Mathematics of quantum computation and quantum technology / edited by Goong Chen, Louis Kauffman, Samuel J. Lomonaco.
Emphasizing the mathematical methodology of quantum computing, this text presents the latest developments in the field. It covers quantum algorithms, quantum error correction codes, quantum teleportation, topological quantum computing, quantum search and quantum computational technology.
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Format: | eBook |
Language: | English |
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Boca Raton :
Chapman & Hall/CRC,
©2008.
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Series: | Chapman & Hall/CRC applied mathematics and nonlinear science series.
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Table of Contents:
- 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.