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Chin. Phys. B, 2017, Vol. 26(5): 050301    DOI: 10.1088/1674-1056/26/5/050301
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Comparative analysis of entanglement measures based on monogamy inequality

P J Geetha1, Sudha1,2, K S Mallesh3
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
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.
Keywords:  monogamy of quantum entanglement      concurrence tangle      negativity tangle      Majorana representation of symmetric pure states     
Received:  24 November 2016      Published:  05 May 2017
PACS:  03.65.Ud (Entanglement and quantum nonlocality)  
  03.67.Bg (Entanglement production and manipulation)  
Corresponding Authors:  Sudha     E-mail:  arss@rediffmail.com

Cite this article: 

P J Geetha, Sudha, K S Mallesh Comparative analysis of entanglement measures based on monogamy inequality 2017 Chin. Phys. B 26 050301

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