论文标题

从未知量子来源提取工作

Work extraction from unknown quantum sources

论文作者

Šafránek, Dominik, Rosa, Dario, Binder, Felix

论文摘要

能量提取是热力学中的核心任务。在量子物理学中,麦角疗测量可在循环哈密顿控制下提取的工作量。但是,由于其完整的提取需要对初始状态的完美知识,因此,它并未表征未知或未经信任的量子源的工作价值。充分表征此类来源将需要量子断层扫描,这在实验中的昂贵,由于所需的测量和操作局限性的指数增长。因此,当我们仅通过仅执行一种单一类型的粗粒度测量方法来学到的量子状态,我们得出了适用于源态的新概念。我们发现,在这种情况下,提取的工作是由玻尔兹曼和观察熵定义的,如果分别在工作提取中使用测量结果或不使用测量结果。这种麦角镜的概念代表了可提取工作的现实度量,可以用作表征量子电池的相关功能。

Energy extraction is a central task in thermodynamics. In quantum physics, ergotropy measures the amount of work extractable under cyclic Hamiltonian control. As its full extraction requires perfect knowledge of the initial state, however, it does not characterize the work value of unknown or untrusted quantum sources. Fully characterizing such sources would require quantum tomography, which is prohibitively costly in experiments due to the exponential growth of required measurements and operational limitations. Here, we therefore derive a new notion of ergotropy applicable when nothing is known about the quantum states produced by the source, apart from what can be learned by performing only a single type of coarse-grained measurement. We find that in this case the extracted work is defined by the Boltzmann and observational entropy, in cases where the measurement outcomes are, or are not, used in the work extraction, respectively. This notion of ergotropy represents a realistic measure of extractable work, which can be used as the relevant figure of merit to characterize a quantum battery.

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