Landauer Bound for Analog Computing Systems
arXiv:1607.01704 · doi:10.1103/PhysRevE.94.012139
Abstract
By establishing a relation between information erasure and continuous phase transitions we generalise the Landauer bound to analog computing systems. The entropy production per degree of freedom during erasure of an analog variable (reset to standard value) is given by the logarithm of the configurational volume measured in units of its minimal quantum. As a consequence every computation has to be carried on with a finite number of bits and infinite precision is forbidden by the fundamental laws of physics, since it would require an infinite amount of energy.
5 pages, no figures, to appear in Phys. Rev. E
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- Stochastic thermodynamics of computation
- Landauer Principle and Thermodynamics of Computation
- Cost of remembering a bit of information
- Finite time measurements by Unruh-DeWitt detector and Landauer's principle
- Revisiting thermodynamics in computation and information theory
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