We give the explicit expressions of quantum Fisher information and skew information for a two-qubit Bell states. We investigate their dynamics under the decoherence effects: phase-damping channel, depolarizing channel and amplitude-damping channel. We also discuss the thermal entanglement quantified by Wootters concurrence for these three decoherence channels and we compare its dynamical behavior with the quantum Fisher information and skew information. We then use this comparison to investigate the influence of noisy channels on thermal entanglement and its role in boosting the performance of metrology protocols. It is shown that the correlations in two-qubit Bell states are more resistant to phase-damping channel and depolarizing channels.

中文翻译：

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退相干效应下双量子比特贝尔态的 Fisher 和 skew 信息

我们给出了两个量子比特贝尔状态的量子费舍尔信息和偏斜信息的显式表达。我们研究了它们在退相干效应下的动力学：相位阻尼通道、去极化通道和幅度阻尼通道。我们还讨论了这三个退相干通道的 Wootters 并发量化的热纠缠，并将其动态行为与量子 Fisher 信息和偏斜信息进行了比较。然后，我们使用这种比较来研究噪声通道对热纠缠的影响及其在提高计量协议性能中的作用。结果表明，双量子比特贝尔态的相关性更能抵抗相位阻尼通道和去极化通道。