71 to 80 of 1,107 results for **Quantum computing**

Quantum Computation and Quantum Information (Cambridge Series on Information and the Natural Sciences)

$106.00

In this first comprehensive introduction to the main ideas and techniques of quantum computation and information, Michael Nielsen and Isaac Chuang ask the question: What are the ultimate physical limits to computation and communication? They detail such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error correction. A wealth of accompanying figures and exercises illustrate and develop the material in more depth. They describe what a quantum computer is, how it can be used to solve problems faster than familiar "classical" computers, and the real-world implementation of quantum computers. Their book concludes with an explanation of how quantum states can be used to perform remarkable feats of communication, and of how it is possible to protect quantum states against the effects of noise.Quantum Mechanics, Sixth Edition

$88.00

*A Thorough Update of One of the Most Highly Regarded Textbooks on Quantum Mechanics*

Continuing to offer an exceptionally clear, up-to-date treatment of the subject, **Quantum Mechanics, Sixth Edition** explains the concepts of quantum mechanics for undergraduate students in physics and related disciplines and provides the foundation necessary for other specialized courses. This sixth edition builds on its highly praised predecessors to make the text even more accessible to a wider audience. It is now divided into five parts that separately cover broad topics suitable for any general course on quantum mechanics.

**New to the Sixth Edition**

- Three chapters that review prerequisite physics and mathematics, laying out the notation, formalism, and physical basis necessary for the rest of the book
- Short descriptions of numerous applications relevant to the physics discussed, giving students a brief look at what quantum mechanics has made possible industrially and scientifically
- Additional end-of-chapter problems with different ranges of difficulty

This exemplary text shows students how cutting-edge theoretical topics are applied to a variety of areas, from elementary atomic physics and mathematics to angular momentum and time dependence to relativity and quantum computing. Many examples and exercises illustrate the principles and test studentsâ€™ understanding.

Quantum Chance: Nonlocality, Teleportation and Other Quantum Marvels

This amazing 'non-locality' is more than just an abstractÂ curiosity or paradox: it has entirely down-to-earth applications in cryptography, serving for exampleÂ to protect financial information; it also has enabled the demonstration of 'quantum teleportation', whose infinite possibilities even science-fiction writers can scarcely imagine.

This delightful and conciseÂ exposition does notÂ avoid theÂ deep logical difficulties of quantum physics, but gives the reader the insights needed to appreciate them. From 'Bell's Theorem' to experiments in quantum entanglement, the reader will gain aÂ solid understanding of one of the most fascinating areas of contemporary physics.

$19.99

Quantum physics, which offers an explanation of the world onÂ the smallestÂ scale, has fundamental implications that pose a serious challenge to ordinary logic. Particularly counterintuitive is the notion of entanglement, which has been explored for the past 30 years and posits an ubiquitous randomness capable of manifesting itself simultaneously in more than one place.This amazing 'non-locality' is more than just an abstractÂ curiosity or paradox: it has entirely down-to-earth applications in cryptography, serving for exampleÂ to protect financial information; it also has enabled the demonstration of 'quantum teleportation', whose infinite possibilities even science-fiction writers can scarcely imagine.

This delightful and conciseÂ exposition does notÂ avoid theÂ deep logical difficulties of quantum physics, but gives the reader the insights needed to appreciate them. From 'Bell's Theorem' to experiments in quantum entanglement, the reader will gain aÂ solid understanding of one of the most fascinating areas of contemporary physics.

Introduction to Information Retrieval and Quantum Mechanics (The Information Retrieval Series)

$109.00

This book introduces the quantum mechanical framework to information retrieval scientists seeking a new perspective on foundational problems. As such, it concentrates on the main notions of the quantum mechanical framework and describes an innovative range of concepts and tools for modeling information representation and retrieval processes.

The book is divided into four chapters. Chapter 1 illustrates the main modeling concepts for information retrieval (including Boolean logic, vector spaces, probabilistic models, and machine-learning based approaches), which will be examined further in subsequent chapters. Next, chapter 2 briefly explains the main concepts of the quantum mechanical framework, focusing on approaches linked to information retrieval such as interference, superposition and entanglement. Chapter 3 then reviews the research conducted at the intersection between information retrieval and the quantum mechanical framework. The chapter is subdivided into a number of topics, and each description ends with a section suggesting the most important reference resources. Lastly, chapter 4 offers suggestions for future research, briefly outlining the most essential and promising research directions to fully leverage the quantum mechanical framework for effective and efficient information retrieval systems. Â

This book is especially intended for researchers working in information retrieval, database systems and machine learning who want to acquire a clear picture of the potential offered by the quantum mechanical framework in their own research area. Above all, the book offers clear guidance on whether, why and when to effectively use the mathematical formalism and the concepts of the quantum mechanical framework to address various foundational issues in information retrieval.

