O'Connor Eoin, Vacchini Bassano, Campbell Steve
School of Physics, University College Dublin, Belfield, D04 V1W8 Dublin, Ireland.
Centre for Quantum Engineering, Science, and Technology, University College Dublin, Belfield, D04 V1W8 Dublin, Ireland.
Entropy (Basel). 2021 Dec 6;23(12):1634. doi: 10.3390/e23121634.
We extend collisional quantum thermometry schemes to allow for stochasticity in the waiting time between successive collisions. We establish that introducing randomness through a suitable waiting time distribution, the Weibull distribution, allows us to significantly extend the parameter range for which an advantage over the thermal Fisher information is attained. These results are explicitly demonstrated for dephasing interactions and also hold for partial swap interactions. Furthermore, we show that the optimal measurements can be performed locally, thus implying that genuine quantum correlations do not play a role in achieving this advantage. We explicitly confirm this by examining the correlation properties for the deterministic collisional model.
我们扩展了碰撞量子测温方案，以允许连续碰撞之间的等待时间存在随机性。我们确定，通过合适的等待时间分布（威布尔分布）引入随机性，能够显著扩展相较于热费舍尔信息具有优势的参数范围。对于退相相互作用，这些结果得到了明确证明，并且对于部分交换相互作用也同样成立。此外，我们表明最优测量可以在本地进行，这意味着真正的量子关联在实现这一优势过程中不起作用。我们通过研究确定性碰撞模型的关联特性明确证实了这一点。
