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Author: Gennady P. Berman
Publisher: Rinton PressInc
ISBN: 9781589490512
Category : Technology & Engineering
Languages : en
Pages : 207
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Book Description
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.
Author: Gennady P. Berman
Publisher: Rinton PressInc
ISBN: 9781589490512
Category : Technology & Engineering
Languages : en
Pages : 207
Get Book
Book Description
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.
Author: Berardo Ruggiero
Publisher: Springer
ISBN: 9781441920898
Category : Science
Languages : en
Pages : 0
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Book Description
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.
Author: Kurt Engesser
Publisher: Elsevier
ISBN: 9780080550381
Category : Computers
Languages : en
Pages : 818
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Book Description
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
Author: Samuel J. Lomonaco
Publisher: American Mathematical Soc.
ISBN: 0821821407
Category : Computers
Languages : en
Pages : 322
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 984
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Book Description
Author: Dante Gatteschi
Publisher: OUP Oxford
ISBN: 0191620858
Category : Science
Languages : en
Pages : 416
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Book Description
Nanomagnetism is a rapidly expanding area of research which appears to be able to provide novel applications. Magnetic molecules are at the very bottom of the possible size of nanomagnets and they provide a unique opportunity to observe the coexistence of classical and quantum properties. The discovery in the early 90's that a cluster comprising twelve manganese ions shows hysteresis of molecular origin, and later proved evidence of quantum effects, opened a new research area which is still flourishing through the collaboration of chemists and physicists. This book is the first attempt to cover in detail the new area of molecular nanomagnetism, for which no other book is available. In fact research and review articles, and book chapters are the only tools available for newcomers and the experts in the field. It is written by the chemists originators and by a theorist who has been one of the protagonists of the development of the field, and is explicitly addressed to an audience of chemists and physicists, aiming to use a language suitable for the two communities.
Author: Centenary Professor of Quantum Information University of Leeds Vlatko Vedral
Publisher: World Scientific
ISBN: 1911299816
Category :
Languages : en
Pages : 212
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Book Description
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. Request Inspection Copy Contents: IntroductionElectrical ConductivityTheory of Magnetism and Many-Body Quantum MechanicsContemporary Topics in Many-Body Quantum Physics Readership: Graduate students in physics and quantum information science. Keywords: Condensed Matter Physics;Solid State Physics;Quantum Physics;Quantum Mechanics;Quantum Information;Electrical Conductivity;Theory of Magnetism;Many-body Quantum MechanicsReview:0
Author: Berardo Ruggiero
Publisher: Springer
ISBN: 9780387508030
Category : Science
Languages : en
Pages : 0
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Book Description
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.
Author: National Academies of Sciences, Engineering, and Medicine
Publisher: National Academies Press
ISBN: 0309499542
Category : Science
Languages : en
Pages : 315
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Book Description
The field of atomic, molecular, and optical (AMO) science underpins many technologies and continues to progress at an exciting pace for both scientific discoveries and technological innovations. AMO physics studies the fundamental building blocks of functioning matter to help advance the understanding of the universe. It is a foundational discipline within the physical sciences, relating to atoms and their constituents, to molecules, and to light at the quantum level. AMO physics combines fundamental research with practical application, coupling fundamental scientific discovery to rapidly evolving technological advances, innovation and commercialization. Due to the wide-reaching intellectual, societal, and economical impact of AMO, it is important to review recent advances and future opportunities in AMO physics. Manipulating Quantum Systems: An Assessment of Atomic, Molecular, and Optical Physics in the United States assesses opportunities in AMO science and technology over the coming decade. Key topics in this report include tools made of light; emerging phenomena from few- to many-body systems; the foundations of quantum information science and technologies; quantum dynamics in the time and frequency domains; precision and the nature of the universe, and the broader impact of AMO science.
Author:
Publisher: Newnes
ISBN: 0080932282
Category : Science
Languages : en
Pages : 3572
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Book Description
Semiconductors are at the heart of modern living. Almost everything we do, be it work, travel, communication, or entertainment, all depend on some feature of semiconductor technology. Comprehensive Semiconductor Science and Technology, Six Volume Set captures the breadth of this important field, and presents it in a single source to the large audience who study, make, and exploit semiconductors. Previous attempts at this achievement have been abbreviated, and have omitted important topics. Written and Edited by a truly international team of experts, this work delivers an objective yet cohesive global review of the semiconductor world. The work is divided into three sections. The first section is concerned with the fundamental physics of semiconductors, showing how the electronic features and the lattice dynamics change drastically when systems vary from bulk to a low-dimensional structure and further to a nanometer size. Throughout this section there is an emphasis on the full understanding of the underlying physics. The second section deals largely with the transformation of the conceptual framework of solid state physics into devices and systems which require the growth of extremely high purity, nearly defect-free bulk and epitaxial materials. The last section is devoted to exploitation of the knowledge described in the previous sections to highlight the spectrum of devices we see all around us. Provides a comprehensive global picture of the semiconductor world Each of the work's three sections presents a complete description of one aspect of the whole Written and Edited by a truly international team of experts
