The logics with probabilistic characterized is suitable for expressing the states of nanoscale device. This paper describes the logics and the using in computing the probability distribution of the nano gate states. It is based on the Markov random field with new features, such as clique potential, initial nodes probability density. We demonstrate the effectiveness of the method by preliminary gates and a judgment circuits. The analysis shows that the device probability distribution highly depends on the system structures and temperature parameters.
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Lu et al. (2007) studied this question.
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