Schedule Apr 6, 2000
Quantum Computation and the Localization of Modular Functors
Dr. Michael Freedman, Microsoft
The mathematical problem of localizing modular functors to neighborhoods of points is shown to be closely related to the physical problem of engineering a local Hamiltonian for a computationally universal quantum medium. For genus = 0 surfaces, such a local Hamiltonian is mathematically defined. Braiding dislocations of this medium implements a representation associated to the Jones polynomial and this representation is known to be universal for quantum computation.

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