华东师范大学学报(自然科学版) ›› 2022, Vol. 2022 ›› Issue (4): 120-130.doi: 10.3969/j.issn.1000-5641.2022.04.012

• 物理学与电子学 • 上一篇    下一篇

Garfinkle-Horowitz-Strominger黑洞视界附近qubit-qutrit系统量子Fisher信息的保护

廉熠鋆, 刘金明*()   

  1. 华东师范大学 精密光谱科学与技术国家重点实验室, 上海 200241
  • 收稿日期:2021-04-27 出版日期:2022-07-25 发布日期:2022-07-19
  • 通讯作者: 刘金明 E-mail:jmliu@phy.ecnu.edu.cn
  • 基金资助:
    国家自然科学基金(11174081)

Protecting quantum Fisher information of a qubit-qutrit system near the horizon of the Garfinkle-Horowitz-Strominger dilation space-time

Yijun LIAN, Jinming LIU*()   

  1. State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China
  • Received:2021-04-27 Online:2022-07-25 Published:2022-07-19
  • Contact: Jinming LIU E-mail:jmliu@phy.ecnu.edu.cn

摘要:

以Garfinkle-Horowitz-Strominger (GHS) 膨胀黑洞附近的qubit粒子和渐进平行时空下的qutrit粒子所组成的qubit-qutrit系统为研究对象, 讨论了该系统的量子Fisher信息(Quantum Fisher Information, QFI)在噪声环境下的动力学行为, 并基于弱测量和测量反转操作提出了噪声通道影响下量子Fisher 信息的保护方案. 结果表明, 对于振幅阻尼通道, 量子Fisher信息随着退相干强度的增加呈现单调递减的趋势; 然而对于相位阻尼通道, 量子Fisher信息却几乎不发生改变. 此外, 通过选取合适的弱测量强度和测量反转强度, 实现了振幅阻尼信道中量子Fisher信息的保护, 其量子Fisher信息可得到显著增强.

关键词: 量子Fisher信息, Garfinkle-Horowitz-Strominger膨胀黑洞时空, 量子弱测量

Abstract:

In this study, we investigated the dynamic behavior of quantum Fisher information (QFI) for the qubit-qutrit system suffering from noisy environments by considering quantum memory; the qubit is located near the event horizon of the Garfinkle-Horowitz-Strominger (GHS) dilation black hole and the qutrit stays at the asymptotically flat region. We proposed an effective strategy to protect QFI under the influence of noise by employing weak measurement and reversal measurement. The results show that QFI decays as the amplitude damping strength increases; meanwhile, QFI is nearly constant with an increase in the phase damping strength. QFI can be improved with the selection of appropriate values for measurement strengths and reversal strengths.

Key words: quantum Fisher information (QFI), Garfinkle-Horowitz-Strominger dilation space-time, quantum weak measurement

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