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Probabilistic Turing Machine and Landauer Limit

We show the equivalence between a probabilistic Turing machine and the time evolution of a one-dimensional Ising model, the Glauber model in one dimension, equilibrium positions representing the results of computations of the Turing machine. This equivalence permits to map a physical system on a computational system providing in this way an evaluation of the entropy at the end of computation. The result agrees with Landauer limit.

preprint2012arXivOpen access
Marco Frasca
math-phmath.MP
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Marco Frasca

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