A quantum system will both lose and gain excitation through interaction with the environment in a non-zero temperature environment. In this paper, we investigate how a feedback control scheme utilizing weak measurement stabilizes a quantum state which suffers from an environment with finite temperature. Our study has shown that compared with the conventional ‘do-nothing’ and ‘Helstrom’ schemes, this method is much more useful for suppressing decoherence in a generalized amplitude damping (GAD) noise channel. Additionally, for a quantum state, we give the expression of optimum measurement strength, correction angle and the general analytic expression for the optimum fidelity. Additionally, the maximum value of the fidelity improvement can be achieved by controlling the measurement strength, correction angle and the special initial state of the system. More importantly, we find that this approach can not only be helpful for suppressing decoherence in the GAD channel, but can also play a significant role in the amplitude damping noise channel. This phenomenon reveals that in non-zero temperature noise channels, the feedback control scheme via weak measurement can be better for stabilizing a quantum state.

量子系统将通过与非零温度环境中的环境相互作用而失去和获得激发。在本文中，我们研究了利用弱测量的反馈控制方案如何稳定受有限温度环境影响的量子态。我们的研究表明，与传统的“无所作为”和“Helstrom”方案相比，这种方法对于抑制广义振幅阻尼 (GAD) 噪声通道中的退相干更有用。另外，对于量子态，我们给出了最佳测量强度、校正角的表达式和最佳保真度的一般解析表达式。此外，通过控制测量强度可以实现保真度提高的最大值，校正角和系统的特殊初始状态。更重要的是，我们发现这种方法不仅有助于抑制 GAD 通道中的退相干，而且还可以在幅度阻尼噪声通道中发挥重要作用。这一现象表明，在非零温度噪声通道中，通过弱测量的反馈控制方案可以更好地稳定量子态。