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.
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