Adiabatic Quantum Computation and Quantum Annealing: Theory and Practice (Synthesis Lectures on Quantum Computing)

$45.00

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.Approaching Quantum Computing

$177.20

** ** With a clear writing style and matter-of-fact approach, this rigorous yet accessible introduction to quantum computing is designed for readers with a solid mathematical background but limited knowledge of physics and quantum mechanics. Using a methodical approach and an abundance of worked examples, this handbook delivers a thorough introduction to the quantum circuit model, including the mathematical formalism required for quantum computing. ** ** Concentrates on the quantum circuit model to make complex subject matter more accessible. Provides a phenomenological introduction to quantum computing, encouraging readers to view the subject as a fundamentally new approach to computing. Detailed presentation of quantum algorithms demonstrates the logic behind the development of Deutschâ€™s problem, quantum Fourier transform, Shorâ€™s factoring algorithm, Simonâ€™s algorithm for phase estimation, and discrete logarithms evaluation problems. ** ** For anyone interested in learning more about quantum computing.

Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers: Mathematical Methods and Conceptual Foundations (UNITEXT for Physics)

$69.99

This book is designed to make accessible to nonspecialists the still evolving concepts of quantum mechanics and the terminology in which these are expressed. The opening chapters summarize elementary concepts of twentieth century quantum mechanics and describe the mathematical methods employed in the field, with clear explanation of, for example, Hilbert space, complex variables, complex vector spaces and Dirac notation, and the Heisenberg uncertainty principle. After detailed discussion of the SchrÃ¶dinger equation, subsequent chapters focus on isotropic vectors, used to construct spinors, and on conceptual problems associated with measurement, superposition, and decoherence in quantum systems. Here, due attention is paid to Bellâ€™s inequality and the possible existence of hidden variables. Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result. This book will be of interest to a wide readership seeking to understand modern quantum mechanics and its potential applications.Approximability of Optimization Problems through Adiabatic Quantum Computation (Synthesis Lectures on Quantum Computing)

$40.00

The adiabatic quantum computation (AQC) is based on the adiabatic theorem to approximate solutions of the Schrodinger 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 Ã— 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

Introduction to Topological Quantum Matter & Quantum Computation

$89.95

What is "topological" about topological quantum states? How many types of topological quantum phases are there? What is a zero-energy Majorana mode, how can it be realized in a solid state system, and how can it be used as a platform for topological quantum computation? What is quantum computation and what makes it different from classical computation?

Addressing these and other related questions,** Introduction to Topological Quantum Matter & Quantum Computation** provides an introduction to and a synthesis of a fascinating and rapidly expanding research field emerging at the crossroads of condensed matter physics, mathematics, and computer science. Providing the big picture, this book is ideal for graduate students and researchers entering this field as it allows for the fruitful transfer of paradigms and ideas amongst different areas, and includes many specific examples to help the reader understand abstract and sometimes challenging concepts. It explores the topological quantum world beyond the well-known topological insulators and superconductors and emphasizes the deep connections with quantum computation. It addresses key principles behind the classification of topological quantum phases and relevant mathematical concepts and discusses models of interacting and noninteracting topological systems, such as the torric code and the p-wave superconductor. The book also covers the basic properties of anyons, and aspects concerning the realization of topological states in solid state structures and cold atom systems.

Quantum computation is also presented using a broad perspective, which includes fundamental aspects of quantum mechanics, such as Bell's theorem, basic concepts in the theory of computation, such as computational models and computational complexity, examples of quantum algorithms, and elements of classical and quantum information theory.

The Feynman Processor : Quantum Entanglement and the Computing Revolution (Helix Books Series)

$16.00

Quantum computing, the reduction of computing elements to sizes far smaller than that of present-day chips, down to the size of individual atoms, presents new problems, problems on the quantum level. But thanks to new discoveries by Gerard Milburn and other cutting-edge scientists, quantum computing is about to become a reality.In this book, the first one for the general public to explain the scientific ideas behind concepts seen before only in science fiction, physicist Milburn brings us the exciting world of phenomena of entanglement, where particles can be in two places at the same time, where matter on the quantum level can be teleported Ã la Star Trek's famous Transporter; and where cryptographers can construct fundamentally unbreakable computer codes.Although other books and magazine articles have dealt with some of the subjects in this book, this is the first book for the layman to deal specifically with quantum computing, an area pioneered by the great physicist Richard Feynman, who first posed the challenge to scientists to devise the smallest, fastest computer elements, to take us to the absolute physical limits of computers. This book promises to both astound and educate every reader eager to keep abreast of the latest breakthroughs in physics and computers.

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