Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Interacting anyons in topological quantum liquids: the golden chain.

- A. Feiguin, S. Trebst,
+4 authors M. Freedman - PhysicsPhysical review letters
- 13 December 2006

TLDR

Topological Quantum Computation

- M. Freedman, A. Kitaev, M. Larsen, Zhenghan Wang
- Physics
- 4 January 2001

The theory of quantum computation can be constructed from the abstract study of anyonic systems. In mathematical terms, these are unitary topological modular functors. They underlie the Jones poly-… Expand

A Modular Functor Which is Universal¶for Quantum Computation

- M. Freedman, M. Larsen, Zhenghan Wang
- Physics
- 29 January 2000

Abstract:We show that the topological modular functor from Witten–Chern–Simons theory is universal for quantum computation in the sense that a quantum circuit computation can be efficiently… Expand

On Classification of Modular Tensor Categories

- Eric C. Rowell, R. Stong, Zhenghan Wang
- Mathematics
- 9 December 2007

We classify all unitary modular tensor categories (UMTCs) of rank ≤ 4. There are a total of 35 UMTCs of rank ≤ 4 up to ribbon tensor equivalence. Since the distinction between the modular S-matrix S… Expand

Simulation of Topological Field Theories¶by Quantum Computers

- M. Freedman, A. Kitaev, Zhenghan Wang
- Physics
- 20 January 2000

Abstract: Quantum computers will work by evolving a high tensor power of a small (e.g. two) dimensional Hilbert space by local gates, which can be implemented by applying a local Hamiltonian H for a… Expand

Symmetry fractionalization, defects, and gauging of topological phases

- M. Barkeshli, Parsa Bonderson, M. Cheng, Zhenghan Wang
- MathematicsPhysical Review B
- 16 October 2014

We examine the interplay of symmetry and topological order in $2+1$ dimensional topological phases of matter. We present a definition of the topological symmetry group, which characterizes the… Expand

The Two-Eigenvalue Problem and Density¶of Jones Representation of Braid Groups

- M. Freedman, M. Larsen, Zhenghan Wang
- Mathematics
- 28 March 2001

Introduction
1. The two-eigenvalue problem
2. Hecke algebra representations of braid groups
3. Duality of Jones-Wenzl representations
4. Closed images of Jones-Wenzl sectors
5. Distribution of… Expand

Fracton Models on General Three-Dimensional Manifolds

- Wilbur E. Shirley, K. Slagle, Zhenghan Wang, Xie Chen
- MathematicsPhysical Review X
- 16 December 2017

Fracton models, a collection of exotic gapped lattice Hamiltonians recently discovered in three spatial dimensions, contain some 'topological' features: they support fractional bulk excitations… Expand

(3+1)-TQFTs and topological insulators

- K. Walker, Zhenghan Wang
- Mathematics
- 13 April 2011

Levin-Wen models are microscopic spin models for topological phases of matter in (2+1)-dimension. We introduce a generalization of such models to (3 + 1)-dimension based on unitary braided fusion… Expand

...

1

2

3

4

5

...