Download Advances in Quantum Computation: Representation Theory, by Kazem Mahdavi, Deborah Koslover PDF

By Kazem Mahdavi, Deborah Koslover

This quantity represents the talks given on the convention on Interactions among illustration conception, Quantum box thought, class concept, Mathematical Physics, and Quantum details thought, held in September 2007 on the collage of Texas at Tyler. The papers during this quantity, written through best specialists within the box, tackle actual points, mathematical elements, and foundational problems with quantum computation. This quantity will gain researchers attracted to advances in quantum computation and conversation, in addition to graduate scholars who desire to input the sphere 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

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.

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