Download e-book for kindle: Advances in Quantum Computation: Representation Theory, by Kazem Mahdavi, Deborah Koslover

By Kazem Mahdavi, Deborah Koslover

ISBN-10: 0821846272

ISBN-13: 9780821846278

This quantity represents the talks given on the convention on Interactions among illustration concept, Quantum box idea, type thought, Mathematical Physics, and Quantum info conception, held in September 2007 on the collage of Texas at Tyler. The papers during this quantity, written through most sensible specialists within the box, tackle actual facets, mathematical elements, and foundational problems with quantum computation. This quantity will profit researchers drawn to advances in quantum computation and conversation, in addition to graduate scholars who desire to input the sector of quantum computation

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

Sample text

Aravind [11] observed that there are natural similarities between quantum entanglements and topological entanglements. As a unitary braid has the power of detecting knots or links, it can often transform a separate quantum state into an entangled one. Kauffman and Lomonaco [12, 13] identified a nontrivial unitary braid representation with a universal quantum gate [14]. Recently, a series of papers have been published on the application of the braid group [10] (or the Yang–Baxter equation [15, 16]) to quantum information and computation, see [13, 17, 18] for unitary solutions of the Yang–Baxter equation as universal quantum gates; see [19, 20, 21] for quantum topology and quantum computation; see 1991 Mathematics Subject Classification.

K. Lo (Wiley-VCH, 2001), 155–173. P. DiVincenzo, Two-bit quantum gates are universal for quantum computation, Phys. Rev. A 51(1995), 1015–1022. [14] W. Hansel, J. Reichel, P. W. Hansch, Trapped-atom interferometer in magnetic microtrap, Phys. Rev. A 64(2001), 063607. [15] D. J. 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.

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Advances in Quantum Computation: Representation Theory, Quantum Field Theory, Category Theory, Mathematical Physics, September 20-23, 2007, University of Texas at Tyler by Kazem Mahdavi, Deborah Koslover


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