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Oxford Quantum Talks Archive

Categories and quantum computating with anyons

Eric Paquette, McGill University
Logic, Physics and Quantum Information Theory, March 2008, Bellairs Research Centre

During this talk I will present the categorical structures necessary to describe anyons; more precisely, the structures that capture the concepts of charges, braids, twist and fusion rules together with the way these structures are used to translate the kinematics of the anyons into the Hilbert space language used to describe quantum computation. We will also present one of the simplest models of non-abelian anyons, the Fibonacci anyons, and explain how to build a set of gates which is universal for quantum computation within this model.

[video] [streaming video]