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Chin. Phys. B, 2019, Vol. 28(7): 070301    DOI: 10.1088/1674-1056/28/7/070301
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Tetrapartite entanglement measures of W-class in noninertial frames

Ariadna J. Torres-Arenas1, Edgar O. López-Zúñiga1,2, J. Antonio Saldaña-Herrera1,2, Qian Dong1, Guo-Hua Sun3, Shi-Hai Dong1
1 Laboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM, CDMX 07700, Mexico;
2 Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Nuevo León, San Nicolás de los Garza NL, 66450, Mexico;
3 Catedrática CONACyT, Centro de Investigación en Computación, Instituto Politécnico Nacional, UPALM, CDMX 07738, Mexico
Abstract  

We present the entanglement measures of a tetrapartite W-class entangled system in a noninertial frame, where the transformation between Minkowski and Rindler coordinates is applied. Two cases are considered. First, when one qubit has uniform acceleration whilst the other three remain stationary. Second, when two qubits have nonuniform accelerations and the others stay inertial. The 1-1 tangle, 1-3 tangle, and whole entanglement measurements π4 and Π4, are studied and illustrated with graphics through their dependence on the acceleration parameter rd for the first case and rc and rd for the second case. It is found that the negativities (1-1 tangle and 1-3 tangle) and π-tangle decrease when the acceleration parameter rd or in the second case rc and rd increase, remaining a nonzero entanglement in the majority of the results. This means that the system will be always entangled except for special cases. It is shown that only the 1-1 tangle for the first case vanishes at infinite accelerations, but for the second case the 1-1 tangle disappears completely when r>0.472473. An analytical expression for the von Neumann information entropy of the system is found and we note that it increases with the acceleration parameter.

Keywords:  W-class      tetrapartite entanglement      Dirac field      noninertial frames      nonuniform acceleration  
Received:  27 March 2019      Revised:  17 April 2019      Accepted manuscript online: 
PACS:  03.67.-a (Quantum information)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
  03.65.Ud (Entanglement and quantum nonlocality)  
  04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics)  
Fund: 

Project partially supported by the CONACYT, Mexico under the Grant No. 288856-CB-2016, partially by 20190234-SIP-IPN, Mexico, and partially by the program XXVIII Verano de la Investigación Científica 2018 supported by the Academia Mexicana de Ciencias.

Corresponding Authors:  Shi-Hai Dong     E-mail:  dongsh2@yahoo.com

Cite this article: 

Ariadna J. Torres-Arenas, Edgar O. López-Zúñiga, J. Antonio Saldaña-Herrera, Qian Dong, Guo-Hua Sun, Shi-Hai Dong Tetrapartite entanglement measures of W-class in noninertial frames 2019 Chin. Phys. B 28 070301

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