Adiabatic Quantum Computation and Quantum Annealing: Theory and Practice, Catherine C. McGeoch
Автор: Keisuke Fujii Название: Quantum Computation with Topological Codes ISBN: 9812879951 ISBN-13(EAN): 9789812879950 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a self-consistent review of quantum computation with topological quantum codes. The book covers everything required to understand topological fault-tolerant quantum computation, ranging from the definition of the surface code to topological quantum error correction and topological fault-tolerant operations.
Автор: Mladen Pavicic Название: Quantum Computation and Quantum Communication: ISBN: 1461498929 ISBN-13(EAN): 9781461498926 Издательство: Springer Рейтинг: Цена: 130590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The attraction of quantum computation and quantum communica- tion theory and experiments hes in the fact that we engineer both them themselves and the quantum systems they treat. This approach has turned out to be very resiUent. Driven by the final goal of calculating exponentially faster and communicating infinitely more securely than we do today, as soon as we encounter a limitation in either a theory or experiment, a new idea around the no-go emerges. As soon as the decoherence "demon" threatened the first computation models, quan- tum error correction theory was formulated and applied not only to computation theory but also to communication theory to make it un- conditionally secure. As soon as liquid-state nuclear magnetic resonance experiments started to approach their limits, solid-based nuclear spin experiments--the Kane computer--came in. As soon as it was proved that it is theoretically impossible to completely distinguish photon Bell states, three new approaches appeared: hyperentanglement, the use of continuous variables, and the Knill-Laflamme-Milburn proposal. There are many more such examples. What facilitated all these breakthroughs is the fact that at the present stage of development of quantum computation and communication, we deal with elementary quantum systems consisting of several two-level systems. The complexity of handling and controlHng such simple sys- tems in a laboratory has turned out to be tremendous, but the basic physical models we follow and calculate for the systems themselves are not equally intricate.
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.
Автор: Nakahara Mikio Et Al Название: Diversities In Quantum Computation And Quantum Information ISBN: 9814425974 ISBN-13(EAN): 9789814425971 Издательство: World Scientific Publishing Рейтинг: Цена: 85530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is a collection of lecture notes and contributions in "Summer School on Diversities in Quantum Computation/Information" held on 1-5 August, 2010 at U-Community Hotel, Higashi-Osaka, Japan. Lecturers are world class authorities in respective areas in quantum information and quantum computing including physics, mathematics, chemistry and information science. They lectured on cutting-edge research frontiers where they are currently working, including quantum error correction, relativistic quantum information, quantum computing of link polynomials, quantum algorithms, etc. Each lecture note is written in a self-contained manner so that it may be used as a textbook for one semester graduate course or advanced undergraduate course. Contributions report current research subjects also in a self-contained manner. We believe that these articles are accessible to the readers form various disciplines.
Автор: Catherine C. McGeoch Название: Adiabatic Quantum Computation and Quantum Annealing: Theory and Practice ISBN: 1627055924 ISBN-13(EAN): 9781627055925 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 46200.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Adiabatic quantum computation (AQC) is an alternative to the better-known gate model of quantum computation. This monograph presents an introductory overview of this unusual and rapidly developing approach to computation. The discussion throughout is aimed at an audience of computer scientists with little background in quantum computation or in physics.
Автор: William Cruz-Santos, Guillermo Morales-Luna Название: Approximability of Optimization Problems through Adiabatic Quantum Computation ISBN: 1627055568 ISBN-13(EAN): 9781627055567 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 41580.00 T Наличие на складе: Невозможна поставка. Описание: 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 2? × 2?, 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.
Автор: Anjan Kumar Chandra; Arnab Das; Bikas K. Chakrabar Название: Quantum Quenching, Annealing and Computation ISBN: 3642114695 ISBN-13(EAN): 9783642114694 Издательство: Springer Рейтинг: Цена: 78350.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Written by well-known experts, these lectures concentrate on quantum phase transitions and their dynamics as the transition or critical points are crossed. Both the quenching and annealing dynamics are extensively covered.
Автор: Shu Tanaka, Ryo Tamura, Bikas K. Chakrabarti Название: Quantum Spin Glasses, Annealing and Computation ISBN: 1107113199 ISBN-13(EAN): 9781107113190 Издательство: Cambridge Academ Рейтинг: Цена: 128830.00 T Наличие на складе: Невозможна поставка. Описание: Highlighting the principles of quantum annealing and its role in solving combinatorial optimization problems, this text discusses recent developments in the field of quantum computations and quantum physics of spin glasses including quantum annealing methods, replica method and Nishimori line.
Автор: Watrous, John (university Of Waterloo, Ontario) Название: The theory of quantum information ISBN: 1107180562 ISBN-13(EAN): 9781107180567 Издательство: Cambridge Academ Рейтинг: Цена: 77090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.
Автор: Nielsen Название: Quantum Computation and Quantum Information ISBN: 1107002176 ISBN-13(EAN): 9781107002173 Издательство: Cambridge Academ Рейтинг: Цена: 63350.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A decade after it was first published, this book remains the best textbook in this exciting field. This 10th anniversary edition includes an introduction from the authors setting the work in context. Containing a wealth of figures and exercises, it is ideal for courses on the subject.
Название: Classical and Quantum Computation, Kitaev ISBN: 0821832298 ISBN-13(EAN): 9780821832295 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 37620.00 T Наличие на складе: Невозможна поставка. Описание: Presents an introduction to the theory of quantum computing. This book starts with the basics of classical theory of computation: Turing machines, Boolean circuits, parallel algorithms, probabilistic computation, NP-complete problems, and the idea of complexity of an algorithm. It provides an exposition of quantum computation theory.
Автор: Andrew Childs; Michele Mosca Название: Theory of Quantum Computation, Communication and Cryptography ISBN: 3642106978 ISBN-13(EAN): 9783642106972 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Topics addressed are such as quantum algorithms, models of quantum computation, quantum complexity theory, simulation of quantum systems, quantum cryptography, quantum communication, quantum estimation and measurement, quantum noise, quantum coding theory, fault-tolerant quantum computing, and entanglement theory.
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