Coding theory and quantum computing : an international conference on Coding Theory and Quantum Computing, May 20-24, 2003, University of Virginia
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Bibliographic Information
Coding theory and quantum computing : an international conference on Coding Theory and Quantum Computing, May 20-24, 2003, University of Virginia
（Contemporary mathematics, 381）
American Mathematical Society, c2005
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Includes bibliographical references
Description and Table of Contents
Description
A conference, 'Coding Theory and Quantum Computing', was held in Charlottesville, VA, to provide an opportunity for computer scientists, mathematicians, and physicists to interact about subjects of common interest. This proceedings volume grew out of that meeting. It is divided into two parts: 'Coding Theory' and 'Quantum Computing'. In the first part, Harold Ward gives an introduction to coding theory. Other papers survey recent important work, such as coding theory applications of Grobner bases, methods of computing parameters of codes corresponding to algebraic curves, and problems in the theory of designs. The second part of the book covers a wide variety of directions in quantum information with an emphasis on understanding entanglement. The material presented is suitable for graduate students and researchers interested in coding theory and in quantum computing.
Table of Contents
Coding theory: Grobner bases, Pade approximation, and decoding of linear codes by J. B. Farr and S. Gao Some computational tools for estimating the parameters of algebraic geometry codes by G. L. Matthews An introduction to algebraic coding theory by H. N. Ward Recent results on $p$-ranks and Smith normal forms of some $2-(v,k,\lambda)$ designs by Q. Xiang Quantum computing: Quantum walks on graphs and quantum scattering theory by E. Feldman and M. Hillery A continuous variable Shor algorithm by S. J. Lomonaco, Jr. and L. H. Kauffman Entangled states of light by S. J. van Enk Entanglement beyond subsystems by L. Viola, H. Barnum, E. Knill, G. Ortiz, and R. Somma Generalized GHZ states and distributed quantum computing by A. Yimsiriwattana and S. J. Lomonaco, Jr.
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