Time-dependent protocols that perform irreversible logical operations, such as memory erasure, cost work and produce heat, placing bounds on the efficiency of computers. Here we use a prototypical computer model of a physical memory to show that it is possible to learn feedback-control protocols to do fast memory erasure without input of work or production of heat. These protocols, which are enacted by a neural-network ``demon'', do not violate the second law of thermodynamics because the demon generates more heat than the memory absorbs. The result is a form of nonlocal heat exchange in which one computation is rendered energetically favorable while a compensating one produces heat elsewhere, a tactic that could be used to rationally design the flow of energy within a computer.

翻译：执行不可逆逻辑操作（如内存擦除）的时间相关协议需要消耗功并产生热量，这限制了计算机的效率。本文通过一个经典物理内存计算机模型证明，可以学习反馈控制协议，在不输入功或产生热量的情况下实现快速内存擦除。这些由神经网络“恶魔”执行的协议并未违反热力学第二定律，因为该恶魔产生的热量多于内存吸收的热量。其结果是形成一种非局部热交换形式：一个计算过程在能量上变得有利，而另一个补偿性计算过程则在其他地方产生热量——这种策略可用于合理设计计算机内部的能量流动。