Physical Implementation of Quantum Walks


Book Description

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.




Mastering Quantum Computing


Book Description

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




Graph Theory: Quantum Walk


Book Description

"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.




Quantum Walks and Search Algorithms


Book Description

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.




Applications Of Contact Geometry And Topology In Physics


Book Description

Although contact geometry and topology is briefly discussed in V I Arnol'd's book “Mathematical Methods of Classical Mechanics ”(Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges “An Introduction to Contact Topology” (Cambridge U Press, 2008). Some attempts to use contact geometry in physics were made in the monograph “Contact Geometry and Nonlinear Differential Equations” (Cambridge U Press, 2007). Unfortunately, even the excellent style of this monograph is not sufficient to attract the attention of the physics community to this type of problems. This book is the first serious attempt to change the existing status quo. In it we demonstrate that, in fact, all branches of theoretical physics can be rewritten in the language of contact geometry and topology: from mechanics, thermodynamics and electrodynamics to optics, gauge fields and gravity; from physics of liquid crystals to quantum mechanics and quantum computers, etc. The book is written in the style of famous Landau-Lifshitz (L-L) multivolume course in theoretical physics. This means that its readers are expected to have solid background in theoretical physics (at least at the level of the L-L course). No prior knowledge of specialized mathematics is required. All needed new mathematics is given in the context of discussed physical problems. As in the L-L course some problems/exercises are formulated along the way and, again as in the L-L course, these are always supplemented by either solutions or by hints (with exact references). Unlike the L-L course, though, some definitions, theorems, and remarks are also presented. This is done with the purpose of stimulating the interest of our readers in deeper study of subject matters discussed in the text.




Discrete Time Series, Processes, and Applications in Finance


Book Description

This book surveys empirical properties of financial time series, discusses their mathematical basis, and describes uses in risk evaluation, option pricing or portfolio construction. The author introduces and assesses a range of processes against the benchmark.




Complexity and Control in Quantum Photonics


Book Description

This work explores the scope and flexibility afforded by integrated quantum photonics, both in terms of practical problem-solving, and for the pursuit of fundamental science. The author demonstrates and fully characterizes a two-qubit quantum photonic chip, capable of arbitrary two-qubit state preparation. Making use of the unprecedented degree of reconfigurability afforded by this device, a novel variation on Wheeler’s delayed choice experiment is implemented, and a new technique to obtain nonlocal statistics without a shared reference frame is tested. Also presented is a new algorithm for quantum chemistry, simulating the helium hydride ion. Finally, multiphoton quantum interference in a large Hilbert space is demonstrated, and its implications for computational complexity are examined.




Quantized Vortices in Helium II


Book Description

This book discusses the properties of quantized vortex lines in superfluid helium-4 in the light of research on vortices in modern fluid mechanics, and gives the first comprehensive treatment of the problem. The author's comprehensive approach will make this book invaluable for students taking advanced undergraduate or graduate courses, and for all those involved in research on classical and quantum vortices.




Quantum Information, 2 Volume Set


Book Description

This comprehensive textbook on the rapidly advancing field introduces readers to the fundamental concepts of information theory and quantum entanglement, taking into account the current state of research and development. It thus covers all current concepts in quantum computing, both theoretical and experimental, before moving on to the latest implementations of quantum computing and communication protocols. It contains problems and exercises and is therefore ideally suited for students and lecturers in physics and informatics, as well as experimental and theoretical physicists in academia and industry who work in the field of quantum information processing. The second edition incorporates important recent developments such as quantum metrology, quantum correlations beyond entanglement, and advances in quantum computing with solid state devices.




Combinatorial Optimization Problems: Quantum Computing


Book Description

"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.