期刊文献+

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

Qubit Approach to the Topological Degeneracy of 4 and 6-Quasihole Pfaffian Paired Hall State
原文传递
导出
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.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 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
关键词 paired quantum Hall state qubit representation braiding matrix 量子比特 拓扑 退化 矩阵构造 埃尔米特 状态 量子位 波函数
  • 相关文献

参考文献22

  • 1R.B. Laughlin, Phys. Rev. Lett. 50 (1983) 1395.
  • 2F.D.M. Haldane, Phys. Rev. Lett. 51 (1983) 605.
  • 3B.I. Halperin, ibid. 52 (1984) 1583.
  • 4G. Moore and N. Read, Nucl. Phys. B 360 (1991) 362.
  • 5J.K. Jain, Phys. Rev. Lett. 63 (1989) 199.
  • 6Phys. Rev. B 41 (1990) 7653.
  • 7N. Read and E. Rezayi, Phys. Rev. B 59 (1999) 8080.
  • 8S.H. Simon, E.H. Rezayi, N.R. Cooper, and I. Berdnikov, ibid. 75 (2007) 075317.
  • 9A.Y. Kitaev, Ann. Phys. 303 (2003) 2.
  • 10J. Preskill, 2004, Lecture Notes for Physics 219: Quantum Computation, available at: http://www.theory.caltech. edu/preskill/ph219/index.html.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部