Mathematics of Quantum Computation and Quantum Technology

ISBN-13: 9781584888994 / Angielski / Twarda / 2007 / 631 str.

Goong Chen; JR. Samuel J. LoMonaco; Louis Kauffman

Opis

Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation and Quantum Technology explores the rapid mathematical advancements made in this field in recent years.
Novel Viewpoints on Numerous Aspects of Quantum Computing and Technology
Edited by a well-respected team of experts, this volume compiles contributions from specialists across various disciplines. It contains four main parts, beginning with topics in quantum computing that include quantum algorithms and hidden subgroups, quantum search, algorithmic complexity, and quantum simulation. The next section covers quantum technology, such as mathematical tools, quantum wave functions, superconducting quantum computing interference devices (SQUIDs), and optical quantum computing. The section on quantum information deals with error correction, cryptography, entanglement, and communication. The final part explores topological quantum computation, knot theory, category algebra, and logic.
The Tools You Need to Tackle the Next Generation of Quantum Technology
This book facilitates both the construction of a common quantum language and the development of interdisciplinary quantum techniques, which will aid efforts in the pursuit of the ultimate goal-a "real" scalable quantum computer.

Spis treści

PREFACE

QUANTUM COMPUTATION
Quantum Hidden Subgroup Algorithms: An Algorithmic Toolkit
Samuel J. Lomonaco and Louis H. Kauffman

A Realization Scheme for Quantum Multi-Object Search
Zijian Diao, Goong Chen, and Peter Shiue

On Interpolating between Quantum and Classical Complexity Classes
J. Maurice Rojas

Quantum Algorithms for Hamiltonian Simulation
Dominic W. Berry, Graeme Ahokas, Richard Cleve, and Barry C. Sanders

QUANTUM TECHNOLOGY
New Mathematical Tools for Quantum Technology
C. Bracher, M. Kleber, and T. Kramer

The Probabilistic Nature of Quantum Mechanics
Leon Cohen

Superconducting Quantum Computing Devices
Zhigang Zhang and Goong Chen

Nondeterministic Logic Gates in Optical Quantum Computing
Federico M. Spedalieri, Jonathan P. Dowling, and Hwang Lee

QUANTUM INFORMATION
Exploiting Entanglement in Quantum Cryptographic Probes
Howard E. Brandt

Nonbinary Stabilizer Codes
Pradeep Kiran Sarvepalli, Salah A. Aly, and Andreas Klappenecker

Accessible Information about Quantum States: An Open Optimization Problem
Jun Suzuki, Syed M. Assad, and Berthold-Georg Englert

Quantum Entanglement: Concepts and Criteria
Fu-li Li and M. Suhail Zubairy

Parametrizations of Positive Matrices with Applications
M. Tseng, H. Zhou, and V. Ramakrishna

QUANTUM TOPOLOGY, CATEGORICAL ALGEBRA, AND LOGIC
Quantum Computing and Quantum Topology
Louis H. Kauffman and Samuel J. Lomonaco

Temperley-Lieb Algebra: From Knot Theory to Logic and Computation via Quantum Mechanics
Samson Abramsky

Quantum Measurements without Sums
Bob Coecke and Dusko Pavlovic

APPENDIX
INDEX

O autorze

Goong Chen, Louis Kauffman, Samuel J. Lomonaco