Quantum p-Valued Toffoli and Deutsch Gates with Conjunctive or Disjunctive Mixed Polarity Control

Abstract

In this paper the models of reversible Toffoli and quantum Deutsch gates are extended to the p-valued domain. Their structural parameters are determined and their behavior is proven. Both conjunctive and disjunctive control strategies with positive and mixed polarities are introduced for the first time in a p-valued domain. The design is based on elementary Muthukrishnan-Stroud quantum gates, hence the realizability of the extended gates in the context of ion traps should be possible.