229 citations · 827 across the 21 of their papers we have counts for
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Tilted Interferometry Realizes Universal Quantum Computation in the Ising TQFT without Overpasses
Michael Freedman, Chetan Nayak, Kevin Walker
We show how a universal gate set for topological quantum computation in the Ising TQFT, the non-Abelian sector of the putative effective field theory of the fractional quan…
Towards Universal Topological Quantum Computation in the Fractional Quantum Hall State
Michael Freedman, Chetan Nayak, Kevin Walker
The Pfaffian state, which may describe the quantized Hall plateau observed at Landau level filling fraction , can support topologically-protected qubits with extremely low…
Universal manifold pairings and positivity
Michael H Freedman, Alexei Kitaev, Chetan Nayak +3
Gluing two manifolds M_1 and M_2 with a common boundary S yields a closed manifold M. Extending to formal linear combinations x=Sum_i(a_i M_i) yields a sesquilinear pairing p=<,> w…