dorsal/arxiv
View SchemaAre entropic Bell inequalities implied by the second law?
| Authors | Ian T. Durham |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703027 |
| URL | https://arxiv.org/abs/quant-ph/0703027 |
Abstract
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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"abstract": "Bell\u0027s inequalities, in the form given by Cerf and Adami, are derived from\nthe combination of the second law of thermodynamics and the Markov postulate.\nViolations of these inequalities are discussed in terms of the mixing\ncharacteristics of the density operators. A quantum mechanical bound for a\nsystem of three qubits, two of which are entangled, is found and is shown to\nlead to strong subadditivity in one case. Finally, in interpreting the results,\nthe role the uncertainty relations play in the definition of entropy and the\nsecond law is discussed, demonstrating a link to Bell\u0027s inequalities.\nAdditionally the second law is shown to be dependent on the type of measurement\nin quantum systems. Specifically, a more general statement of the second law\nappropriate to both quantum and classical systems is suggested.",
"arxiv_id": "quant-ph/0703027",
"authors": [
"Ian T. Durham"
],
"categories": [
"quant-ph"
],
"title": "Are entropic Bell inequalities implied by the second law?",
"url": "https://arxiv.org/abs/quant-ph/0703027"
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