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Authors
Advisor(s)
Abstract(s)
This paper addresses the concept of negative probability and its impact upon entropy. An anal-ogy between the probability generating functions, in the scope of quasiprobability distribu-tions, and the Grünwald–Letnikov definition of fractional derivatives, is explored. Two distinct cases producing negative probabilities are formulated and their distinct meaning clarified. Nu-merical calculations using the Shannon entropy characterize further the characteristics of the two limit cases.
Description
Keywords
Entropy Negative probability Fractional calculus Quasiprobability distributions
Citation
Publisher
Elsevier