تقرير
Protecting information via probabilistic cellular automata
العنوان: | Protecting information via probabilistic cellular automata |
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المؤلفون: | Ray, Annie, Laflamme, Raymond, Kubica, Aleksander |
سنة النشر: | 2023 |
المجموعة: | Condensed Matter Quantum Physics |
مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Quantum Physics |
الوصف: | 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. Comment: 7+6.5 pages, 19 figures |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2304.03240 |
رقم الأكسشن: | edsarx.2304.03240 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |