We investigate the speedup evolution of the system under the influence of the Unruh effect, where one of the observers (e.g., Bob) is uniformly accelerated. We show that acceleration can be beneficial to the evolution speed of the system, even in the presence of noise. Here two distinct dissipation mechanisms are considered, one where the total system is in a noise channel and the second where only Bob’s qubit is in a noisy channel. Interestingly, for the total system in the amplitude damping channel and depolarizing channel, the evolution speed of the system may increase monotonously with the increase of acceleration, which is in stark contrast to the case where only Bob’s qubit undergoing a noise channel. We find that the reason behind these behaviors are due to the competition mechanism between the Unruh effect and the dissipation effect, illustrated by the analytical formula of quantum speed limit time derived under quasi-inertial frame and strong dissipation regime.

中文翻译：

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非惯性框架中的量子加速

我们研究了Unruh效应影响下系统的加速演化，其中观察者之一（例如Bob）被一致地加速。我们表明，即使存在噪声，加速度也可能有益于系统的进化速度。这里考虑了两种不同的耗散机制，一种是整个系统位于噪声通道中，另一种只有鲍勃的量子比特位于噪声通道中。有趣的是，对于整个系统，在振幅衰减通道和去极化通道中，系统的演化速度可能随加速度的增加而单调增加，这与仅鲍勃的量子比特经过噪声通道的情况形成了鲜明的对比。我们发现这些行为背后的原因是由于Unruh效应和耗散效应之间的竞争机制，