Physical Implementation Of Quantum Walks
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Physical Implementation Of Quantum Walks
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Author : Kia Manouchehri
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-23
Physical Implementation Of Quantum Walks written by Kia Manouchehri 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 2013-08-23 with Computers categories.
Given the extensive application of random walks in virtually every science related discipline, we may be at the threshold of yet another problem solving paradigm with the advent of quantum walks. Over the past decade, quantum walks have been explored for their non-intuitive dynamics, which may hold the key to radically new quantum algorithms. This growing interest has been paralleled by a flurry of research into how one can implement quantum walks in laboratories. This book presents numerous proposals as well as actual experiments for such a physical realization, underpinned by a wide range of quantum, classical and hybrid technologies.
Quantum Walks And Search Algorithms
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Author : Renato Portugal
language : en
Publisher: Springer
Release Date : 2018-08-20
Quantum Walks And Search Algorithms written by Renato Portugal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-20 with Science categories.
The revised edition of this book offers an extended overview of quantum walks and explains their role in building quantum algorithms, in particular search algorithms. Updated throughout, the book focuses on core topics including Grover's algorithm and the most important quantum walk models, such as the coined, continuous-time, and Szedgedy's quantum walk models. There is a new chapter describing the staggered quantum walk model. The chapter on spatial search algorithms has been rewritten to offer a more comprehensive approach and a new chapter describing the element distinctness algorithm has been added. There is a new appendix on graph theory highlighting the importance of graph theory to quantum walks. As before, the reader will benefit from the pedagogical elements of the book, which include exercises and references to deepen the reader's understanding, and guidelines for the use of computer programs to simulate the evolution of quantum walks. Review of the first edition: “The book is nicely written, the concepts are introduced naturally, and many meaningful connections between them are highlighted. The author proposes a series of exercises that help the reader get some working experience with the presented concepts, facilitating a better understanding. Each chapter ends with a discussion of further references, pointing the reader to major results on the topics presented in the respective chapter.” - Florin Manea, zbMATH.
Search Algorithms And Applications
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Author : Nashat Mansour
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-04-26
Search Algorithms And Applications written by Nashat Mansour and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-26 with Computers categories.
Search algorithms aim to find solutions or objects with specified properties and constraints in a large solution search space or among a collection of objects. A solution can be a set of value assignments to variables that will satisfy the constraints or a sub-structure of a given discrete structure. In addition, there are search algorithms, mostly probabilistic, that are designed for the prospective quantum computer. This book demonstrates the wide applicability of search algorithms for the purpose of developing useful and practical solutions to problems that arise in a variety of problem domains. Although it is targeted to a wide group of readers: researchers, graduate students, and practitioners, it does not offer an exhaustive coverage of search algorithms and applications. The chapters are organized into three parts: Population-based and quantum search algorithms, Search algorithms for image and video processing, and Search algorithms for engineering applications.
Quantum Walks For Computer Scientists
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Author : Salvador Elías Venegas-Andraca
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2008
Quantum Walks For Computer Scientists written by Salvador Elías Venegas-Andraca 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 2008 with Computers categories.
"Quantum computation, one of the latest joint ventures between physics and the theory of computation, is a scientific field whose main goals include the development of hardware and algorithms based on the quantum mechanical properties of those physical systems used to implement such algorithms." "Solving difficult tasks (for example, the Satisfiability Problem and other NP-complete problems) requires the development of sophisticated algorithms, many of which employ stochastic processes as their mathematical basis. Discrete random walks are a popular choice among those stochastic processes." "Inspired on the success of discrete random walks in algorithm development, quantum walks, an emerging field of quantum computation, is a generalization of random walks into the quantum mechanical world." "The purpose of this lecture is to provide a concise yet comprehensive introduction to quantum walks."--BOOK JACKET.
Experimental Aspects Of Quantum Computing
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Author : Henry O. Everitt
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-03
Experimental Aspects Of Quantum Computing written by Henry O. Everitt 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 2007-04-03 with Science categories.
Practical quantum computing still seems more than a decade away, and researchers have not even identified what the best physical implementation of a quantum bit will be. There is a real need in the scientific literature for a dialogue on the topic of lessons learned and looming roadblocks. This reprint from Quantum Information Processing is dedicated to the experimental aspects of quantum computing and includes articles that 1) highlight the lessons learned over the last 10 years, and 2) outline the challenges over the next 10 years. The special issue includes a series of invited articles that discuss the most promising physical implementations of quantum computing. The invited articles were to draw grand conclusions about the past and speculate about the future, not just report results from the present.
Quantum Walks
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Author : Kia Manouchehri
language : en
Publisher:
Release Date : 2010
Quantum Walks written by Kia Manouchehri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Quantum groups categories.
In this thesis we present a theoretical study of quantum walks, with a particular focus on the development of viable schemes concerned with their physical realization. Ever since their introduction over a decade ago, quantum walks have been extensively explored for their non-intuitive dynamics which may hold the key to a new generation of quantum algorithms. This growing interest in the theoretical applications of quantum walks has been paralleled by a flurry of research into a more practical problem: how does one physically implement a quantum walk in the laboratory? We begin this thesis by first presenting an overview of the quantum walk theory, including some of its algorithmic applications. This is then followed by a comprehensive survey of numerous proposals for a physical implementation of quantum walks, underpinned by a wide range of quantum, classical and hybrid technologies. This review consequently highlights what has so far remained a major challenge for the quantum walk enthusiasts; a physical realization that is experimentally viable whilst remaining readily scalable and not limited to problems with specific connectivity criteria. It is precisely this challenge that we seek to examine in the remaining parts of this thesis. To this end we first show that any physical implementation of a continuous-time quantum walk must adopt a discretized position space, otherwise the rich dynamics of the quantum walk are reduced to the simple quantum evolution of a particle in free space. We then describe a solid state approach for implementing a coined iii quantum walk on a line where, the quantum walker, an electron, hops from site to site in an array of quantum dots, prompted by a series of control lasers. Finally we introduce a universal framework for implementing general quantum walks on arbitrarily complex graphs. We demonstrate the utility of this universal scheme by providing a detailed description of one specific design based on the spin-dependant transport of a Bose Einstein Condensate (BEC) trapped in a 2D optical lattice, driven by a sequence of control lasers. iv.
