dorsal/arxiv
View SchemaThe thermodynamic cost of reliability and low temperatures: Tightening Landauer's principle and the Second Law
| Authors | Dominik Janzing, Pawel Wocjan, Robert Zeier, Rubino Geiss, Thomas Beth |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0002048 |
| URL | https://arxiv.org/abs/quant-ph/0002048 |
| Journal | Int. Journ. Th. Phys. 39(12):2217-2753, 2000 |
Abstract
Landauer's principle states that the erasure of one bit of information requires the free energy kT ln 2. We argue that the reliability of the bit erasure process is bounded by the accuracy inherent in the statistical state of the energy source (`the resources') driving the process. We develop a general framework describing the `thermodynamic worth' of the resources with respect to reliable bit erasure or good cooling. This worth turns out to be given by the distinguishability of the resource's state from its equilibrium state in the sense of a statistical inference problem. Accordingly, Kullback-Leibler relative information is a decisive quantity for the `worth' of the resource's state. Due to the asymmetry of relative information, the reliability of the erasure process is bounded rather by the relative information of the equilibrium state wit respect to the actual state than by the relative information of the actual state with respect to the equilibrium state (which is the free energy up to constants).
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"abstract": "Landauer\u0027s principle states that the erasure of one bit of information\nrequires the free energy kT ln 2. We argue that the reliability of the bit\nerasure process is bounded by the accuracy inherent in the statistical state of\nthe energy source (`the resources\u0027) driving the process. We develop a general\nframework describing the `thermodynamic worth\u0027 of the resources with respect to\nreliable bit erasure or good cooling. This worth turns out to be given by the\ndistinguishability of the resource\u0027s state from its equilibrium state in the\nsense of a statistical inference problem. Accordingly, Kullback-Leibler\nrelative information is a decisive quantity for the `worth\u0027 of the resource\u0027s\nstate. Due to the asymmetry of relative information, the reliability of the\nerasure process is bounded rather by the relative information of the\nequilibrium state wit respect to the actual state than by the relative\ninformation of the actual state with respect to the equilibrium state (which is\nthe free energy up to constants).",
"arxiv_id": "quant-ph/0002048",
"authors": [
"Dominik Janzing",
"Pawel Wocjan",
"Robert Zeier",
"Rubino Geiss",
"Thomas Beth"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int. Journ. Th. Phys. 39(12):2217-2753, 2000",
"title": "The thermodynamic cost of reliability and low temperatures: Tightening Landauer\u0027s principle and the Second Law",
"url": "https://arxiv.org/abs/quant-ph/0002048"
},
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