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Mathematics of Quantum Computation and Quantum Technology

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General Information

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Type.................: Ebook

Part Size............: 8,910,201 bytes









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Post Information

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Posted by............: ~tqw~



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Release Notes

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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.



Table Of Contents



Contents

Preface v

Quantum Computation 1

1 Quantum Hidden Subgroup Algorithms: An Algorithmic Toolkit 3

2 A Realization Scheme for Quantum Multi-Object Search 47

3 On Interpolating between Quantum and Classical Complexity Classes 67

4 Quantum Algorithms for Hamiltonian Simulation 89

Quantum Technology 113

5 New Mathematical Tools for Quantum Technology 115

6 The Probabilistic Nature of Quantum Mechanics 149

7 Superconducting Quantum Computing Devices 171

8 Nondeterministic Logic Gates in Optical Quantum Computing 223

Quantum Information 257

9 Exploiting Entanglement in Quantum Cryptographic Probes 259

10 Nonbinary Stabilizer Codes 287

11 Accessible information about quantum states: An open optimization problem 309

12 Quantum Entanglement: Concepts and Criteria 349

13 Parametrizations of Positive MatricesWith Applications 387

Quantum Topology, Categorical Algebra, and Logic 407

14 Quantum Computing and Quantum Topology 409

15 Temperley–Lieb Algebra: From Knot Theory to Logic and Computation via Quantum

Mechanics 515

16 Quantum measurements without sums 559

Appendix Panel Report on the Forward Looking Discussion 597

Index 603



Product Details



* ISBN: 1584888997

* ISBN-13: 9781584888994

* Format: Hardcover, 352pp

* Publisher: CRC Press

* Pub. Date: October 2007



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