By Kazem Mahdavi, Deborah Koslover

This quantity represents the talks given on the convention on Interactions among illustration thought, Quantum box thought, type idea, Mathematical Physics, and Quantum info concept, held in September 2007 on the collage of Texas at Tyler. The papers during this quantity, written by way of best specialists within the box, deal with actual points, mathematical points, and foundational problems with quantum computation. This quantity will gain researchers drawn to advances in quantum computation and communique, in addition to graduate scholars who desire to input the sphere of quantum computation

**Read Online or Download Advances in Quantum Computation: Representation Theory, Quantum Field Theory, Category Theory, Mathematical Physics, September 20-23, 2007, University of Texas at Tyler PDF**

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**Additional resources for Advances in Quantum Computation: Representation Theory, Quantum Field Theory, Category Theory, Mathematical Physics, September 20-23, 2007, University of Texas at Tyler**

**Example text**

I. W. Gardiner, and P. Zoller, Entanglement of atoms via cold controlled collisions, Phys. Rev. Lett 82(1999), 1975 – 1978. A. L. , 2000. [17] J. Normand, A Lie Group: Rotations in Quantum Mechanics, North-Holland, New York, 1980. [18] M. S. , 1997. [19] J. Sebby-Strabley, M. S. V. Porto, Lattice of double wells for manipulating pairs of cold atoms, Phys. Rev. A. 73 (2006), 033605. [20] G. Trigg, Quantum Mechanics, D. Van Nostrand Company, Princeton, New Jersey, 1964. edu ? >D5 = @ ? >CD1>D D?

This page intentionally left blank Contemporary Mathematics Volume 482, 2009 Braid Group, Temperley-Lieb Algebra, and Quantum Information and Computation Yong Zhang Abstract. In this paper, we explore algebraic structures and low dimensional topology underlying quantum information and computation. We revisit quantum teleportation from the perspective of the braid group, the symmetric group and the virtual braid group, and propose the braid teleportation, the teleportation swapping and the virtual braid teleportation, respectively.

Assume that the atom has internal state |β and its external state is in the ground state |ψ0 of a potential well V (r − r β (t)). If the potential moves slow enough, the mass center of the atom will follow the trajectory of the minimum point of the potential well, r β (t), which depends on the internal state β. The kinetic phase change accumulated from −τ to τ is given by φβ = (82) m 2 τ −τ dt(r˙ β )2 . We consider only the interaction phase when the system is originally in state |01 , because this is the only case that collision between two atoms occurs, otherwise the two atoms are far apart.