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arXiv 1708.00749quant-ph
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高斯电池充电中的精度和功波动

Precision and Work Fluctuations in Gaussian Battery Charging

Nicolai Friis, Marcus Huber

摘要:

量子热力学中最基本的任务之一是从一个系统中提取能量,然后将这些能量存储在适当的电池中。这两个步骤,功提取和充电,可以被看作是作用于单个量子系统的循环哈密顿过程。有趣的是,存在所谓的被动状态,其能量不能通过酉操作降低,但可以安全地假设任何未完全充电的电池的能量可以酉增加。然而,将平均能量提高相同数量的幺正可能在质量上有所不同,例如它们的精度,波动和充电功率。此外,一些酉性在实践中可能极难实现。因此,至关重要的是要了解可以从实际可实施的变革中预期的质量。在这里,我们考虑的限制充电电池时,限制到可行的实现家庭的高斯幺正。我们推导出一般酉操作的最佳协议,以及更容易实现的高斯酉的限制。我们发现,实际的高斯电池充电,而执行显着不如可能的原则上,仍然提供渐近消失的相对电荷方差和波动。

英文摘要:

One of the most fundamental tasks in quantum thermodynamics is extracting energy from one system and subsequently storing this energy in an appropriate battery. Both of these steps, work extraction and charging, can be viewed as cyclic Hamiltonian processes acting on individual quantum systems. Interestingly, so-called passive states exist, whose energy cannot be lowered by unitary operations, but it is safe to assume that the energy of any not fully charged battery may be increased unitarily. However, unitaries raising the average energy by the same amount may differ in qualities such as their precision, fluctuations, and charging power. Moreover, some unitaries may be extremely difficult to realize in practice. It is hence of crucial importance to understand the qualities that can be expected from practically implementable transformations. Here, we consider the limitations on charging batteries when restricting to the feasibly realizable family of Gaussian unitaries. We derive optimal protocols for general unitary operations as well as for the restriction to easier implementable Gaussian unitaries. We find that practical Gaussian battery charging, while performing significantly less well than is possible in principle, still offers asymptotically vanishing relative charge variances and fluctuations.

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