The necessity of entanglement and the equivalency of Bell's theorem with the second law of thermodynamics

Details The necessity of entanglement and the equivalency of Bell's theorem with the second law of thermodynamics The necessity of entanglement and the equivalency of Bell's theorem with the second law of thermodynamics

2011-11-07

arxiv.org/abs/1111.1746v1

Physics

Quantum Physics

5 pages, 1 table, 1 figure, to appear in Foundations of Probability and Physics - 6, AIP Conference Proceedings

Scientific paper

We demonstrate that both Wigner's form of Bell's inequalities as well as a form of the second law of thermodynamics, as manifest in Carath\'{e}odory's principle, can be derived from the same simple experimental and statistical mechanical assumptions combined with the trivial behavior of integers. This suggests that Bell's theorem is merely a well-disguised statement of the second law. It also suggests that entanglement is necessary for quantum theory to be in full accord with the second law and thus builds on the results of Wiesniak, Vedral, and Brukner \cite{Marcin-Wiesniak:2008fv} who showed it was necessary for consistency with the third law.

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