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Perturbation Theory for Solid-state Quantum Computation with Many Quantum Bits

2005 Technology & Engineering
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Release : 2005
Genre : Technology & Engineering
Kind : eBook
Book Rating : 512/5 ( reviews)

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Book Synopsis Perturbation Theory for Solid-state Quantum Computation with Many Quantum Bits by : Gennady P. Berman

Download or read book Perturbation Theory for Solid-state Quantum Computation with Many Quantum Bits written by Gennady P. Berman. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: A quantum computer is expected capable to solve a vast range of mathematical and physical problems much faster than a classical computer. In order to be useful, the register of a quantum computer must contain a large number of qubits. Numerical simulations of quantum dynamics of a many-qubit quantum computer (for optimization of parameters, benchmarking, and architecture design) requires diagonalization of exponentially large matrices or integration for a long time of an exponentially large system of coupled differential equations. In this book, a theoretical approach is presented, wich solves the above problem by using a quantum-mechanical perturbation theory. The perturbation theory is based on small parameters that naturally appear in the system. The results of numerical simulations are widely used to support the theoretical propositions. It is demonstrated how to simulate simple quantum logic operations and quantum protocols involving a large number of qubits (up to 2000). It is especially useful for minimizing the effects of most types of errors encountered in solid-state quantum computers. Implementations of quantum algorithms are demonstrated in spin systems, quantum dots, and superconducting systems. Almost all results of the book are derived from the first principles. This book is useful for scientists, engineers, and students who are interested in quantum computing.

Handbook of Quantum Logic and Quantum Structures

2011-08-11 Mathematics
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Release : 2011-08-11
Genre : Mathematics
Kind : eBook
Book Rating : 38X/5 ( reviews)

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Book Synopsis Handbook of Quantum Logic and Quantum Structures by : Kurt Engesser

Download or read book Handbook of Quantum Logic and Quantum Structures written by Kurt Engesser. This book was released on 2011-08-11. Available in PDF, EPUB and Kindle. Book excerpt: Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled "The logic of quantum mechanics quantum logic, i.e. the logical investigation of quantum mechanics, has undergone an enormous development. Various schools of thought and approaches have emerged and there are a variety of technical results.Quantum logic is a heterogeneous field of research ranging from investigations which may be termed logical in the traditional sense to studies focusing on structures which are on the border between algebra and logic. For the latter structures the term quantum structures is appropriate. The chapters of this Handbook, which are authored by the most eminent scholars in the field, constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic and quantum structures. Much of the material presented is of recent origin representing the frontier of the subject. The present volume focuses on quantum structures. Among the structures studied extensively in this volume are, just to name a few, Hilbert lattices, D-posets, effect algebras MV algebras, partially ordered Abelian groups and those structures underlying quantum probability.- Written by eminent scholars in the field of logic- A comprehensive presentation of the theory, approaches and results in the field of quantum logic- Volume focuses on quantum structures

Quantum Computing in Solid State Systems

2008-11-01 Science
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Release : 2008-11-01
Genre : Science
Kind : eBook
Book Rating : 030/5 ( reviews)

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Book Synopsis Quantum Computing in Solid State Systems by : Berardo Ruggiero

Download or read book Quantum Computing in Solid State Systems written by Berardo Ruggiero. This book was released on 2008-11-01. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Computation in Solid State Systems discusses experimental implementation of quantum computing for information processing devices; in particular observations of quantum behavior in several solid state systems are presented. The complementary theoretical contributions provide models of minimizing decoherence in the different systems. Most recent theoretical and experimental results on macroscopic quantum coherence of mesoscopic systems, as well as the realization of solid-state qubits and quantum gates are discussed. Particular attention is given to coherence effects in Josephson devices. Other solid state systems---including quantum dots, optical, ion, and spin devices---are also discussed.

Quantum Computation and Information

2002 Computers
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Release : 2002
Genre : Computers
Kind : eBook
Book Rating : 407/5 ( reviews)

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Book Synopsis Quantum Computation and Information by : Samuel J. Lomonaco

Download or read book Quantum Computation and Information written by Samuel J. Lomonaco. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers given by invited speakers at the first AMS Special Session on Quantum Computation and Information held at the January 2000 Annual Meeting of the AMS in Washington, DC. The papers in this volume give readers a broad introduction to the many mathematical research challenges posed by the new and emerging field of quantum computation and quantum information. Of particular interest is a long paper by Lomonaco and Kauffman discussing mathematical and computational aspects of the so-called hidden subgroup algorithm. This book is intended to help readers recognize that, as a result of this new field of quantum information science, mathematical research opportunities abound in such diverse mathematical fields as algebraic coding theory, algebraic geometry, algebraic topology, communication theory, control theory, cryptography, differential geometry, differential topology, dynamical systems, game theory, group theory, information theory, number theory, operator theory, robotics, theory of computation, mathematical logic, mathematical physics, and more. It is hoped that this book will act as a catalyst to encourage members of the mathematical community to take advantage of the many mathematical research opportunities arising from the ``grand challenge'' of Quantum Information Science. This book is the companion volume to Quantum Computation: A Grand Mathematical Challenge for the Twenty-First Century and the Millennium, PSAPM/58, Volume 58 in the Proceedings of Symposia in Applied Mathematics series.

Solid State Quantum Information -- An Advanced Textbook: Quantum Aspect Of Many-body Systems

2018-02-22 Science
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Release : 2018-02-22
Genre : Science
Kind : eBook
Book Rating : 816/5 ( reviews)

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Book Synopsis Solid State Quantum Information -- An Advanced Textbook: Quantum Aspect Of Many-body Systems by : Wonmin Son

Download or read book Solid State Quantum Information -- An Advanced Textbook: Quantum Aspect Of Many-body Systems written by Wonmin Son. This book was released on 2018-02-22. Available in PDF, EPUB and Kindle. Book excerpt: This book on solid state physics has been written with an emphasis on recent developments in quantum many-body physics approaches. It starts by covering the classical theory of solids and electrons and describes how this classical model has failed. The authors then present the quantum mechanical model of electrons in a lattice and they also discuss the theory of conductivity. Extensive reviews on the topic are provided in a compact manner so that any non-specialist can follow from the beginning.The authors cover the system of magnetism in a similar way and various problems in magnetic materials are discussed. The book also discusses the Ising chain, the Heisenberg model, the Kondo effect and superconductivity, amongst other relevant topics.In the final chapter, the authors present some works related to contemporary research topics, such as quantum entanglement in many-body systems and quantum simulations. They also include a short review of some of the possible applications of solid state quantum information in biological systems.

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