programming languages; circuit synthesis; evaluation of circuit synthesis; and applications and implementations.

Adiabatic Quantum Computation and Quantum Annealing

Author : Catherine C. McGeoch
Publisher : Springer Nature
ISBN 13 : 3031025180
Total Pages : 83 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Adiabatic Quantum Computation and Quantum Annealing by : Catherine C. McGeoch

Download or read book Adiabatic Quantum Computation and Quantum Annealing written by Catherine C. McGeoch and published by Springer Nature. This book was released on 2022-06-01 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Table of Contents: Acknowledgments / Introduction / Adiabatic Quantum Computation / Quantum Annealing / The D-Wave Platform / Computational Experience / Bibliography / Author's Biography

Quantum Computing and Information

Author : Dr. Peter Y. Lee
Publisher : Polaris QCI Publishing
ISBN 13 : 1961880024
Total Pages : 508 pages
Book Rating : 4.9/5 (618 download)

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Book Synopsis Quantum Computing and Information by : Dr. Peter Y. Lee

Download or read book Quantum Computing and Information written by Dr. Peter Y. Lee and published by Polaris QCI Publishing. This book was released on 2024-03-14 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlock the Potential of Quantum Computing This expertly crafted guide demystifies the complexities of quantum computing through a progressive teaching method, making it accessible to students and newcomers alike. Features Explores quantum systems, gates and circuits, entanglement, algorithms, and more. Unique 'scaffolding approach' for easy understanding. Ideal for educators, students, and self-learners. Authors Dr. Peter Y. Lee (Ph.D., Princeton University) – Expert in quantum nanostructures, extensive teaching experience. Dr. Huiwen Ji (Ph.D., Princeton University) – Solid background in quantum chemistry, award-winning researcher. Dr. Ran Cheng (Ph.D., University of Texas at Austin) – Specializes in condensed matter theory, award-winning physicist.

Quantum Spin Glasses, Annealing and Computation

Author : Shu Tanaka
Publisher : Cambridge University Press
ISBN 13 : 1107113199
Total Pages : 423 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Quantum Spin Glasses, Annealing and Computation by : Shu Tanaka

Download or read book Quantum Spin Glasses, Annealing and Computation written by Shu Tanaka and published by Cambridge University Press. This book was released on 2017-05-04 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Discusses the recent developments in quantum statistical physics of spin glasses and quantum computations"--Provided by publisher.

Theory and Practice of Natural Computing

Author : Carlos Martín-Vide
Publisher : Springer
ISBN 13 : 331949001X
Total Pages : 221 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Theory and Practice of Natural Computing by : Carlos Martín-Vide

Download or read book Theory and Practice of Natural Computing written by Carlos Martín-Vide and published by Springer. This book was released on 2016-11-21 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Theory and Practice of Natural Computing, TPNC 2016, held in Sendai, Japan, in December 2016. The 16 revised full papers presented together with one invited talk in this book were carefully reviewed and selected from 33 submissions. The papers are grouped in topical sections on applications of natural computing, evolutionary computation, formal models, and machine learning.

Reversible Computation

Author : Gerhard W. Dueck
Publisher : Springer
ISBN 13 : 3642389864
Total Pages : 273 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Reversible Computation by : Gerhard W. Dueck

Download or read book Reversible Computation written by Gerhard W. Dueck and published by Springer. This book was released on 2013-06-29 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Reversible Computation, RC 2013, held in Victoria, BC, Canada, in July 2013. The 19 contributions presented together with one invited paper were carefully reviewed and selected from 37 submissions. The papers are organized in topical sections on physical implementation; arithmetic; programming and data structures; modelling; synthesis and optimization; and alternative technologies.

Theory and Practice of Natural Computing

Author : David Fagan
Publisher : Springer
ISBN 13 : 3030040704
Total Pages : 478 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Theory and Practice of Natural Computing by : David Fagan

Download or read book Theory and Practice of Natural Computing written by David Fagan and published by Springer. This book was released on 2018-12-05 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Theory and Practice of Natural Computing, TPNC 2017, held in Dublin, Ireland, in December 2018. The 35 full papers presented in this book, together with one invited talk, were carefully reviewed and selected from 69 submissions. The papers are organized around the following topical sections: applications of natural computing as algorithms, bioinformatics, control, cryptography, design, economics. The more theoretical contributions handle with artificial chemistry, artificial immune systems, artificial life, cellular automata, cognitive computing, cognitive engineering, cognitive robotics, collective behaviour, complex systems, computational intelligence, computational social science, computing with words, developmental systems, DNA computing, DNA nanotechnology, evolutionary algorithms, evolutionary computing, evolutionary game theory, fractal geometry, fuzzy control, fuzzy logic, fuzzy sets, fuzzy systems, genetic algorithms, genetic programming, granular computing, heuristics, intelligent agents, intelligent systems, machine intelligence, molecular programming, neural computing, neural networks, quantum communication, quantum computing, rough sets, self-assembly.

High Performance Computing

Author : Ponnuswamy Sadayappan
Publisher : Springer Nature
ISBN 13 : 3030507432
Total Pages : 564 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis High Performance Computing by : Ponnuswamy Sadayappan

Download or read book High Performance Computing written by Ponnuswamy Sadayappan and published by Springer Nature. This book was released on 2020-06-15 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 35th International Conference on High Performance Computing, ISC High Performance 2020, held in Frankfurt/Main, Germany, in June 2020.* The 27 revised full papers presented were carefully reviewed and selected from 87 submissions. The papers cover a broad range of topics such as architectures, networks & infrastructure; artificial intelligence and machine learning; data, storage & visualization; emerging technologies; HPC algorithms; HPC applications; performance modeling & measurement; programming models & systems software. *The conference was held virtually due to the COVID-19 pandemic. Chapters "Scalable Hierarchical Aggregation and Reduction Protocol (SHARP) Streaming-Aggregation Hardware Design and Evaluation", "Solving Acoustic Boundary Integral Equations Using High Performance Tile Low-Rank LU Factorization", "Scaling Genomics Data Processing with Memory-Driven Computing to Accelerate Computational Biology", "Footprint-Aware Power Capping for Hybrid Memory Based Systems", and "Pattern-Aware Staging for Hybrid Memory Systems" are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Integration of Constraint Programming, Artificial Intelligence, and Operations Research

Author : Emmanuel Hebrard
Publisher : Springer Nature
ISBN 13 : 3030589420
Total Pages : 559 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Integration of Constraint Programming, Artificial Intelligence, and Operations Research by : Emmanuel Hebrard

Download or read book Integration of Constraint Programming, Artificial Intelligence, and Operations Research written by Emmanuel Hebrard and published by Springer Nature. This book was released on 2020-09-18 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume LNCS 12296 constitutes the papers of the 17th International Conference on the Integration of Constraint Programming, Artificial Intelligence, and Operations Research which will be held online in September 2020. The 32 regular papers presented together with 4 abstracts of fast-track papers were carefully reviewed and selected from a total of 72 submissions. Additionally, this volume includes the 4 abstracts and 2 invited papers by plenary speakers. The conference program also included a Master Class on the topic “Recent Advances in Optimization Paradigms and Solving Technology"