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DOI: 10.4230/OASIcs.AUTOMATA.2021.3

Reversible Cellular Automata in Presence of Noise Rapidly Forget Everything (Invited Talk)

Authors: Siamak Taati

Published in: OASIcs, Volume 90, 27th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2021)

Abstract

We consider reversible and surjective cellular automata perturbed with noise. We show that, in the presence of positive additive noise, the cellular automaton forgets all the information regarding its initial configuration exponentially fast. In particular, the state of a finite collection of cells with diameter n becomes indistinguishable from pure noise after O(log n) time steps. This highlights the seemingly unavoidable need for irreversibility in order to perform scalable reliable computation in the presence of noise.

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Siamak Taati. Reversible Cellular Automata in Presence of Noise Rapidly Forget Everything (Invited Talk). In 27th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2021). Open Access Series in Informatics (OASIcs), Volume 90, pp. 3:1-3:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{taati:OASIcs.AUTOMATA.2021.3,
  author =	{Taati, Siamak},
  title =	{{Reversible Cellular Automata in Presence of Noise Rapidly Forget Everything}},
  booktitle =	{27th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2021)},
  pages =	{3:1--3:15},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-189-4},
  ISSN =	{2190-6807},
  year =	{2021},
  volume =	{90},
  editor =	{Castillo-Ramirez, Alonso and Guillon, Pierre and Perrot, K\'{e}vin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.AUTOMATA.2021.3},
  URN =		{urn:nbn:de:0030-drops-140128},
  doi =		{10.4230/OASIcs.AUTOMATA.2021.3},
  annote =	{Keywords: Reversible cellular automata, surjective cellular automata, noise, probabilistic cellular automata, ergodicity, entropy, reversible computing, reliable computing, fault tolerance}
}

@InProceedings{taati:OASIcs.AUTOMATA.2021.3,
  author =	{Taati, Siamak},
  title =	{{Reversible Cellular Automata in Presence of Noise Rapidly Forget Everything}},
  booktitle =	{27th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2021)},
  pages =	{3:1--3:15},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-189-4},
  ISSN =	{2190-6807},
  year =	{2021},
  volume =	{90},
  editor =	{Castillo-Ramirez, Alonso and Guillon, Pierre and Perrot, K\'{e}vin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.AUTOMATA.2021.3},
  URN =		{urn:nbn:de:0030-drops-140128},
  doi =		{10.4230/OASIcs.AUTOMATA.2021.3},
  annote =	{Keywords: Reversible cellular automata, surjective cellular automata, noise, probabilistic cellular automata, ergodicity, entropy, reversible computing, reliable computing, fault tolerance}
}

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Reversible Cellular Automata in Presence of Noise Rapidly Forget Everything (Invited Talk)

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