Mathematics of Quantum Computation and Quantum Technology

Louis Kauffman, Samuel J. Lomonaco

© 2007 - Chapman and Hall/CRC
Published September 19, 2007
Reference - 624 Pages - 249 B/W Illustrations
ISBN 9781584888994 - CAT# C8997
Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

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Features

  • Contains the most recent mathematical results in quantum computation, information, and technology
  • Provides the necessary background material to help newcomers to the field
  • Emphasizes interdisciplinary research in quantum computing, particularly in mathematics and physics
  • Covers a wide range of state-of-the-art topics, including algorithms, hidden subgroups, topological quantum computing, quantum functions and logic, quantum devices, and nanotechnology
  • Includes a panel report of recommendations for federal funding of mathematical research on quantum computing
  • Summary

    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.

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