Cited by 18Advanced Thermodynamics and Statistical MechanicsQuantum Information and CryptographyQuantum Mechanics and Applications

Energy cost of information transmission (along the path to understanding)

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Levitin, Lev B.·1998·Physica D: Nonlinear Phenomena

Abstract

It is shown that the minimum energy required to transmit a natural unit of information (nat) over a noisy channel is k T, where T is the effective noise temperature which depends on the interaction between the information career and the environment. The result follows from the entropy defect principle and general laws of quantum dynamics without any specific assumptions. © 1998 Published by Elsevier Science B.V. All rights reserved. 1.

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Crossref · 10.1016/s0167-2789(98)00051-7

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16 of 16 references verified0 citation errors · 0 not checkable

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Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The speed with which a physical device can process information is limited by its energy.

    “In particular, the speed with which a physical device can process information is limited by its energy 11 -26 and the amount of information that it can process is limited by the number of degrees of freedom it possesses 5 -40 .”

    From Ultimate physical limits to computation (2000) · cites this paper as [14]

  • The laws of quantum mechanics determine the maximum rate at which a system with spread in energy ΔE can move from one distinguishable state to another.

    “The problem of how much energy is required for information processing was first investigated in the context of communications theory by Levitin 11 -16 , Bremermann 17 -19 , Beckenstein 20 -22 and others, who showed that the laws of quantum mechanics determine the maximum rate at which a system with spread in energy ∆ E can move from one distinguishable state to another.”

    From Ultimate physical limits to computation (2000) · cites this paper as [14]

  • kB T ln 2 is the minimal amount of energy required to send a bit down an information channel with noise temperature T.

    “( k B T ln 2 is the minimal amount of energy required to send a bit down an information channel with noise temperature T . 14 )”

    From Ultimate physical limits to computation (2000) · cites this paper as [14]

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Authors
Levitin, L. B.
Affiliations
Boston University (US)
Corresponding author
Levitin, Lev B.
Venue
Physica D: Nonlinear Phenomena
Publisher
Elsevier BV
Published
1998-09
Volume
120
Issue
1-2
Pages
162-167
ISSN
0167-2789 (ISSN-L)
OpenAlex
W2006684849
Cited by
18
References
16
Citations by year
2023: 1 · 2021: 2 · 2020: 1 · 2013: 1
FWCI
0.28
Type
journal article
Language
en
Open access
Locations
Physica D Nonlinear Phenomena (publishedVersion, cc-by-nc-nd)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
Keywords
noisy channels, effective noise temperature, quantum dynamics, information theory, information thermodynamics

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