Adiabatic Quantum Computation And Quantum Annealing
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Adiabatic Quantum Computation And Quantum Annealing
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Author : Catherine C. McGeoch
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Adiabatic Quantum Computation And Quantum Annealing written by Catherine C. McGeoch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.
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
Approximability Of Optimization Problems Through Adiabatic Quantum Computation
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Author : William Cruz-Santos
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2014-09-01
Approximability Of Optimization Problems Through Adiabatic Quantum Computation written by William Cruz-Santos and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with Science categories.
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 Information And Quantum Computing For Chemical Systems
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Author : Sabre Kais
language : en
Publisher: Frontiers Media SA
Release Date : 2021-10-20
Quantum Information And Quantum Computing For Chemical Systems written by Sabre Kais and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-20 with Science categories.
Combinatorial Optimization Problems Quantum Computing
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Combinatorial Optimization Problems Quantum Computing written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.
"Combinatorial Optimization Problems: Quantum Computing" is an introductory guide that bridges the gap between combinatorial optimization and quantum computing for absolute beginners. This book unpacks fundamental concepts in optimization and explores how quantum computing can revolutionize the way we approach complex problems. Through clear explanations and relatable examples, readers will gain an understanding of both fields without needing any prior knowledge of quantum mechanics or advanced mathematics. Ideal for those curious about the future of technology, this book serves as a stepping stone into the fascinating world of quantum algorithms and their applications in optimization.
Quantum Spin Glasses Annealing And Computation
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Author : Shu Tanaka
language : en
Publisher: Cambridge University Press
Release Date : 2017-05-04
Quantum Spin Glasses Annealing And Computation written by Shu Tanaka and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-04 with Computers categories.
"Discusses the recent developments in quantum statistical physics of spin glasses and quantum computations"--Provided by publisher.
Quantum Information Processing Quantum Computing And Quantum Error Correction
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Author : Ivan B. Djordjevic
language : en
Publisher: Academic Press
Release Date : 2021-02-20
Quantum Information Processing Quantum Computing And Quantum Error Correction written by Ivan B. Djordjevic and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-20 with Science categories.
The Second Edition of Quantum Information Processing, Quantum Computing, and Quantum Error Correction: An Engineering Approach presents a self-contained introduction to all aspects of the area, teaching the essentials such as state vectors, operators, density operators, measurements, and dynamics of a quantum system. In additional to the fundamental principles of quantum computation, basic quantum gates, basic quantum algorithms, and quantum information processing, this edition has been brought fully up to date, outlining the latest research trends. These include: Key topics include: - Quantum error correction codes (QECCs), including stabilizer codes, Calderbank-Shor-Steane (CSS) codes, quantum low-density parity-check (LDPC) codes, entanglement-assisted QECCs, topological codes, and surface codes - Quantum information theory, and quantum key distribution (QKD) - Fault-tolerant information processing and fault-tolerant quantum error correction, together with a chapter on quantum machine learning. Both quantum circuits- and measurement-based quantum computational models are described - The next part of the book is spent investigating physical realizations of quantum computers, encoders and decoders; including photonic quantum realization, cavity quantum electrodynamics, and ion traps - In-depth analysis of the design and realization of a quantum information processing and quantum error correction circuits This fully up-to-date new edition will be of use to engineers, computer scientists, optical engineers, physicists and mathematicians. - A self-contained introduction to quantum information processing, and quantum error correction - Integrates quantum information processing, quantum computing, and quantum error correction - Describes the latest trends in the quantum information processing, quantum error correction and quantum computing - Presents the basic concepts of quantum mechanics - In-depth presentation of the design and realization of a quantum information processing and quantum error correction circuit
Quantum Computing
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Author : National Academies of Sciences, Engineering, and Medicine
language : en
Publisher: National Academies Press
Release Date : 2019-03-27
Quantum Computing written by National Academies of Sciences, Engineering, and Medicine and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-27 with Computers categories.
Quantum mechanics, the subfield of physics that describes the behavior of very small (quantum) particles, provides the basis for a new paradigm of computing. First proposed in the 1980s as a way to improve computational modeling of quantum systems, the field of quantum computing has recently garnered significant attention due to progress in building small-scale devices. However, significant technical advances will be required before a large-scale, practical quantum computer can be achieved. Quantum Computing: Progress and Prospects provides an introduction to the field, including the unique characteristics and constraints of the technology, and assesses the feasibility and implications of creating a functional quantum computer capable of addressing real-world problems. This report considers hardware and software requirements, quantum algorithms, drivers of advances in quantum computing and quantum devices, benchmarks associated with relevant use cases, the time and resources required, and how to assess the probability of success.
Quantum Computing And Quantum Bits In Mesoscopic Systems
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Author : Anthony Leggett
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Computing And Quantum Bits In Mesoscopic Systems written by Anthony Leggett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Quantum information science is a new field of science and technology which requires the collaboration of researchers coming from different fields of physics, mathematics, and engineering: both theoretical and applied. Quantum Computing and Quantum Bits in Mesoscopic Systems addresses fundamental aspects of quantum physics, enhancing the connection between the quantum behavior of macroscopic systems and information theory. In addition to theoretical quantum physics, the book comprehensively explores practical implementation of quantum computing and information processing devices. On the experimental side, this book reports on recent and previous observations of quantum behavior in several physical systems, coherently coupled Bose-Einstein condensates, quantum dots, superconducting quantum interference devices, Cooper pair boxes, and electron pumps in the context of the Josephson effect. In these systems, the book discusses all required steps, from fabrication through characterization to the final basic implementation for quantum computing.
Fundamentals Of Quantum Computing
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Author : Venkateswaran Kasirajan
language : en
Publisher:
Release Date : 2021
Fundamentals Of Quantum Computing written by Venkateswaran Kasirajan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Quantum Information And Quantum Optics With Superconducting Circuits
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Author : Juan José García Ripoll
language : en
Publisher: Cambridge University Press
Release Date : 2022-08-18
Quantum Information And Quantum Optics With Superconducting Circuits written by Juan José García Ripoll and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-18 with Science categories.
Superconducting quantum circuits are among the most promising solutions for the development of scalable quantum computers. Built with sizes that range from microns to tens of metres using superconducting fabrication techniques and microwave technology, superconducting circuits demonstrate distinctive quantum properties such as superposition and entanglement at cryogenic temperatures. This book provides a comprehensive and self-contained introduction to the world of superconducting quantum circuits, and how they are used in current quantum technology. Beginning with a description of their basic superconducting properties, the author then explores their use in quantum systems, showing how they can emulate individual photons and atoms, and ultimately behave as qubits within highly connected quantum systems. Particular attention is paid to cutting-edge applications of these superconducting circuits in quantum computing and quantum simulation. Written for graduate students and junior researchers, this accessible text includes numerous homework problems and worked examples.