Noisy random Boolean formulae:a statistical physics perspective

Abstract

Properties of computing Boolean circuits composed of noisy logical gates are studied using the statistical physics methodology. A formula-growth model that gives rise to random Boolean functions is mapped onto a spin system, which facilitates the study of their typical behavior in the presence of noise. Bounds on their performance, derived in the information theory literature for specific gates, are straightforwardly retrieved, generalized and identified as the corresponding macroscopic phase transitions. The framework is employed for deriving results on error-rates at various function-depths and function sensitivity, and their dependence on the gate-type and noise model used. These are difficult to obtain via the traditional methods used in this field.

Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences
Additional Information: © American Physical Society
Publication ISSN: 1550-2376
Last Modified: 29 Nov 2023 10:23
Date Deposited: 20 Apr 2012 09:23
Full Text Link: http://link.aps ... sRevE.82.041112
10.1103/PhysRevE.82.041112
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2010-10-14
Authors: Mozeika, Alexander
Saad, David
Raymond, Jack

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