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Pentapartite Entanglement Measures of GHZ and W-Class State in the Noninertial Frame

We study both pentapartite GHZ and W-class states in the noninertial frame and explore their entanglement properties by carrying out the negativities including 1-4, 2-3, and 1-1 tangles, the whole entanglement measures such as algebraic and geometric averages [Formula: see text] and [Formula: see te...

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Autores principales: Manríquez Zepeda, Juan Luis, Rueda Paz, Juvenal, Avila Aoki, Manuel, Dong, Shi-Hai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9222046/
https://www.ncbi.nlm.nih.gov/pubmed/35741475
http://dx.doi.org/10.3390/e24060754
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author Manríquez Zepeda, Juan Luis
Rueda Paz, Juvenal
Avila Aoki, Manuel
Dong, Shi-Hai
author_facet Manríquez Zepeda, Juan Luis
Rueda Paz, Juvenal
Avila Aoki, Manuel
Dong, Shi-Hai
author_sort Manríquez Zepeda, Juan Luis
collection PubMed
description We study both pentapartite GHZ and W-class states in the noninertial frame and explore their entanglement properties by carrying out the negativities including 1-4, 2-3, and 1-1 tangles, the whole entanglement measures such as algebraic and geometric averages [Formula: see text] and [Formula: see text] , and von Neumann entropy. We illustrate graphically the difference between the pentapartite GHZ and W-class states. We find that all 1-4, 2-3 tangles and the whole entanglements, which are observer dependent, degrade more quickly as the number of accelerated qubits increases. The entanglements of these quantities still exist even at the infinite acceleration limit. We also notice that all 1-1 tangles of pentapartite GHZ state [Formula: see text] where [Formula: see text] , whereas all 1-1 tangles of the W-class state [Formula: see text] and [Formula: see text] are unequal to zero, e.g., [Formula: see text] but [Formula: see text] and [Formula: see text] disappear at [Formula: see text] and [Formula: see text] , respectively. We notice that the entanglement of the pentapartite GHZ and W-class quantum systems decays faster as the number of accelerated particles increases. Moreover, we also illustrate the difference of von Neumann entropy between them and find that the entropy in the pentapartite W-class state is greater than that of GHZ state. The von Neumann entropy in the pentapartite case is more unstable than those of tripartite and tetrapartite subsystems in the noninertial frame.
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spelling pubmed-92220462022-06-24 Pentapartite Entanglement Measures of GHZ and W-Class State in the Noninertial Frame Manríquez Zepeda, Juan Luis Rueda Paz, Juvenal Avila Aoki, Manuel Dong, Shi-Hai Entropy (Basel) Article We study both pentapartite GHZ and W-class states in the noninertial frame and explore their entanglement properties by carrying out the negativities including 1-4, 2-3, and 1-1 tangles, the whole entanglement measures such as algebraic and geometric averages [Formula: see text] and [Formula: see text] , and von Neumann entropy. We illustrate graphically the difference between the pentapartite GHZ and W-class states. We find that all 1-4, 2-3 tangles and the whole entanglements, which are observer dependent, degrade more quickly as the number of accelerated qubits increases. The entanglements of these quantities still exist even at the infinite acceleration limit. We also notice that all 1-1 tangles of pentapartite GHZ state [Formula: see text] where [Formula: see text] , whereas all 1-1 tangles of the W-class state [Formula: see text] and [Formula: see text] are unequal to zero, e.g., [Formula: see text] but [Formula: see text] and [Formula: see text] disappear at [Formula: see text] and [Formula: see text] , respectively. We notice that the entanglement of the pentapartite GHZ and W-class quantum systems decays faster as the number of accelerated particles increases. Moreover, we also illustrate the difference of von Neumann entropy between them and find that the entropy in the pentapartite W-class state is greater than that of GHZ state. The von Neumann entropy in the pentapartite case is more unstable than those of tripartite and tetrapartite subsystems in the noninertial frame. MDPI 2022-05-26 /pmc/articles/PMC9222046/ /pubmed/35741475 http://dx.doi.org/10.3390/e24060754 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Manríquez Zepeda, Juan Luis
Rueda Paz, Juvenal
Avila Aoki, Manuel
Dong, Shi-Hai
Pentapartite Entanglement Measures of GHZ and W-Class State in the Noninertial Frame
title Pentapartite Entanglement Measures of GHZ and W-Class State in the Noninertial Frame
title_full Pentapartite Entanglement Measures of GHZ and W-Class State in the Noninertial Frame
title_fullStr Pentapartite Entanglement Measures of GHZ and W-Class State in the Noninertial Frame
title_full_unstemmed Pentapartite Entanglement Measures of GHZ and W-Class State in the Noninertial Frame
title_short Pentapartite Entanglement Measures of GHZ and W-Class State in the Noninertial Frame
title_sort pentapartite entanglement measures of ghz and w-class state in the noninertial frame
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9222046/
https://www.ncbi.nlm.nih.gov/pubmed/35741475
http://dx.doi.org/10.3390/e24060754
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