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Softcover ISBN:  9780821849750 
Product Code:  CONM/536 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821882153 
Product Code:  CONM/536.E 
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AMS Member Price:  $100.00 
Softcover ISBN:  9780821849750 
eBook ISBN:  9780821882153 
Product Code:  CONM/536.B 
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Book DetailsContemporary MathematicsVolume: 536; 2011; 152 ppMSC: Primary 81
This volume contains a collection of papers, written by physicists, computer scientists, and mathematicians, from the Conference on Representation Theory, Quantum Field Theory, Category Theory, and Quantum Information Theory, which was held at the University of Texas at Tyler from October 1–4, 2009.
Quantum computing is a field at the interface of the physical sciences, computer sciences and mathematics. As such, advances in one field are often overlooked by practitioners in other fields. This volume brings together articles from each of these areas to make students, researchers and others interested in quantum computation aware of the most current advances. It is hoped that this work will stimulate future advances in the field.
ReadershipGraduate students and research mathematicians interested in quantum computing.

Table of Contents

Articles

A. D. Ballard and YongShi Wu — Cartan decomposition and entangling power of braiding quantum gates

Goong Chen, Viswanath Ramakrishna and Zhigang Zhang — A unified approach to universality for three distinct types of 2qubit quantum computing devices

Sergey Bravyi — Efficient algorithm for a quantum analogue of 2SAT

Howard E. Brandt — Quantum computational curvature and Jacobi fields

Louis H. Kauffman — A quantum model for the Jones polynomial, Khovanov homology and generalized simplicial homology

Louis H. Kauffman and David E. Radford — Oriented quantum algebras and coalgebras, invariants of oriented 11 tangles, knots and links

Paul Benioff — Space and time lattices in frame fields of quantum representations of real and complex numbers


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This volume contains a collection of papers, written by physicists, computer scientists, and mathematicians, from the Conference on Representation Theory, Quantum Field Theory, Category Theory, and Quantum Information Theory, which was held at the University of Texas at Tyler from October 1–4, 2009.
Quantum computing is a field at the interface of the physical sciences, computer sciences and mathematics. As such, advances in one field are often overlooked by practitioners in other fields. This volume brings together articles from each of these areas to make students, researchers and others interested in quantum computation aware of the most current advances. It is hoped that this work will stimulate future advances in the field.
Graduate students and research mathematicians interested in quantum computing.

Articles

A. D. Ballard and YongShi Wu — Cartan decomposition and entangling power of braiding quantum gates

Goong Chen, Viswanath Ramakrishna and Zhigang Zhang — A unified approach to universality for three distinct types of 2qubit quantum computing devices

Sergey Bravyi — Efficient algorithm for a quantum analogue of 2SAT

Howard E. Brandt — Quantum computational curvature and Jacobi fields

Louis H. Kauffman — A quantum model for the Jones polynomial, Khovanov homology and generalized simplicial homology

Louis H. Kauffman and David E. Radford — Oriented quantum algebras and coalgebras, invariants of oriented 11 tangles, knots and links

Paul Benioff — Space and time lattices in frame fields of quantum representations of real and complex numbers