34 citations · 36 across the 4 of their papers we have counts for
8 papers
The N-eigenvalue Problem and Two Applications
Michael Larsen, Eric C. Rowell, Zhenghan Wang
We consider the classification problem for compact Lie groups which are generated by a single conjugacy class with a fixed number of distinct eigenvalues. We gi…
Extraspecial 2-groups and images of braid group representations
Jennifer Franko, Eric C. Rowell, Zhenghan Wang
We investigate a family of (reducible) representations of Artin's braid groups corresponding to a specific solution to the Yang-Baxter equation. The images of the braid groups unde…
Quantum logic as motivated by quantum computing
J. Michael Dunn, Tobias J. Hagge, Lawrence S. Moss +1
We explore a connection between quantum logic and quantum computing.
On Freedman's lattice models for topological phases
James Brink, Zhenghan Wang
Freedman proposes a family of Hamiltonians which define quantum loop gas models on any celluated compact surface. We study the simplest nontrivial cases: celluations of t…
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…
Random Walk on Knot Diagrams, Colored Jones Polynomial and Ihara-Selberg Zeta Function
Xiao-Song Lin, Zhenghan Wang
A model of random walk on knot diagrams is used to study the Alexander polynomial and the colored Jones polynomial of knots. In this context, the inverse of the Alexander polynomia…