Quantum scheme of dissipative two qubits in a squeezed field: Entanglement and Fisher information

A clear relationship between the quantum version of Fisher information and the bipartite system entanglement has been explored recently. Known existing results for some quantum systems having strongly nonlocal correlations are still limited. In this paper, based on the interaction between a two-qubi...

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Main Authors: S. Abdel-Khalek, E.M. Khalil, Hammad Alotaibi, S.M. Abo-Dahab, Emad E. Mahmoud, M. Higazy
Format: Article
Language:English
Published: Elsevier 2021-06-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S111001682100079X
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author S. Abdel-Khalek
E.M. Khalil
Hammad Alotaibi
S.M. Abo-Dahab
Emad E. Mahmoud
M. Higazy
author_facet S. Abdel-Khalek
E.M. Khalil
Hammad Alotaibi
S.M. Abo-Dahab
Emad E. Mahmoud
M. Higazy
author_sort S. Abdel-Khalek
collection DOAJ
description A clear relationship between the quantum version of Fisher information and the bipartite system entanglement has been explored recently. Known existing results for some quantum systems having strongly nonlocal correlations are still limited. In this paper, based on the interaction between a two-qubit and squeezed field, we investigate the correlation between the dynamical behavior of qubit-qubit entanglement and the quantum Fisher information (QFI). We focus on the effect of a number of photon multiplicity, low and high squeezing regime of the field on the dynamics of the QFI and entanglement quantifier. We show how the QFI and entanglement quantifier can be affected by the number of photon multiplicity and squeeze parameter during the time evolution of cases of absence and presence of dissipation effect. Our results exhibit the correlation between the entanglement quantifiers and the QFI with respect to the appearance of collapse and revival phenomena of the atomic inversion.
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spelling doaj.art-83c36a941a864177a9a8ca401361f77d2022-12-21T21:27:55ZengElsevierAlexandria Engineering Journal1110-01682021-06-0160334113417Quantum scheme of dissipative two qubits in a squeezed field: Entanglement and Fisher informationS. Abdel-Khalek0E.M. Khalil1Hammad Alotaibi2S.M. Abo-Dahab3Emad E. Mahmoud4M. Higazy5Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia; Corresponding author.Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Computer Science, Faculty of Computers and Information, Luxor University, Egypt; Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, EgyptDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaA clear relationship between the quantum version of Fisher information and the bipartite system entanglement has been explored recently. Known existing results for some quantum systems having strongly nonlocal correlations are still limited. In this paper, based on the interaction between a two-qubit and squeezed field, we investigate the correlation between the dynamical behavior of qubit-qubit entanglement and the quantum Fisher information (QFI). We focus on the effect of a number of photon multiplicity, low and high squeezing regime of the field on the dynamics of the QFI and entanglement quantifier. We show how the QFI and entanglement quantifier can be affected by the number of photon multiplicity and squeeze parameter during the time evolution of cases of absence and presence of dissipation effect. Our results exhibit the correlation between the entanglement quantifiers and the QFI with respect to the appearance of collapse and revival phenomena of the atomic inversion.http://www.sciencedirect.com/science/article/pii/S111001682100079XQuantum Fisher informationEntanglement quantifierTwo qubitsLow and high squeezing regime
spellingShingle S. Abdel-Khalek
E.M. Khalil
Hammad Alotaibi
S.M. Abo-Dahab
Emad E. Mahmoud
M. Higazy
Quantum scheme of dissipative two qubits in a squeezed field: Entanglement and Fisher information
Alexandria Engineering Journal
Quantum Fisher information
Entanglement quantifier
Two qubits
Low and high squeezing regime
title Quantum scheme of dissipative two qubits in a squeezed field: Entanglement and Fisher information
title_full Quantum scheme of dissipative two qubits in a squeezed field: Entanglement and Fisher information
title_fullStr Quantum scheme of dissipative two qubits in a squeezed field: Entanglement and Fisher information
title_full_unstemmed Quantum scheme of dissipative two qubits in a squeezed field: Entanglement and Fisher information
title_short Quantum scheme of dissipative two qubits in a squeezed field: Entanglement and Fisher information
title_sort quantum scheme of dissipative two qubits in a squeezed field entanglement and fisher information
topic Quantum Fisher information
Entanglement quantifier
Two qubits
Low and high squeezing regime
url http://www.sciencedirect.com/science/article/pii/S111001682100079X
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