  The non-Euclidean nature of the mathematical model of quantum circuits leaves
open the question of their practical implementation in hardware platforms which
necessarily reside in the Euclidean space $\mathbb{R}^3$. On the other hand,
reversible circuits are elements of Euclidean spaces, making their physical
realization in hardware platforms possible and practical. Here, the quantum
circuit model for quantum computing is mapped into that of reversible computing
in a mathematically robust fashion using Nash embedding so that every quantum
computation can be realized as an equivalent reversible one.
