Journal of Quantum Optics, Volume. 29, Issue 3, 30802(2023)

Quantum Discord in Memory Pauli Channel

XUE Dan1, BAI Ming-qiang2, GUO Ji-hong1, and YANG Zhen1
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    Correlation is a universal phenomenon of the quantum world. Quantum correlations are used widely in quantum information science, such as quantum coding, quantum key distribution and quantum teleportation. Besides, they play a nonnegligiblerole in quantum communication and information processing. Hitherto, some quantum correlations have been proposed successively.Quantum discord proposed by Ollivier and Zurek is a valuable quantum resource and has wide applications in physical models,quantum calculations, quantum state broadcasting, as well as quantum metrology.However, the quantum system will interact with the environment, and the correlation of the quantum states will be affected bythe environment. This interaction can be described by the quantum noise channel. The study of quantum noise channels is mainlydivided into Markov channels and non-Markov channels, and the difference is whether the memory environment is described.Moreover, a lot of work has been done to make the comparison between quantum discord and entanglement under decoherence.These studies suggest that disentanglement may suddenly occur, when a quantum system with quantum correlations is exposedto a noisy channel, but quantum discord mostly decays over time. This points to the controversial fact that quantum discord maybe stronger than entanglement in opposing decoherence. In a sense, quantum discord is a more general quantum resource thanquantum entanglement, which provides a new development prospect for quantum information processing.The Pauli memory channel is a commonly used channel. The use of each channel in the memory channel is directly orindirectly in?uenced by the previous channel, resulting in correlation effects between the particles. It is found that the correlationeffects in the memory channels can improve the quantum capacity. The Werner states are widely used in quantum protocols, andthese studies all exploit the rich quantum correlations of the Werner states. However, the interference from the environment willaffect the quantum correlation of the Werner states. Therefore, improving the quantum discord of the Werner states under the noisechannel is the goal of improving the information processing ef?ciency.For the Werner state, the in?uence of memory parameter ν on quantum discord is studied in common memory Pauli channels(phase damping, bit ?ipping and depolarization channels). The results show that for Pauli channels without memory (ν = 0), theadvantage of quantum discord gradually disappears with the increase of noise parameter p. In memory channels (ν > 0), quantumdiscord increases with the increase of memory parameter ν. In particular, when the memory parameter ν = 1, the quantum discordreaches its maximum regardless of the noise parameter p. This will help the Werner state resist the decoherence of the environmentin quantum tasks.

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    XUE Dan, BAI Ming-qiang, GUO Ji-hong, YANG Zhen. Quantum Discord in Memory Pauli Channel[J]. Journal of Quantum Optics, 2023, 29(3): 30802

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    Paper Information

    Received: Feb. 22, 2023

    Accepted: --

    Published Online: Apr. 7, 2024

    The Author Email:

    DOI:10.3788/jqo20232903.0802

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