The unavoidable interaction of a real quantum system with the environment leads to the degradation of quantum coherence. Consequently, this paper investigates how such interaction can influence the quantum Fisher information (QFI) with the Hawking effect in the Schwarzschild black hole. We have considered two models of quantum decoherence: amplitude damping and phase damping channels; both can be experimentally induced. We found that Quantum information ##IMG## [http://ej.iop.org/images/1555-6611/30/11/115206/lpabbed9ieqn1.gif] {$F_\phi$} is more robust to phase flip channel than to the amplitude damping channel. It is observed that under the influence of phase damping channel, Quantum information ##IMG## [http://ej.iop.org/images/1555-6611/30/11/115206/lpabbed9ieqn2.gif] {$F_\theta$} does not depend on Hawking temperature making the parameter estimation immune to the Hawking effect but susceptible to decoherence. We found that QFI dwi...

中文翻译：

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在Schwarzschild黑洞中探测具有霍金效应的开放Dirac系统的量子Fisher信息

实际量子系统与环境不可避免的相互作用会导致量子相干性下降。因此，本文研究了这种相互作用如何通过Schwarzschild黑洞中的霍金效应影响量子Fisher信息（QFI）。我们考虑了两种量子退相干模型：幅度阻尼和相位阻尼通道；两者均可通过实验诱导。我们发现，量子信息## IMG ## [http://ej.iop.org/images/1555-6611/30/11/115206/lpabbed9ieqn1.gif] {$ F_ \ phi $}对相位翻转更健壮通道而不是振幅阻尼通道。可以看出，在相位阻尼通道的影响下，量子信息## IMG ## [http://ej.iop.org/images/1555-6611/30/11/115206/lpabbed9ieqn2。gif] {$ F_ \ theta $}不依赖于霍金温度，因此参数估计不受霍金效应的影响，但易于退相干。我们发现QFI降低了...