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Coding Theory and Quantum Computing
Edited by: David Evans and Jeffrey J. Holt, University of Virginia, Charlottesville, VA, Chris Jones, St. Mary's College of California, Moraga, CA, and Karen Klintworth, Brian Parshall, Olivier Pfister, and Harold N. Ward, University of Virginia, Charlottesville, VA

Contemporary Mathematics
2005; 147 pp; softcover
Volume: 381
ISBN-10: 0-8218-3600-5
ISBN-13: 978-0-8218-3600-2
List Price: US$57
Member Price: US$45.60
Order Code: CONM/381
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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 Gröbner 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.


Graduate students and research mathematicians interested in coding theory and in quantum computing.

Table of Contents

Coding theory
  • J. B. Farr and S. Gao -- Gröbner bases, Padé approximation, and decoding of linear codes
  • G. L. Matthews -- Some computational tools for estimating the parameters of algebraic geometry codes
  • H. N. Ward -- An introduction to algebraic coding theory
  • Q. Xiang -- Recent results on \(p\)-ranks and Smith normal forms of some \(2-(v,k,\lambda)\) designs
Quantum computing
  • E. Feldman and M. Hillery -- Quantum walks on graphs and quantum scattering theory
  • S. J. Lomonaco, Jr. and L. H. Kauffman -- A continuous variable Shor algorithm
  • S. J. van Enk -- Entangled states of light
  • L. Viola, H. Barnum, E. Knill, G. Ortiz, and R. Somma -- Entanglement beyond subsystems
  • A. Yimsiriwattana and S. J. Lomonaco, Jr. -- Generalized GHZ states and distributed quantum computing
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