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quant-ph2000
Quantum Computation and the localization of Modular Functors
Michael H. Freedman
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 c…
quant-ph2000
A modular functor which is universal for quantum computation
Michael Freedman, Michael Larsen, Zhenghan Wang
We show that the topological modular functor from Witten-Chern-Simons theory is universal for quantum computation in the sense a quantum circuit computation can be efficiently appr…
math.GT2000
Z_2-systolic-freedom
Michael H. Freedman
We give the first example of systolic freedom over torsion coefficients. The phenomenon is a bit unexpected (contrary to a conjecture of Gromov's) and more delicate than systolic f…