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In this report reversible Toffoli and quantum Deutsch gates are extended tothe p_valued domain. Their structural parameters are determined and theirbehavior is proven. Both conjunctive and disjunctive control strategies withpositive and mixed polarities are introduced for the first time in a p_valueddomain. The design is based on elementary Muthukrishnan_Stroud quantum gates,hence the realizability of the extended gates in the context of ion trapsshould be possible.

Realization of p_valued Deutsch quantum gates