Quantum Fisher Information of a Teleported State in Heisenberg XYZ Chain With Magnetic Field and Kaplan–Shekhtman–Entin-Wohlman–Aharony Interaction

One of the teleportation versions is applied to convey an entangled two-qubit system via a class of a two-qubit XYZ Heisenberg chain model. At thermal equilibrium, the exact solution of the XYZ model with an external magnetic field and the Kaplan–Shekhtman–Entin-Wohlman&#x2...

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Main Authors: M. Y. Abd-Rabboul, E. M. Khalil, S. Abdel-Khalek, A. Al-Barakaty, Hanaa Abu-Zinadah
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9387295/
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spelling doaj-9ef6414fb6574c58900a2081ed35237d2021-04-07T23:01:01ZengIEEEIEEE Access2169-35362021-01-019513255133110.1109/ACCESS.2021.30691639387295Quantum Fisher Information of a Teleported State in Heisenberg XYZ Chain With Magnetic Field and Kaplan&#x2013;Shekhtman&#x2013;Entin-Wohlman&#x2013;Aharony InteractionM. Y. Abd-Rabboul0https://orcid.org/0000-0003-3197-4724E. M. Khalil1https://orcid.org/0000-0003-0189-845XS. Abdel-Khalek2https://orcid.org/0000-0003-1822-2456A. Al-Barakaty3https://orcid.org/0000-0002-1415-7709Hanaa Abu-Zinadah4Mathematics Department, Faculty of Science, Al-Azhar University, Cairo, EgyptDepartment of Mathematics, College of Science, Taif University, Taif, Saudi ArabiaDepartment of Mathematics, College of Science, Taif University, Taif, Saudi ArabiaPhysics Department, Jamoum University College, Umm Al-Qura University, Makkah, Saudi ArabiaDepartment of Statistics, College of Science, University of Jeddah, Jeddah, Saudi ArabiaOne of the teleportation versions is applied to convey an entangled two-qubit system via a class of a two-qubit XYZ Heisenberg chain model. At thermal equilibrium, the exact solution of the XYZ model with an external magnetic field and the Kaplan&#x2013;Shekhtman&#x2013;Entin-Wohlman&#x2013;Aharony interaction (KSEWA-interaction) is proposed in <inline-formula> <tex-math notation="LaTeX">$X$ </tex-math></inline-formula>, and <inline-formula> <tex-math notation="LaTeX">$Z$ </tex-math></inline-formula> direction. The teleported quantum Fisher information is studied, where we estimate the weight parameter <inline-formula> <tex-math notation="LaTeX">$\theta $ </tex-math></inline-formula>, temperature and the strength parameter of KSEWA-interaction. It is found that, the strength of the KSEWA-interaction and the magnetic field be of benefit in the case of estimating the weight function. Meanwhile, the temperature decreases the teleported information.https://ieeexplore.ieee.org/document/9387295/TeleportationKSEWA-interactionquantum Fisher informationXYZ-Heisenberg modelthermal equilibrium
collection DOAJ
language English
format Article
sources DOAJ
author M. Y. Abd-Rabboul
E. M. Khalil
S. Abdel-Khalek
A. Al-Barakaty
Hanaa Abu-Zinadah
spellingShingle M. Y. Abd-Rabboul
E. M. Khalil
S. Abdel-Khalek
A. Al-Barakaty
Hanaa Abu-Zinadah
Quantum Fisher Information of a Teleported State in Heisenberg XYZ Chain With Magnetic Field and Kaplan&#x2013;Shekhtman&#x2013;Entin-Wohlman&#x2013;Aharony Interaction
IEEE Access
Teleportation
KSEWA-interaction
quantum Fisher information
XYZ-Heisenberg model
thermal equilibrium
author_facet M. Y. Abd-Rabboul
E. M. Khalil
S. Abdel-Khalek
A. Al-Barakaty
Hanaa Abu-Zinadah
author_sort M. Y. Abd-Rabboul
title Quantum Fisher Information of a Teleported State in Heisenberg XYZ Chain With Magnetic Field and Kaplan&#x2013;Shekhtman&#x2013;Entin-Wohlman&#x2013;Aharony Interaction
title_short Quantum Fisher Information of a Teleported State in Heisenberg XYZ Chain With Magnetic Field and Kaplan&#x2013;Shekhtman&#x2013;Entin-Wohlman&#x2013;Aharony Interaction
title_full Quantum Fisher Information of a Teleported State in Heisenberg XYZ Chain With Magnetic Field and Kaplan&#x2013;Shekhtman&#x2013;Entin-Wohlman&#x2013;Aharony Interaction
title_fullStr Quantum Fisher Information of a Teleported State in Heisenberg XYZ Chain With Magnetic Field and Kaplan&#x2013;Shekhtman&#x2013;Entin-Wohlman&#x2013;Aharony Interaction
title_full_unstemmed Quantum Fisher Information of a Teleported State in Heisenberg XYZ Chain With Magnetic Field and Kaplan&#x2013;Shekhtman&#x2013;Entin-Wohlman&#x2013;Aharony Interaction
title_sort quantum fisher information of a teleported state in heisenberg xyz chain with magnetic field and kaplan&#x2013;shekhtman&#x2013;entin-wohlman&#x2013;aharony interaction
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2021-01-01
description One of the teleportation versions is applied to convey an entangled two-qubit system via a class of a two-qubit XYZ Heisenberg chain model. At thermal equilibrium, the exact solution of the XYZ model with an external magnetic field and the Kaplan&#x2013;Shekhtman&#x2013;Entin-Wohlman&#x2013;Aharony interaction (KSEWA-interaction) is proposed in <inline-formula> <tex-math notation="LaTeX">$X$ </tex-math></inline-formula>, and <inline-formula> <tex-math notation="LaTeX">$Z$ </tex-math></inline-formula> direction. The teleported quantum Fisher information is studied, where we estimate the weight parameter <inline-formula> <tex-math notation="LaTeX">$\theta $ </tex-math></inline-formula>, temperature and the strength parameter of KSEWA-interaction. It is found that, the strength of the KSEWA-interaction and the magnetic field be of benefit in the case of estimating the weight function. Meanwhile, the temperature decreases the teleported information.
topic Teleportation
KSEWA-interaction
quantum Fisher information
XYZ-Heisenberg model
thermal equilibrium
url https://ieeexplore.ieee.org/document/9387295/
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