60 citations · 69 across the 4 of their papers we have counts for
8 papers
Reflection positivity, rank connectivity, and homomorphism of graphs
M. Freedman, L. Lovasz, A. Schrijver
It is shown that a graph parameter can be realized as the number of homomorphisms into a fixed (weighted) graph if and only if it satisfies two linear algebraic conditions: reflect…
An extended Hubbard model with ring exchange: a route to a non-Abelian topological phase
Michael Freedman, Chetan Nayak, Kirill Shtengel
We propose an extended Hubbard model on a 2D Kagome lattice with an additional ring-exchange term. The particles can be either bosons or spinless fermions . At a special filling fr…
Non-Abelian topological phases in an extended Hubbard model
Michael Freedman, Chetan Nayak, Kirill Shtengel
We describe four closely related Hubbard-like models (models A, B, C and D) of particles that can hop on a 2D Kagome lattice interacting via Coulomb repulsion. The particles can be…
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…