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The book provides theoretical methods of connecting discrete-variable quantum information processing to continuous-variable one. It covers the two major fields of quantum information processing, quantum communication and quantum computation, leading to achievement of a long-sought full security of continuous-variable quantum key distribution (QKD) and proposal of a resource-efficient method for optical quantum computing. Firstly, the book provides a security of continuous-variable QKD against arbitrary attacks under a realistic condition such as finite communication rounds and the use of digitized information processing. The book also provides the unified view for conventionally used approximate Gottesman-Kitaev-Preskill (GKP) codes, which encodes qudits on a continuous-variable system, enabling direct comparison between researches based on different approximations. The book finally proposes a resource-efficient method to realize the universal optical quantum computation using the GKP code via the direct preparation of the GKP magic state instead of GKP Pauli states. Feasibility of the proposed protocol is discussed based on the existing experimental proposals for the GKP state preparation.

Production management --- Computer. Automation --- quantumcomputers --- veiligheid (mensen) --- Quantum theory.

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Generalized probabilistic theories (GPTs) allow us to write quantum theory in a purely operational language and enable us to formulate other, vastly different theories. As it turns out, there is no canonical way to integrate the notion of subsystems within the framework of convex operational theories. Sections can be seen as generalization of subsystems and describe situations where not all possible observables can be implemented. Jonathan Steinberg discusses the mathematical foundations of GPTs using the language of Archimedean order unit spaces and investigates the algebraic nature of sections. This includes an analysis of the category theoretic structure and the transformation properties of the state space. Since the Hilbert space formulation of quantum mechanics uses tensor products to describe subsystems, he shows how one can interpret the tensor product as a special type of a section. In addition he applies this concept to quantum theory and compares it with the formulation in the algebraic approach. Afterwards he gives a complete characterization of low dimensional sections of arbitrary quantum systems using the theory of matrix pencils. About the author Jonathan Steinberg studied physics and mathematics at the university of Siegen and obtained his M. Sc. in the field of quantum foundations. Currently he investigates the relation between tensor eigenvalues and the quantification of multipartite entanglement under the tutelage of Prof. Otfried Gühne.

Quantum mechanics. Quantumfield theory --- Computer. Automation --- quantumfysica --- quantumcomputers --- Quantum theory --- Probabilities. --- Mathematics.

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This book offers a brief but effective introduction to quantum machine learning (QML). QML is not merely a translation of classical machine learning techniques into the language of quantum computing, but rather a new approach to data representation and processing. Accordingly, the content is not divided into a "classical part" that describes standard machine learning schemes and a "quantum part" that addresses their quantum counterparts. Instead, to immerse the reader in the quantum realm from the outset, the book starts from fundamental notions of quantum mechanics and quantum computing. Avoiding unnecessary details, it presents the concepts and mathematical tools that are essential for the required quantum formalism. In turn, it reviews those quantum algorithms most relevant to machine learning. Later chapters highlight the latest advances in this field and discuss the most promising directions for future research. To gain the most from this book, a basic grasp of statistics and linear algebra is sufficient; no previous experience with quantum computing or machine learning is needed. The book is aimed at researchers and students with no background in quantum physics and is also suitable for physicists looking to enter the field of QML.

Programming --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- quantumcomputers --- programmeren (informatica) --- KI (kunstmatige intelligentie) --- Machine learning. --- Quantum computing.

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This unique text/reference explores music with respect to quantum computing, a nascent technology that is advancing rapidly. Quantum computing promises to bring unprecedented higher speed and optimisation for running algorithms. Of course, this will benefit the music industry in one way or another, but also yield new approaches to musical creativity. There is a long history of research into using computers for music since the 1950s, and nowadays, computers are essential for the music economy. Indeed, it is very likely that quantum computers will impact the music industry in times to come. Consequently, a new area of research and development is emerging: quantum computer music. This unprecedented book examines this new field, introducing the fundamentals of quantum computing for musicians and the latest developments by pioneering practitioners. Each chapter focuses on innovative approaches that leverage the quantum-mechanical nature of quantum computing. Any additional theory required for understanding a given approach is supplied in the respective chapter, and plenty of references are provided. The book also includes some tutorials and walk-through examples, in addition to addressing scientific and aesthetic considerations. Written by pioneering experts, the present volume will serve as a first-of-its-kind reference for all those interested in or studying this fascinating and promising new field. Prof. Eduardo Reck Miranda is a composer and a professor in Computer Music at Plymouth University, UK, where he is a director of the Interdisciplinary Centre for Computer Music Research (ICCMR). His previous publications include the Springer titles Handbook of Artificial Intelligence for Music, Guide to Unconventional Computing for Music, Guide to Brain-Computer Music Interfacing and Guide to Computing for Expressive Music Performance.

Human sciences --- Programming --- Computer architecture. Operating systems --- Information systems --- Computer. Automation --- quantumcomputers --- applicatiebeheer --- sociale media --- apps --- architectuur (informatica) --- Quantum computing. --- Computer music --- Analysis, appreciation.

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The quadratic binary optimization problem (QUBO) is a versatile combinatorial optimization model with a variety of applications and rich theoretical properties. Application areas of the model include finance, cluster analysis, traffic management, machine scheduling, VLSI physical design, physics, quantum computing, engineering, and medicine. In addition, various mathematical optimization models can be reformulated as a QUBO, including the resource constrained assignment problem, set partitioning problem, maximum cut problem, quadratic assignment problem, the bipartite unconstrained binary optimization problem, among others. This book presents a systematic development of theory, algorithms, and applications of QUBO. It offers a comprehensive treatment of QUBO from various viewpoints, including a historical introduction along with an in-depth discussion of applications modelling, complexity and polynomially solvable special cases, exact and heuristic algorithms, analysis of approximation algorithms, metaheuristics, polyhedral structure, probabilistic analysis, persistencies, and related topics. Available software for solving QUBO is also introduced, including public domain, commercial, as well as quantum computing based codes.

Numerical methods of optimisation --- Operational research. Game theory --- Discrete mathematics --- Mathematical statistics --- Planning (firm) --- Business management --- Computer science --- Computer. Automation --- quantumcomputers --- discrete wiskunde --- management --- mathematische modellen --- econometrie --- wiskunde --- algoritmen --- operationeel onderzoek --- Mathematical optimization. --- Quadratic programming. --- Binary system (Mathematics)