Skein theory and topological quantum registers: Braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states

Autor:	Kazuhiro Hikami
Rok vydání:	2008
Předmět:	Physics Quantum Physics Fibonacci number Anyon FOS: Physical sciences General Physics and Astronomy Pfaffian Quantum entanglement Quantum Hall effect Topology Effective field theory Abelian group Quantum Physics (quant-ph) Quantum
Zdroj:	Annals of Physics. 323:1729-1769
ISSN:	0003-4916
Popis:	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. Comment: 42 pages, many eps files
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a40ade1b39be5cccdf7e8cf4794142e9 https://doi.org/10.1016/j.aop.2007.10.002 Zobrazit plný text záznamu Full Text from ScienceDirect