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

How to train your demon to do fast information erasure without heat production