Computing Paradigms for Logic Nanocells

Authors: Lyshevski, S.; Shmerko, V.P.; Yanushkevich, S.N.; Geurkov, V.

Source: Journal of Computational and Theoretical Nanoscience, Volume 5, Number 12, December 2008 , pp. 2377-2395(19)

Publisher: American Scientific Publishers

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Abstract:

This paper aims to introduce a novel taxonomy of computing paradigms, as well as models for the implementation of elementary logic functions that are driven by bottom-up molecular and nano-hardware solutions and fabrication technologies. This study focuses on stochastic models for logic nanocells under the influence of random factors (thermodynamic fluctuations, electromagnetic interference, parameter fluctuations, etc.). We systemize and examine various stochastic computing paradigms, while highlighting their most useful properties for nanoscale logic cells. The underlying physics in molecular devices could be entirely different and electrochemomechanical transitions in those devices are characterized by a high level of noise. Essentially, we determine the appropriateness of computational models based on various approaches for the utilization of noise. In cases where measures of phenomenological processes are not available, we propose the use of information-theoretical, probabilistic and possibilistic estimation methods. We propose these measures for nanoscale and demonstrate that the proposed estimates are well suited to analyzing physical phenomena, as well as to evaluating performance characteristics and functionality. Finally, we assess three dimensional topological models based on the proposed data structures.

Keywords: LOGIC NANOCELLS; LOGIC NETWORKS; STOCHASTIC COMPUTING; HOPFIELD NETWORKS; DECISION DIAGRAMS; STOCHASTIC PULSE STREAM ENCODING

Document Type: Review article

DOI: 10.1166/jctn.2008.1205

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