Quantum Energy–based P Systems

نویسندگان

  • Alberto Leporati
  • Dario Pescini
  • Claudio Zandron
چکیده

Energy–based P systems have been recently defined as P systems in which the amount of energy manipulated and/or consumed during computations is taken into account. In this paper we propose two quantum versions of energy–based P systems. Both versions are defined just like classical energy–based P systems, but for objects and rules. Objects are represented as pure states in the Hilbert space C, whereas the definition of rules differs between the two models. In the former, rules are defined as bijective functions — implemented as unitary operators — which transform the objects from the alphabet. In the latter, rules are defined as generic functions which map the alphabet into itself. Such functions are implemented using a generalization of the Conditional Quantum Control technique, and may yield to non– unitary operators. Finally, we address some problems and outline some directions for future work.

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تاریخ انتشار 2004