Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall States
| dc.creator | Hikami, Kazuhiro | |
| dc.date | 2007-09-15 | |
| dc.date.accessioned | 2026-07-07T09:42:58Z | |
| dc.date.available | 2026-07-07T09:42:58Z | |
| dc.description | We study topological properties of quasi-particle states in the non-Abelian quantum Hall states. We apply a skein-theoretic method to the Read--Rezayi state whose effective theory is the SU(2)_K Chern--Simons theory. As a generalization of the Pfaffian (K=2) and the Fibonacci (K=3) anyon states, we compute the braiding matrices of quasi-particle states with arbitrary spins. Furthermore we propose a method to compute the entanglement entropy skein-theoretically. We find that the entanglement entropy has a nontrivial contribution called the topological entanglement entropy which depends on the quantum dimension of non-Abelian quasi-particle intertwining two subsystems. | |
| dc.description | 42 pages, many eps files | |
| dc.identifier | https://arxiv.org/abs/0709.2409 | |
| dc.identifier | http://arxiv.org/abs/0709.2409 | |
| dc.identifier | Annals of Physics 323, 1729-1769 (2008) | |
| dc.identifier | doi:10.1016/j.aop.2007.10.002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162379 | |
| dc.subject | Quantum Physics | |
| dc.title | Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall States | |
| dc.type | text |