# Difference between revisions of "A cost/speed/reliability tradeoff to erasing"

From Thermodynamics of Computation

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|doi=10.1007/978-3-319-21819-9_14 | |doi=10.1007/978-3-319-21819-9_14 | ||

|isbn=9783319218182 | |isbn=9783319218182 | ||

+ | |arxiv=https://arxiv.org/abs/1410.1710 | ||

|scopus=2-s2.0-84943625259 | |scopus=2-s2.0-84943625259 | ||

|pui=606383559 | |pui=606383559 | ||

− | |abstract=We present a KL-control treatment of the fundamental problem of erasing a bit. We introduce notions of "reliability" of information storage via a reliability timescale | + | |abstract=We present a KL-control treatment of the fundamental problem of erasing a bit. We introduce notions of "reliability" of information storage via a reliability timescale <math>\tau_r</math>, and "speed" of erasing via an erasing timescale <math>\tau_e</math>. Our problem formulation captures the tradeoff between speed, reliability, and the Kullback-Leibler (KL) cost required to erase a bit. We show that rapid erasing of a reliable bit costs at least <math>\log 2 - \log\left(1 - \operatorname{e}^{-\frac{\tau_e}{\tau_r}}\right) > \log 2</math>, which goes to <math>\frac{1}{2} \log\frac{2\tau_r}{\tau_e}</math> when <math>\tau_r>>\tau_e</math>. |

|Mendeley link=http://www.mendeley.com/research/costspeedreliability-tradeoff-erasing | |Mendeley link=http://www.mendeley.com/research/costspeedreliability-tradeoff-erasing | ||

|pages=192-201 | |pages=192-201 |

## Latest revision as of 09:19, April 29, 2019

- reference groups
- Computer Science Theory
- General Non-equilibrium Statistical Physics
- Stochastic Thermodynamics
- author-supplied keywords
- keywords
- authors
- Manoj Gopalkrishnan
- title
- A cost/speed/reliability tradeoff to erasing
- type
- conference_proceedings
- year
- 2015

- pages
- 192-201
- volume
- 9252
- publisher
- Springer Verlag
- abstract
- We present a KL-control treatment of the fundamental problem of erasing a bit. We introduce notions of "reliability" of information storage via a reliability timescale , and "speed" of erasing via an erasing timescale . Our problem formulation captures the tradeoff between speed, reliability, and the Kullback-Leibler (KL) cost required to erase a bit. We show that rapid erasing of a reliable bit costs at least , which goes to when .

## Counts

- Citation count
- Page views
- 12

## Identifiers

**doi:**10.1007/978-3-319-21819-9_14 (Google search)**issn:**16113349**sgr:**84943625259**isbn:**9783319218182**arxiv:**https://arxiv.org/abs/1410.1710**scopus:**2-s2.0-84943625259**pui:**606383559