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Chin. Phys. B, 2015, Vol. 24(11): 110302    DOI: 10.1088/1674-1056/24/11/110302
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Monogamous nature of symmetric N-qubit states of the W class: Concurrence and negativity tangle

P. J. Geethaa, K. O. Yashodammaa, Sudhaa b
a Department of Physics, Kuvempu University, Shankaraghatta, Shimoga-577 451, India;
b Inspire Institute Inc., Alexandria, Virginia 22303, USA
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.
Keywords:  monogamy of quantum entanglement      Majorana representation of symmetric pure states      concurrence tangle      negativity tangle  
Received:  19 March 2015      Revised:  12 June 2015      Accepted manuscript online: 
PACS:  03.65.Ud (Entanglement and quantum nonlocality)  
  03.67.Bg (Entanglement production and manipulation)  
Fund: Project supported by Department of Science and Technology, Government of India through the award of INSPIRE fellowship.
Corresponding Authors:  Sudha     E-mail:  arss@rediffmail.com

Cite this article: 

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

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