论文标题

动力学原理:通过热力学量化信息传输

Dynamical Landauer Principle: Quantifying Information Transmission by Thermodynamics

论文作者

Hsieh, Chung-Yun

论文摘要

能源传输和信息传输是自然界的两个基本方面。它们似乎是无关的,而最近的发现表明,它们之间存在着深厚的联系。这相当于:我们可以将经典位当等效地作为特定的能量传输任务等效地传输的过程表达出来,从而发现它们之间的基本联系吗?我们通过表明,对于一系列经典的传播任务,量子动态传输$ n $的经典信息的能力与其在热力学任务中传递$ n $单位的能量单位的能力相当,我们可以积极回答这个问题。这一发现不仅提供了信息传输和能量提取任务之间的分析对应关系,而且还通过热力学来量化经典的交流。此外,我们的发现揭示了Landauer原理的动态版本,显示了传输信息与能量之间的牢固联系。在渐近方案中,我们的结果进一步为量子通信理论中众所周知的Holevo-Schumacher-Westmoreland定理提供了热力学含义。

Energy transfer and information transmission are two fundamental aspects of nature. They are seemingly unrelated, while recent findings suggest that a deep connection between them is to be discovered. This amounts to asking: Can we phrase the processes of transmitting classical bits equivalently as specific energy-transmitting tasks, thereby uncovering foundational links between them? We answer this question positively by showing that, for a broad class of classical communication tasks, a quantum dynamics' ability to transmit $n$ bits of classical information is equivalent to its ability to transmit $n$ units of energy in a thermodynamic task. This finding not only provides an analytical correspondence between information transmission and energy extraction tasks, but also quantifies classical communication by thermodynamics. Furthermore, our findings uncover the dynamical version of Landauer's principle, showing the strong link between transmitting information and energy. In the asymptotic regime, our results further provide thermodynamic meanings for the well-known Holevo-Schumacher-Westmoreland Theorem in quantum communication theory.

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