60 citations · 69 across the 4 of their papers we have counts for
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Diameters of Homogeneous Spaces
Michael Freedman, Alexei Kitaev, Jacob Lurie
Let G be a compact connected Lie group with trivial center. Using the action of G on its Lie algebra, we define an operator norm | |_{G} which induces a bi-invariant metric d_G(x,y…
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…
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…
Projective plane and planar quantum codes
Michael H. Freedman, David A. Meyer
Cellulations of the projective plane RP^2 define single qubit topological quantum error correcting codes since there is a unique essential cycle in H_1(RP^2;Z_2). We construct thre…