论文标题
衍射限制系统中的量子温度计
Quantum thermometry in diffraction-limited systems
论文作者
论文摘要
我们研究了解决受衍射影响的两个热源温度的最终量子限制。与没有先验信息相比，可以通过先验信息获得更多的量子Fisher信息。我们仔细考虑了两种策略：同时估计和个人估计。事实证明，同时估计两个温度可以满足量子cramér结合的饱和条件，并且在给定相同资源的情况下，衍射程度较小的情况下的性能优于个人估计。但是，在高度衍射的情况下，单个估计的性能更好。特别是，在最大衍射范围内，同时估计无法获取任何信息，这是由实际测量所支持的，而单个估计仍然可以获取信息。此外，我们发现，对于单个估计，使用完整的Hermite-gauss基础可以实用且可行的估计策略可以使量子cramér结合饱和而不会受到最大衍射的衰减因子的影响。使用完整的HERMITE-GAUSS可以使量子cramér结合饱和，而不会在最大衍射下受到衰减因子的影响。
We investigate the ultimate quantum limit of resolving the temperatures of two thermal sources affected by the diffraction. More quantum Fisher information can be obtained with the priori information than that without the priori information. We carefully consider two strategies: the simultaneous estimation and the individual estimation. The simultaneous estimation of two temperatures is proved to satisfy the saturation condition of quantum Cramér bound and performs better than the individual estimation in the case of small degree of diffraction given the same resources. However, in the case of high degree of diffraction, the individual estimation performs better. In particular, at the maximum diffraction, the simultaneous estimation can not get any information, which is supported by a practical measurement, while the individual estimation can still get the information. In addition, we find that for the individual estimation, a practical and feasible estimation strategy by using the full Hermite-Gauss basis can saturate the quantum Cramér bound without being affected by the attenuation factor at the maximum diffraction. using the full Hermite-Gauss basis can saturate the quantum Cramér bound without being affected by the attenuation factor at the maximum diffraction.
