中国物理B ›› 2017, Vol. 26 ›› Issue (5): 50301-050301.doi: 10.1088/1674-1056/26/5/050301

• GENERAL • 上一篇    下一篇

Comparative analysis of entanglement measures based on monogamy inequality

P J Geetha, Sudha, K S Mallesh   

  1. 1 Department of Physics, Kuvempu University, Shankaraghatta, Shimoga-577 451, India;
    2 Inspire Institute Inc., Alexandria, Virginia 22303, USA;
    3 Department of Studies in Physics, University of Mysore, Mysore-570 006, India
  • 收稿日期:2016-11-24 修回日期:2017-02-01 出版日期:2017-05-05 发布日期:2017-05-05
  • 通讯作者: Sudha E-mail:arss@rediffmail.com

Comparative analysis of entanglement measures based on monogamy inequality

P J Geetha1, Sudha1,2, K S Mallesh3   

  1. 1 Department of Physics, Kuvempu University, Shankaraghatta, Shimoga-577 451, India;
    2 Inspire Institute Inc., Alexandria, Virginia 22303, USA;
    3 Department of Studies in Physics, University of Mysore, Mysore-570 006, India
  • Received:2016-11-24 Revised:2017-02-01 Online:2017-05-05 Published:2017-05-05
  • Contact: Sudha E-mail:arss@rediffmail.com

摘要: We evaluate the monogamy inequality for symmetric, non-symmetric pure states of importance in terms of squared concurrence, squared entanglement of formation, squared negativity of partial transpose and compare the corresponding tangles. We show that though concurrence and concurrence tangle are zero for two special classes of mixed entangled states, both negativity tangle and entanglement of formation (EOF) tangle turn out to be non-zero. A comparison of different tangles is carried out in each case and it is shown that while the concurrence tangle captures the genuine multiqubit entanglement in N-qubit pure states with N distinct spinors (containing GHZ and superposition of W-, obverse W states) either negativity tangle or EOF tangle is to be used as a better measure of entanglement in the W-class of states with two distinct spinors and in the special classes of mixed multiqubit states.

关键词: monogamy of quantum entanglement, concurrence tangle, negativity tangle, Majorana representation of symmetric pure states

Abstract: We evaluate the monogamy inequality for symmetric, non-symmetric pure states of importance in terms of squared concurrence, squared entanglement of formation, squared negativity of partial transpose and compare the corresponding tangles. We show that though concurrence and concurrence tangle are zero for two special classes of mixed entangled states, both negativity tangle and entanglement of formation (EOF) tangle turn out to be non-zero. A comparison of different tangles is carried out in each case and it is shown that while the concurrence tangle captures the genuine multiqubit entanglement in N-qubit pure states with N distinct spinors (containing GHZ and superposition of W-, obverse W states) either negativity tangle or EOF tangle is to be used as a better measure of entanglement in the W-class of states with two distinct spinors and in the special classes of mixed multiqubit states.

Key words: monogamy of quantum entanglement, concurrence tangle, negativity tangle, Majorana representation of symmetric pure states

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.67.Bg (Entanglement production and manipulation)