Are entropic Bell inequalities implied by the second law?

Details Are entropic Bell inequalities implied by the second law? Are entropic Bell inequalities implied by the second law?

2007-03-03

arxiv.org/abs/quant-ph/0703027v2

Physics

Quantum Physics

Yes. Extensively expanded and updated based upon feedback received on previous version. (10 pages; presented at the 2007 Mearc

Scientific paper

Bell's inequalities, in the form given by Cerf and Adami, are derived from the combination of the second law of thermodynamics and the Markov postulate. Violations of these inequalities are discussed in terms of the mixing characteristics of the density operators. A quantum mechanical bound for a system of three qubits, two of which are entangled, is found and is shown to lead to strong subadditivity in one case. Finally, in interpreting the results, the role the uncertainty relations play in the definition of entropy and the second law is discussed, demonstrating a link to Bell's inequalities. Additionally the second law is shown to be dependent on the type of measurement in quantum systems. Specifically, a more general statement of the second law appropriate to both quantum and classical systems is suggested.

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