Mathematics of Quantum Computation and Quantum Technology

Mathematics of Quantum Computation and Quantum Technology

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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.show more

Product details

  • Hardback | 624 pages
  • 157.48 x 236.22 x 35.56mm | 975.22g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • New.
  • 249 black & white illustrations, 7 black & white tables
  • 1584888997
  • 9781584888994
  • 1,835,616

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 INDEXshow more

About Goong Chen

Texas A&M University, College Station, USA University of Illinois, Chicago, USA University of Maryland, Baltimore, USAshow more