Contemporary Mathematics 2005; 147 pp; softcover Volume: 381 ISBN10: 0821836005 ISBN13: 9780821836002 List Price: US$54 Member Price: US$43.20 Order Code: CONM/381
 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. Readership 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
