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One of the first and simplest models of a quantum computer was introduced in 1985 by Richard Feynman. The aim of our study is to extend the application area of Petri Nets, which have been very successfdly used to model classical engineering systems, by modeling the use and operation of Feynman's quantum computer. Originally, Feynman could not give a time bound for the completion of his computer's computation; a periodical measurement procedure was needed giving rise to a specific computational approach. We have chosen Feynman's NOT-computer, in the form of two gates in series, as our object of demonstration; its use and operation have been modeled in detail using Stochastic High Level Petri Net formalism.

The present study implements a generic methodology for describing and analyzing demand supply networks, that is, networks from a company’s suppliers to its customers. There can be many possible demand supply networks with different logistics costs for a product. Therefore, we introduce a Petri Net-based formalism, and a reachability analysis based algorithm that finds the optimum demand supply network for a user-specified product structure. The method has been implemented and is currently in production use inside all Nokia business groups. It is used in demand supply planning of both network elements and handsets. An example of the method’s application to a concrete Nokia product is included.