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Thermodynamic cost of reliability and low temperatures: Tightening Landauer's principle and the second law

机译:可靠性和低温的热力学成本:严格的兰道尔原理和第二定律

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摘要

Landauer's principle states that the erasure of one bit of information requires the free energy kT In 2. We argue that the reliability of the bit erasure process is bounded by the accuracy inherent in the statistical state of the energy source ("the resources") driving the process. We develop a general framework describing the "thermodynamic worth" of the resources with respect to reliable bit erasure or good cooling. This worth turns out to be given by the distinguishability of the resource's state from its equilibrium state in the sense of a statistical inference problem. Accordingly. Kullback-Leibler relative information is a decisive quantity Tor the "worth" of the resource's state. Due to the asymmetry of relative information. the reliability of the erasure process is bounded rather by the relative information of the equilibrium state with respect to the actual state than by the relative information of the actual state with respect to the equilibrium state (which is the free energy up to constants). [References: 19]
机译:Landauer原理指出,擦除一比特信息需要自由能kT在2中。我们认为比特擦除过程的可靠性受能源(“资源”)驱动的统计状态固有的准确性的限制。过程。我们开发了一个通用的框架,描述了有关可靠的位擦除或良好冷却的资源“热力学价值”。从统计推断问题的意义上说,这是由资源状态与平衡状态之间的可区分性赋予的。因此。 Kullback-Leibler相关信息是决定资源状态“价值”的决定性量。由于相对信息的不对称性。擦除过程的可靠性不是由相对于实际状态的平衡状态的相对信息而是由相对于平衡状态的实际状态的相对信息(即直到常数的自由能)限制的。 [参考:19]

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