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arXiv 1909.10484quant-ph
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所有量子资源在排除任务中提供优势

All quantum resources provide an advantage in exclusion tasks

Roope Uola, Tom Bullock, Tristan Kraft, Juha-Pekka Pellonpää, Nicolas Brunner

摘要:

量子资源理论的一个关键要素是度量的概念。这样一个措施应该有一些基本属性,最好还有明确的操作意义。在这里,我们展示了一种称为凸权重的自然度量,它量化了量子设备的资源成本,具有所有期望的属性。特别是,任何量子资源的凸权重都恰好对应于它在排除任务中提供的相对优势。在给出一般结果之后,我们展示了状态集合、测量集和变换集的构造如何工作。此外,为了约束凸重量解析,我们给出了一个完整的刻画的凸组件和相应的权重,这样的设备。

英文摘要:

A key ingredient in quantum resource theories is a notion of measure. Such as a measure should have a number of fundamental properties, and desirably also a clear operational meaning. Here we show that a natural measure known as the convex weight, which quantifies the resource cost of a quantum device, has all the desired properties. In particular, the convex weight of any quantum resource corresponds exactly to the relative advantage it offers in an exclusion task. After presenting the general result, we show how the construction works for state assemblages, sets of measurements and sets of transformations. Moreover, in order to bound the convex weight analytically, we give a complete characterisation of the convex components and corresponding weights of such devices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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