  In this report 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.
