Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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.

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The categories of this paper are: econ
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The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: stat
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol