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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 |
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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.
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Received: 03 May 2023
Revised: 14 June 2023
Accepted manuscript online: 25 June 2023
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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Corresponding Authors:
Mazhar Ali
E-mail: mazharaliawan@yahoo.com
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Cite this article:
Mazhar Ali Genuine entanglement under squeezed generalized amplitude damping channels with memory 2024 Chin. Phys. B 33 020307
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