Mixed polarity reversible Peres gates

Reversible Peres gates with more than two all over binary-valued control signals are discussed. Methods are disclosed for the low cost realization of this kind of Peres gates without requiring ancillary lines. It is shown that Peres gates with n control signals may be obtained with a quantum cost of 2n+1 – n – 2, using Feynman gates and controlled gates realizing the κ-th root of NOT, where κ = 2n-1. Proper distribution of the controlled gates and their inverses allow driving the reversible Peres gate with control signals of different polarities.