Softcover ISBN:  9780821836002 
Product Code:  CONM/381 
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Electronic ISBN:  9780821879719 
Product Code:  CONM/381.E 
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Book DetailsContemporary MathematicsVolume: 381; 2005; 147 ppMSC: Primary 81; 68; 94; 05;
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.ReadershipGraduate students and research mathematicians interested in coding theory and in quantum computing.

Table of Contents

Coding Theory [ MR 2164873 ]

Jeffrey B. Farr and Shuhong Gao  Gröbner bases, Padé approximation, and decoding of linear codes [ MR 2170796 ]

Gretchen L. Matthews  Some computational tools for estimating the parameters of algebraic geometry codes [ MR 2170797 ]

Harold N. Ward  An introduction to algebraic coding theory [ MR 2170798 ]

Qing Xiang  Recent results on $p$ranks and Smith normal forms of some $2\text {}(v,k,\lambda )$ designs [ MR 2170799 ]

Quantum Computing [ MR 2164873 ]

Edgar Feldman and Mark Hillery  Quantum walks on graphs and quantum scattering theory [ MR 2170800 ]

Samuel J. Lomonaco, Jr. and Louis H. Kauffman  A continuous variable Shor algorithm [ MR 2170801 ]

S. J. van Enk  Entangled states of light [ MR 2170802 ]

L. Viola, H. Barnum, E. Knill, G. Ortiz and R. Somma  Entanglement beyond subsystems [ MR 2170803 ]

Anocha Yimsiriwattana and Samuel J. Lomonaco, Jr.  Generalized GHZ states and distributed quantum computing [ MR 2170804 ]


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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.

Coding Theory [ MR 2164873 ]

Jeffrey B. Farr and Shuhong Gao  Gröbner bases, Padé approximation, and decoding of linear codes [ MR 2170796 ]

Gretchen L. Matthews  Some computational tools for estimating the parameters of algebraic geometry codes [ MR 2170797 ]

Harold N. Ward  An introduction to algebraic coding theory [ MR 2170798 ]

Qing Xiang  Recent results on $p$ranks and Smith normal forms of some $2\text {}(v,k,\lambda )$ designs [ MR 2170799 ]

Quantum Computing [ MR 2164873 ]

Edgar Feldman and Mark Hillery  Quantum walks on graphs and quantum scattering theory [ MR 2170800 ]

Samuel J. Lomonaco, Jr. and Louis H. Kauffman  A continuous variable Shor algorithm [ MR 2170801 ]

S. J. van Enk  Entangled states of light [ MR 2170802 ]

L. Viola, H. Barnum, E. Knill, G. Ortiz and R. Somma  Entanglement beyond subsystems [ MR 2170803 ]

Anocha Yimsiriwattana and Samuel J. Lomonaco, Jr.  Generalized GHZ states and distributed quantum computing [ MR 2170804 ]