Cross disciplinary advances in quantum computing : NSF sponsored research Conference on Representation Theory, Quantum Field Theory, Category Theory, and Quantum Information Theory, October 14, 2009, University of Texas at Tyler, Tyler, Texas - Providence, R.I. : American Mathematical Society, c2011 - 1 online resource (vii, 152 p. : ill.) - Contemporary mathematics v. 536 10983627 .

Includes bibliographical references.

Cartan decomposition and entangling power of braiding quantum gates ; A unified approach to universality for three distinct types of 2qubit quantum computing devices ; Efficient algorithm for a quantum analogue of 2SAT ; Quantum computational curvature and Jacobi fields ; A quantum model for the Jones polynomial, Khovanov homology and generalized simplicial homology ; Oriented quantum algebras and coalgebras, invariants of oriented 11 tangles, knots and links ; Space and time lattices in frame fields of quantum representations of real and complex numbers A D Ballard and YongShi Wu ; Goong Chen Viswanath Ramakrishna and Zhigang Zhang ; Sergey Bravyi ; Howard E Brandt ; Louis H Kauffman ; Louis H Kauffman and David E Radford ; Paul Benioff

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