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arXiv 2005.04241quant-ph
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非经典时间相关增强的时钟性能

Ticking-clock performance enhanced by nonclassical temporal correlations

Costantino Budroni, Giuseppe Vitagliano, Mischa P. Woods

备注：
8+12 pages, 5 figures
发表信息：
Phys. Rev. Research 3, 033051 (2021)
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摘要：

我们研究了非经典时间相关性在提高离散时间场景中滴答作响的时钟的性能方面的作用。我们发现，滴答作响的时钟的最优模型的问题是有关违反Leggett-Garg型的时间不等式制定的条款，可能是侵入性的，连续的测量，但在一个系统的内存容量有限。滴答作响的时钟激发了一系列时间不等式的推导，这些不等式显示了经典和量子相关性之间的差距，尽管不涉及输入。我们表明，量子滴答时钟模型实现的精度超过经典的界限也是那些违反Leggett-Garg型时间不等式的有限序列，我们调查他们的连续时间限制。有趣的是，我们表明，在离散时间的情况下，最佳的经典时钟模型没有一个明确的连续时间限制，这是量子模型中不存在的功能。

英文摘要：

We investigate the role of nonclassical temporal correlations in enhancing the performance of ticking clocks in a discrete-time scenario. We show that the problem of optimal models for ticking clocks is related to the violation of Leggett-Garg-type temporal inequalities formulated in terms of, possibly invasive, sequential measurements, but on a system with a bounded memory capacity. Ticking clocks inspire the derivation of a family of temporal inequalities showing a gap between classical and quantum correlations, despite involving no input. We show that quantum ticking-clock models achieving accuracy beyond the classical bound are also those violating Leggett-Garg-type temporal inequalities for finite sequences and we investigate their continuous-time limit. Interestingly, we show that optimal classical clock models in the discrete-time scenario do not have a well-defined continuous-time limit, a feature that is absent in quantum models.

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