Effects of classical random external field on the dynamics of entanglement in a four-qubit system

doi:10.1088/1674-1056/ac0bab

中国物理B ›› 2021, Vol. 30 ›› Issue (11): 110310-110310.doi: 10.1088/1674-1056/ac0bab

Effects of classical random external field on the dynamics of entanglement in a four-qubit system

Edwige Carole Fosso^1,2, Fridolin Tchangnwa Nya², Lionel Tenemeza Kenfack¹, and Martin Tchoffo^1,3,†

1 Research Unit of Condensed Matter, Electronic and Signal Processing, Department of Physics, Dschang School of Sciences and Technology, University of Dschang, PO Box:67 Dschang, Cameroon;
2 Material Science Research Group, Physics Laboratory, Department of Physics, Post Graduate School, University of Maroua, PO Box:814 Maroua, Cameroon;
3 Centre d'Etudes et de Recherches en Agronomie et en Biodiversite, Faculte d'Agronomie et des Sciences Agricoles, Universite de Dschang, Cameroun

收稿日期:2021-04-09 修回日期:2021-05-21 接受日期:2021-06-16 出版日期:2021-10-13 发布日期:2021-11-13
通讯作者: Martin Tchoffo E-mail:mtchoffo2000@yahoo.fr

Effects of classical random external field on the dynamics of entanglement in a four-qubit system

Edwige Carole Fosso^1,2, Fridolin Tchangnwa Nya², Lionel Tenemeza Kenfack¹, and Martin Tchoffo^1,3,†

1 Research Unit of Condensed Matter, Electronic and Signal Processing, Department of Physics, Dschang School of Sciences and Technology, University of Dschang, PO Box:67 Dschang, Cameroon;
2 Material Science Research Group, Physics Laboratory, Department of Physics, Post Graduate School, University of Maroua, PO Box:814 Maroua, Cameroon;
3 Centre d'Etudes et de Recherches en Agronomie et en Biodiversite, Faculte d'Agronomie et des Sciences Agricoles, Universite de Dschang, Cameroun

Received:2021-04-09 Revised:2021-05-21 Accepted:2021-06-16 Online:2021-10-13 Published:2021-11-13
Contact: Martin Tchoffo E-mail:mtchoffo2000@yahoo.fr

摘要/Abstract

摘要： We investigate the dynamics of entanglement through negativity and witness operators in a system of four non-interacting qubits driven by a classical phase noisy laser characterized by a classical random external field (CREF). The qubits are initially prepared in the GHZ-type and W-type states and interact with the CREF in two different qubit-field configurations, namely, common environment and independent environments in which the cases of equal and different field phase probabilities are distinguished. We find that entanglement exhibits different decaying behavior, depending on the input states of the qubits, the qubit-field coupling configuration, and field phase probabilities. On the one hand, we demonstrate that the coupling of the qubits in a common environment is an alternative and more efficient strategy to completely shield the system from the detrimental impacts of the decoherence process induced by a CREF, independent of the input state and the field phase probabilities considered. Also, we show that GHZ-type states have strong dynamics under CREF as compared to W-type states. On the other hand, we demonstrate that in the model investigated the system robustness's can be greatly improved by increasing the number of qubits constituting the system.

关键词: entanglement, qubit and classical random external field

Abstract: We investigate the dynamics of entanglement through negativity and witness operators in a system of four non-interacting qubits driven by a classical phase noisy laser characterized by a classical random external field (CREF). The qubits are initially prepared in the GHZ-type and W-type states and interact with the CREF in two different qubit-field configurations, namely, common environment and independent environments in which the cases of equal and different field phase probabilities are distinguished. We find that entanglement exhibits different decaying behavior, depending on the input states of the qubits, the qubit-field coupling configuration, and field phase probabilities. On the one hand, we demonstrate that the coupling of the qubits in a common environment is an alternative and more efficient strategy to completely shield the system from the detrimental impacts of the decoherence process induced by a CREF, independent of the input state and the field phase probabilities considered. Also, we show that GHZ-type states have strong dynamics under CREF as compared to W-type states. On the other hand, we demonstrate that in the model investigated the system robustness's can be greatly improved by increasing the number of qubits constituting the system.

Key words: entanglement, qubit and classical random external field

中图分类号: (Entanglement measures, witnesses, and other characterizations)

03.67.Mn

Edwige Carole Fosso, Fridolin Tchangnwa Nya, Lionel Tenemeza Kenfack, and Martin Tchoffo. Effects of classical random external field on the dynamics of entanglement in a four-qubit system[J]. 中国物理B, 2021, 30(11): 110310-110310.

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Effects of classical random external field on the dynamics of entanglement in a four-qubit system

Effects of classical random external field on the dynamics of entanglement in a four-qubit system

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