Monogamous nature of symmetric N-qubit states of the W class: Concurrence and negativity tangle

doi:10.1088/1674-1056/24/11/110302

中国物理B ›› 2015, Vol. 24 ›› Issue (11): 110302-110302.doi: 10.1088/1674-1056/24/11/110302

Monogamous nature of symmetric N-qubit states of the W class: Concurrence and negativity tangle

P. J. Geetha^a, K. O. Yashodamma^a, Sudha^{a b}

a Department of Physics, Kuvempu University, Shankaraghatta, Shimoga-577 451, India;
b Inspire Institute Inc., Alexandria, Virginia 22303, USA

收稿日期:2015-03-19 修回日期:2015-06-12 出版日期:2015-11-05 发布日期:2015-11-05
通讯作者: Sudha E-mail:arss@rediffmail.com
基金资助:
Project supported by Department of Science and Technology, Government of India through the award of INSPIRE fellowship.

Monogamous nature of symmetric N-qubit states of the W class: Concurrence and negativity tangle

P. J. Geetha^a, K. O. Yashodamma^a, Sudha^{a b}

a Department of Physics, Kuvempu University, Shankaraghatta, Shimoga-577 451, India;
b Inspire Institute Inc., Alexandria, Virginia 22303, USA

Received:2015-03-19 Revised:2015-06-12 Online:2015-11-05 Published:2015-11-05
Contact: Sudha E-mail:arss@rediffmail.com
Supported by:
Project supported by Department of Science and Technology, Government of India through the award of INSPIRE fellowship.

摘要/Abstract

摘要： Using Majorana representation of symmetric N-qubit pure states, we have examined the monogamous nature of the family of states with two-distinct spinors, the W class of states. We have evaluated the N-concurrence tangle and showed that all the states in this family have vanishing concurrence tangle. The negativity tangle for the W class of states is shown to be non-zero, illustrating the fact that the concurrence tangle is always lesser than or equal to the negativity tangle in a pure N-qubit state.

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

Abstract: Using Majorana representation of symmetric N-qubit pure states, we have examined the monogamous nature of the family of states with two-distinct spinors, the W class of states. We have evaluated the N-concurrence tangle and showed that all the states in this family have vanishing concurrence tangle. The negativity tangle for the W class of states is shown to be non-zero, illustrating the fact that the concurrence tangle is always lesser than or equal to the negativity tangle in a pure N-qubit state.

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

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Bg (Entanglement production and manipulation)

P. J. Geetha, K. O. Yashodamma, Sudha. Monogamous nature of symmetric N-qubit states of the W class: Concurrence and negativity tangle[J]. 中国物理B, 2015, 24(11): 110302-110302.

P. J. Geetha, K. O. Yashodamma, Sudha. Monogamous nature of symmetric N-qubit states of the W class: Concurrence and negativity tangle[J]. Chin. Phys. B, 2015, 24(11): 110302-110302.

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Monogamous nature of symmetric N-qubit states of the W class: Concurrence and negativity tangle

Monogamous nature of symmetric N-qubit states of the W class: Concurrence and negativity tangle

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