Tetrapartite entanglement measures of W-class in noninertial frames

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. Se...

Descripción completa

Detalles Bibliográficos
Autores principales: Torres Arenas, Ariadna J., López Zúñiga, Edgar O., Saldaña Herrera, J. Antonio, Dong, Qian, Sun, Guo Hua, Dong, Shi Hai
Formato: Artículo
Lenguaje:Spanish / Castilian
Publicado: IOP Publishing 2019
Materias:
Acceso en línea:http://eprints.uanl.mx/29846/1/29846.pdf
_version_ 1859201987962208256
author Torres Arenas, Ariadna J.
López Zúñiga, Edgar O.
Saldaña Herrera, J. Antonio
Dong, Qian
Sun, Guo Hua
Dong, Shi Hai
author_facet Torres Arenas, Ariadna J.
López Zúñiga, Edgar O.
Saldaña Herrera, J. Antonio
Dong, Qian
Sun, Guo Hua
Dong, Shi Hai
author_sort Torres Arenas, Ariadna J.
collection Repositorio Institucional
description 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.
format Article
id eprints-29846
institution UANL
language Spanish / Castilian
publishDate 2019
publisher IOP Publishing
record_format eprints
spelling eprints-298462026-03-06T16:42:10Z http://eprints.uanl.mx/29846/ Tetrapartite entanglement measures of W-class in noninertial frames Torres Arenas, Ariadna J. López Zúñiga, Edgar O. Saldaña Herrera, J. Antonio Dong, Qian Sun, Guo Hua Dong, Shi Hai Q Ciencias en General 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. IOP Publishing 2019 Article PeerReviewed text es cc_by_nc_nd http://eprints.uanl.mx/29846/1/29846.pdf http://eprints.uanl.mx/29846/1.haspreviewThumbnailVersion/29846.pdf Torres Arenas, Ariadna J. y López Zúñiga, Edgar O. y Saldaña Herrera, J. Antonio y Dong, Qian y Sun, Guo Hua y Dong, Shi Hai (2019) Tetrapartite entanglement measures of W-class in noninertial frames. Chinese Physics B, 28 (7). 070301. ISSN 1674-1056 doi:10.1088/1674-1056/28/7/070301
spellingShingle Q Ciencias en General
Torres Arenas, Ariadna J.
López Zúñiga, Edgar O.
Saldaña Herrera, J. Antonio
Dong, Qian
Sun, Guo Hua
Dong, Shi Hai
Tetrapartite entanglement measures of W-class in noninertial frames
thumbnail https://rediab.uanl.mx/themes/sandal5/images/online.png
title Tetrapartite entanglement measures of W-class in noninertial frames
title_full Tetrapartite entanglement measures of W-class in noninertial frames
title_fullStr Tetrapartite entanglement measures of W-class in noninertial frames
title_full_unstemmed Tetrapartite entanglement measures of W-class in noninertial frames
title_short Tetrapartite entanglement measures of W-class in noninertial frames
title_sort tetrapartite entanglement measures of w class in noninertial frames
topic Q Ciencias en General
url http://eprints.uanl.mx/29846/1/29846.pdf
work_keys_str_mv AT torresarenasariadnaj tetrapartiteentanglementmeasuresofwclassinnoninertialframes
AT lopezzunigaedgaro tetrapartiteentanglementmeasuresofwclassinnoninertialframes
AT saldanaherrerajantonio tetrapartiteentanglementmeasuresofwclassinnoninertialframes
AT dongqian tetrapartiteentanglementmeasuresofwclassinnoninertialframes
AT sunguohua tetrapartiteentanglementmeasuresofwclassinnoninertialframes
AT dongshihai tetrapartiteentanglementmeasuresofwclassinnoninertialframes