dorsal/arxiv
View SchemaGeneralising Landauer's Principle
| Authors | O. J. E. Maroney |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702094 |
| URL | https://arxiv.org/abs/quant-ph/0702094 |
| DOI | 10.1103/PhysRevE.79.031105 |
| Journal | PHYSICAL REVIEW E 79, 031105 (2009) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In a recent paper [Mar05] it is argued that to properly understand the thermodynamics of Landauer's Principle it is necessary extend the concept of logical operations to include indeterministic operations. Here we examine the thermodynamics of such operations in more detail, extending the work of Landuaer[Lan61] to include indeterministic operations and to include logical states with variable entropies, temperatures and mean energies. We derive the most general statement of Landauer's Principle and prove it's universality, extending considerably the validity of previous proofs. This confirms conjectures made in [Mar05b], in particular that all logical operations may, in principle, be performed in a thermodynamically reversible fashion. We demonstrate a physical process that can perform any computation without work requirements or heat exchange with the environment. Many widespread statements of Landauer's Principle are shown to be only special cases of our generalised principle.
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"abstract": "In a recent paper [Mar05] it is argued that to properly understand the\nthermodynamics of Landauer\u0027s Principle it is necessary extend the concept of\nlogical operations to include indeterministic operations. Here we examine the\nthermodynamics of such operations in more detail, extending the work of\nLanduaer[Lan61] to include indeterministic operations and to include logical\nstates with variable entropies, temperatures and mean energies. We derive the\nmost general statement of Landauer\u0027s Principle and prove it\u0027s universality,\nextending considerably the validity of previous proofs. This confirms\nconjectures made in [Mar05b], in particular that all logical operations may, in\nprinciple, be performed in a thermodynamically reversible fashion. We\ndemonstrate a physical process that can perform any computation without work\nrequirements or heat exchange with the environment. Many widespread statements\nof Landauer\u0027s Principle are shown to be only special cases of our generalised\nprinciple.",
"arxiv_id": "quant-ph/0702094",
"authors": [
"O. J. E. Maroney"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevE.79.031105",
"journal_ref": "PHYSICAL REVIEW E 79, 031105 (2009)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Generalising Landauer\u0027s Principle",
"url": "https://arxiv.org/abs/quant-ph/0702094"
},
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