Related papers: Protecting information via probabilistic cellular automata

Protecting information via probabilistic cellular automata

URL: http://arxiv.org/abs/2304.03240v1
Date: Thu, 6 Apr 2023 17:21:39 GMT
Title: Protecting information via probabilistic cellular automata
Authors: Annie Ray, Raymond Laflamme, Aleksander Kubica
Abstract summary: We study a recently-introduced probabilistic cellular automaton, the sweep rule, and map out a region of two coexisting stable phases in the $(T,h)$ plane. Our work is a step towards understanding how simple geometrically-local error-correction strategies can protect information encoded into noisy systems.
Score: 68.8204255655161
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Probabilistic cellular automata describe the dynamics of classical spin models, which, for sufficiently small temperature $T$, can serve as classical memory capable of storing information even in the presence of nonzero external magnetic field $h$. In this article, we study a recently-introduced probabilistic cellular automaton, the sweep rule, and map out a region of two coexisting stable phases in the $(T,h)$ plane. We also find that the sweep rule belongs to the weak two-dimensional Ising universality class. Our work is a step towards understanding how simple geometrically-local error-correction strategies can protect information encoded into complex noisy systems, such as topological quantum error-correcting codes.

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