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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