400 citations · 469 across the 5 of their papers we have counts for
4 papers · 1 filter
Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
Sankar Das Sarma, Michael Freedman, Chetan Nayak
The Pfaffian state is an attractive candidate for the observed quantized Hall plateau at Landau level filling fraction . This is particularly intriguing because this state h…
On the asymptotics of quantum SU(2) representations of mapping class groups
Michael Freedman, Vyacheslav Krushkal
We investigate the rigidity and asymptotic properties of quantum SU(2) representations of mapping class groups. In the spherical braid group case the trivial representation is not…
A Line of Critical Points in 2+1 Dimensions: Quantum Critical Loop Gases and Non-Abelian Gauge Theory
Michael Freedman, Chetan Nayak, Kirill Shtengel
We (1) construct a one-parameter family of lattice models of interacting spins; (2) obtain their exact ground states; (3) derive a statistical-mechanical analogy which relates thei…
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…