Mastering Quantum Computing
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Author : Cybellium
language : en
Publisher: Cybellium Ltd
Release Date :
Mastering Quantum Computing written by Cybellium and has been published by Cybellium Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.
Embark on a Journey into the Quantum Frontier with "Mastering Quantum Computing" In the realm of cutting-edge technology, quantum computing stands as a revolutionary frontier that promises to transform the world of computation and problem-solving. Quantum computers harness the power of quantum mechanics to tackle complex calculations that are beyond the reach of classical computers. "Mastering Quantum Computing" is your comprehensive guide to unlocking the potential of quantum computation, providing you with the knowledge, skills, and strategies to navigate this exciting and rapidly evolving field. Your Path to Quantum Computing Excellence Quantum computing is more than just the future; it's the present. Whether you're new to quantum computing or an experienced physicist or computer scientist, this book will empower you to master the art and science of quantum computation. What You Will Discover Quantum Fundamentals: Gain a deep understanding of the principles of quantum mechanics and quantum computing, including quantum bits (qubits) and quantum gates. Quantum Algorithms: Explore groundbreaking quantum algorithms and their applications, from Shor's algorithm for integer factorization to Grover's algorithm for unstructured search. Quantum Hardware: Dive into the world of quantum hardware platforms, including superconducting qubits, trapped ions, and topological qubits. Quantum Software Development: Learn to program quantum computers using quantum programming languages like Qiskit, Cirq, and Quipper. Quantum Cryptography: Discover the principles of quantum cryptography, which promises unbreakable security through the laws of quantum physics. Quantum Future: Explore the potential impact of quantum computing on various industries, from cryptography and materials science to artificial intelligence and drug discovery. Why "Mastering Quantum Computing" Is Essential Comprehensive Coverage: This book provides comprehensive coverage of quantum computing topics, ensuring you have a well-rounded understanding of quantum principles and applications. Expert Guidance: Benefit from insights and advice from experienced quantum physicists, computer scientists, and industry experts who share their knowledge and best practices. Career Advancement: Quantum computing is at the forefront of technological innovation, and this book will help you unlock your full potential in this dynamic field. Stay at the Cutting Edge: In a world where quantum computing is poised to revolutionize multiple industries, mastering quantum computing is vital for staying at the forefront of scientific discovery and technological innovation. Your Gateway to Quantum Computing Mastery "Mastering Quantum Computing" is your passport to excellence in the world of quantum computation. Whether you aspire to be a quantum physicist, quantum software developer, or quantum engineer, this guide will equip you with the skills and knowledge to achieve your goals. "Mastering Quantum Computing" is the ultimate resource for individuals seeking to excel in the world of quantum computation and technology. Whether you are new to quantum computing or looking to enhance your skills, this book will provide you with the knowledge and strategies to become a proficient quantum computing expert. Don't wait; begin your journey to quantum computing mastery today! © 2023 Cybellium Ltd. All rights reserved. www.cybellium.com
Open Quantum Systems
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Author : Subhashish Banerjee
language : en
Publisher: Springer
Release Date : 2018-11-01
Open Quantum Systems written by Subhashish Banerjee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-01 with Science categories.
This book discusses the elementary ideas and tools needed for open quantum systems in a comprehensive manner. The emphasis is given to both the traditional master equation as well as the functional (path) integral approaches. It discusses the basic paradigm of open systems, the harmonic oscillator and the two-level system in detail. The traditional topics of dissipation and tunneling, as well as the modern field of quantum information, find a prominent place in the book. Assuming a basic background of quantum and statistical mechanics, this book will help readers familiarize with the basic tools of open quantum systems. Open quantum systems is the study of quantum dynamics of the system of interest, taking into account the effects of the ambient environment. It is ubiquitous in the sense that any system could be envisaged to be surrounded by its environment which could naturally exert its influence on it. Open quantum systems allows for a systematic understanding of irreversible processes such as decoherence and dissipation, of the essence in order to have a correct understanding of realistic quantum dynamics and also for possible implementations. This would be essential for a possible development of quantum technologies.
Supervised Learning With Quantum Computers
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Author : Maria Schuld
language : en
Publisher: Springer
Release Date : 2018-08-30
Supervised Learning With Quantum Computers written by Maria Schuld and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-30 with Science categories.
Quantum machine learning investigates how quantum computers can be used for data-driven prediction and decision making. The books summarises and conceptualises ideas of this relatively young discipline for an audience of computer scientists and physicists from a graduate level upwards. It aims at providing a starting point for those new to the field, showcasing a toy example of a quantum machine learning algorithm and providing a detailed introduction of the two parent disciplines. For more advanced readers, the book discusses topics such as data encoding into quantum states, quantum algorithms and routines for inference and optimisation, as well as the construction and analysis of genuine ``quantum learning models''. A special focus lies on supervised learning, and applications for near-term quantum devices.
Quantum Potential Theory
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Author : Philippe Biane
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-23
Quantum Potential Theory written by Philippe Biane 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 2008-09-23 with Mathematics categories.
This book offers the revised and completed notes of lectures given at the 2007 conference, "Quantum Potential Theory: Structures and Applications to Physics." These lectures provide an introduction to the theory and discuss various applications.