The minimal work cost of information processing


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Date

2015

Publication Type

Journal Article

ETH Bibliography

yes

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Abstract

Irreversible information processing cannot be carried out without some inevitable thermodynamical work cost. This fundamental restriction, known as Landauer’s principle, is increasingly relevant today, as the energy dissipation of computing devices impedes the development of their performance. Here we determine the minimal work required to carry out any logical process, for instance a computation. It is given by the entropy of the discarded information conditional to the output of the computation. Our formula takes precisely into account the statistically fluctuating work requirement of the logical process. It enables the explicit calculation of practical scenarios, such as computational circuits or quantum measurements. On the conceptual level, our result gives a precise and operational connection between thermodynamic and information entropy, and explains the emergence of the entropy state function in macroscopic thermodynamics.

Publication status

published

Editor

Book title

Volume

6

Pages / Article No.

7669

Publisher

Nature

Event

Edition / version

Methods

Software

Geographic location

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Date created

Subject

Organisational unit

03781 - Renner, Renato / Renner, Renato check_circle

Notes

Funding

128455 - Theoretical Foundations of Quantum Cryptography (SNF)
138799 - CQC - Composing Quantum Channels (SNF)

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