Genuine entanglement under squeezed generalized amplitude damping channels with memory

doi:10.1088/1674-1056/ace15f

中国物理B ›› 2024, Vol. 33 ›› Issue (2): 20307-020307.doi: 10.1088/1674-1056/ace15f

Genuine entanglement under squeezed generalized amplitude damping channels with memory

Mazhar Ali^†

Department of Electrical Engineering, Faculty of Engineering, Islamic University Madinah, Madinah 107, Saudi Arabia

收稿日期:2023-05-03 修回日期:2023-06-14 接受日期:2023-06-25 出版日期:2024-01-16 发布日期:2024-01-16
通讯作者: Mazhar Ali E-mail:mazharaliawan@yahoo.com

Genuine entanglement under squeezed generalized amplitude damping channels with memory

Mazhar Ali^†

Department of Electrical Engineering, Faculty of Engineering, Islamic University Madinah, Madinah 107, Saudi Arabia

Received:2023-05-03 Revised:2023-06-14 Accepted:2023-06-25 Online:2024-01-16 Published:2024-01-16
Contact: Mazhar Ali E-mail:mazharaliawan@yahoo.com

摘要/Abstract

摘要： We study genuine entanglement among three qubits undergoing a noisy process that includes dissipation, squeezing, and decoherence. We obtain a general solution and analyze the asymptotic quantum states. We find that most of these asymptotic states can be genuinely entangled depending upon the parameters of the channel, memory parameter, and the parameters of the initial states. We study Greenberger-Horne-Zeilinger (GHZ) states and ${W}$ states, mixed with white noise, and determine the conditions for them to be genuinely entangled at infinity. We find that for these mixtures, it is possible to start with a bi-separable state (with a specific mixture of white noise) and end with genuine entangled states. However, the memory parameter $\mu$ must be very high. We find that in contrast to the two-qubit case, none of the three-qubit asymptotic states for $n \to \infty$ are genuinely entangled.

关键词: genuine entanglement, squeezed thermal baths, multipartite states

Abstract: We study genuine entanglement among three qubits undergoing a noisy process that includes dissipation, squeezing, and decoherence. We obtain a general solution and analyze the asymptotic quantum states. We find that most of these asymptotic states can be genuinely entangled depending upon the parameters of the channel, memory parameter, and the parameters of the initial states. We study Greenberger-Horne-Zeilinger (GHZ) states and ${W}$ states, mixed with white noise, and determine the conditions for them to be genuinely entangled at infinity. We find that for these mixtures, it is possible to start with a bi-separable state (with a specific mixture of white noise) and end with genuine entangled states. However, the memory parameter $\mu$ must be very high. We find that in contrast to the two-qubit case, none of the three-qubit asymptotic states for $n \to \infty$ are genuinely entangled.

Key words: genuine entanglement, squeezed thermal baths, multipartite states

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

03.65.Ud (Entanglement and quantum nonlocality) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)

Mazhar Ali. Genuine entanglement under squeezed generalized amplitude damping channels with memory[J]. 中国物理B, 2024, 33(2): 20307-020307.

Mazhar Ali. Genuine entanglement under squeezed generalized amplitude damping channels with memory[J]. Chin. Phys. B, 2024, 33(2): 20307-020307.

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Genuine entanglement under squeezed generalized amplitude damping channels with memory

Genuine entanglement under squeezed generalized amplitude damping channels with memory

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