Noisy random Boolean formulae:a statistical physics perspective

Mozeika, Alexander, Saad, David and Raymond, Jack (2010). Noisy random Boolean formulae:a statistical physics perspective. Physical Review E, 82 (041112),

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.

Publication DOI: https://doi.org/10.1103/PhysRevE.82.041112
Divisions: Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences
Additional Information: © American Physical Society
Uncontrolled Keywords: computing Boolean circuits,noisy logical gates,Condensed Matter Physics,Statistical and Nonlinear Physics,Statistics and Probability
Full Text Link: http://link.aps ... sRevE.82.041112
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2010-10-14
Authors: Mozeika, Alexander
Saad, David ( 0000-0001-9821-2623)
Raymond, Jack

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