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It has been experimentally proven that realizing universal quantum gatesusing higher-radices logic is practically and technologically possible. Wedeveloped a Parallel Genetic Algorithm that synthesizes Boolean reversiblecircuits realized with a variety of quantum gates on qudits with variousradices. In order to allow synthesizing circuits of medium sizes in the higherradix quantum space we performed the experiments using a GPU acceleratedGenetic Algorithm. Using the accelerated GA we compare heuristic improvementsto the mutation process based on cost minimization, on the adaptive cost of theprimitives and improvements due to Baldwinian vs. Lamarckian GA. We alsodescribe various fitness function formulations that allowed for variousrealizations of well known universal Boolean reversible orquantum-probabilistic circuits.

Evolutionary Quantum Logic Synthesis of Boolean Reversible Logic Circuits Embedded in Ternary Quantum Space using Heuristics