dorsal/arxiv
View SchemaInformation Transfer and Landauer's Principle
| Authors | Michael C. Parker, Stuart D. Walker |
|---|---|
| Categories | |
| ArXiv ID | physics/0310116 |
| URL | https://arxiv.org/abs/physics/0310116 |
| DOI | 10.1016/j.optcom.2003.10.019 |
Abstract
In this paper we present an analysis of information transfer based on Landauer's principle (i.e. erasure of information is associated with an increase in entropy), as well as considerations of analyticity and causality. We demonstrate that holomorphic functions allowing complete analytic continuation cannot propagate any information, such that information transfer only occurs with analytic functions having points of non-analyticity (i.e. meromorphic functions). Such points of non-analyticity (or discontinuities) are incompatible with adiabaticity, so that information transfer must always be accompanied by a change in entropy: a dynamic reformulation of Landauer's Principle. In addition, since Brillouin proved that discontinuities cannot travel faster than the speed of light c, this also implies that information cannot be transferred at superluminal speeds.
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"abstract": "In this paper we present an analysis of information transfer based on\nLandauer\u0027s principle (i.e. erasure of information is associated with an\nincrease in entropy), as well as considerations of analyticity and causality.\nWe demonstrate that holomorphic functions allowing complete analytic\ncontinuation cannot propagate any information, such that information transfer\nonly occurs with analytic functions having points of non-analyticity (i.e.\nmeromorphic functions). Such points of non-analyticity (or discontinuities) are\nincompatible with adiabaticity, so that information transfer must always be\naccompanied by a change in entropy: a dynamic reformulation of Landauer\u0027s\nPrinciple. In addition, since Brillouin proved that discontinuities cannot\ntravel faster than the speed of light c, this also implies that information\ncannot be transferred at superluminal speeds.",
"arxiv_id": "physics/0310116",
"authors": [
"Michael C. Parker",
"Stuart D. Walker"
],
"categories": [
"physics.optics",
"physics.gen-ph"
],
"doi": "10.1016/j.optcom.2003.10.019",
"title": "Information Transfer and Landauer\u0027s Principle",
"url": "https://arxiv.org/abs/physics/0310116"
},
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