Qubit Approach to the Topological Degeneracy of 4 and 6-Quasihole Pfaffian Paired Hall State  

作　　者：崔海涛 田俊龙 杨癸 

机构地区：[1]School of Physics and Electric Engineering, Anyang Normal University

出　　处：《Communications in Theoretical Physics》2015年第1期45-50,共6页理论物理通讯（英文版）

基　　金：Supported by National Natural Science Foundation of China under Grant Nos.11005002 and 11005003;New Century Excellent Talent of M.O.E(NCET-11-0937);Sponsoring Program of Excellent Younger Teachers in universities in Henan Province of China under Grant No.2010GGJS-181

摘　　要：By virtue of the two-layer picture of Pfatfian pair Hall state, a qubit representation of topological degeneracy for quasiholes excitation is displayed. The non-Abelian feature of states can be manifested readily by the new wave functions. The virtue of this approach is that one does not need to find the equalities of Pfalfians, which is a so tedious task as exemplified for the case of six quasiholes. Then the braiding matrices are also constructed readily by just permutating single-qubit states, which are unitary and hermite.

关 键 词：paired quantum Hall state qubit representation braiding matrix 

分 类 号：O411[理学—理论物理]