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Mathematics of Quantum Computation and Quantum Technology

General Information
Type.................: Ebook
Part Size............: 8,910,201 bytes

Post Information
Posted by............: ~tqw~

Release Notes
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

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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