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Mathematics of Quantum Computation and Quantum Technology<br />
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Type.................: Ebook<br />
Part Size............: 8,910,201 bytes<br />
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Posted by............: ~tqw~<br />
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Research and development in the pioneering field of quantum computing involve <br />
just about every facet of science and engineering, including the significant <br />
areas of mathematics and physics. Based on the firm understanding that <br />
mathematics and physics are equal partners in the continuing study of quantum <br />
science, Mathematics of Quantum Computation and Quantum Technology explores the <br />
rapid mathematical advancements made in this field in recent years. Novel <br />
Viewpoints on Numerous Aspects of Quantum Computing and Technology Edited by a <br />
well-respected team of experts, this volume compiles contributions from <br />
specialists across various disciplines. It contains four main parts, beginning <br />
with topics in quantum computing that include quantum algorithms and hidden <br />
subgroups, quantum search, algorithmic complexity, and quantum simulation. The <br />
next section covers quantum technology, such as mathematical tools, quantum wave <br />
functions, superconducting quantum computing interference devices (SQUIDs), and <br />
optical quantum computing. The section on quantum information deals with error <br />
correction, cryptography, entanglement, and communication. The final part <br />
explores topological quantum computation, knot theory, category algebra, and <br />
logic. The Tools You Need to Tackle the Next Generation of Quantum Technology <br />
This book facilitates both the construction of a common quantum language and the <br />
development of interdisciplinary quantum techniques, which will aid efforts in <br />
the pursuit of the ultimate goal-a "real" scalable quantum computer.<br />
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Table Of Contents<br />
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Contents<br />
Preface v<br />
Quantum Computation 1<br />
1 Quantum Hidden Subgroup Algorithms: An Algorithmic Toolkit 3<br />
2 A Realization Scheme for Quantum Multi-Object Search 47<br />
3 On Interpolating between Quantum and Classical Complexity Classes 67<br />
4 Quantum Algorithms for Hamiltonian Simulation 89<br />
Quantum Technology 113<br />
5 New Mathematical Tools for Quantum Technology 115<br />
6 The Probabilistic Nature of Quantum Mechanics 149<br />
7 Superconducting Quantum Computing Devices 171<br />
8 Nondeterministic Logic Gates in Optical Quantum Computing 223<br />
Quantum Information 257<br />
9 Exploiting Entanglement in Quantum Cryptographic Probes 259<br />
10 Nonbinary Stabilizer Codes 287<br />
11 Accessible information about quantum states: An open optimization problem 309<br />
12 Quantum Entanglement: Concepts and Criteria 349<br />
13 Parametrizations of Positive MatricesWith Applications 387<br />
Quantum Topology, Categorical Algebra, and Logic 407<br />
14 Quantum Computing and Quantum Topology 409<br />
15 Temperley–Lieb Algebra: From Knot Theory to Logic and Computation via Quantum <br />
Mechanics 515<br />
16 Quantum measurements without sums 559<br />
Appendix Panel Report on the Forward Looking Discussion 597<br />
Index 603<br />
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Product Details<br />
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* ISBN: 1584888997<br />
* ISBN-13: 9781584888994<br />
* Format: Hardcover, 352pp<br />
* Publisher: CRC Press<br />
* Pub. Date: October 2007<br />
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