Apr 6, 2000
Quantum Computation and the Localization of Modular Functors
Dr. Michael Freedman, Microsoft
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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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