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

• 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

• 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