Digital Boolean Logic Equivalent Reversible Quantum Gates Design

Abstract

Digital logic equivalent quantum gates for easy integration of quantum logic with existing classical counterparts are proposed in this work. The proposed quantum gates are used to develop algorithms to emulate classical logic operations using the matrix transfer function method. The number of ancilla qubits for developing quantum gates is reduced by introducing swap operation. The proposed basic classical gates are implemented and validated for their correctness on IBM quantum experience (IBM QE) by applying 1024, 2048, and 8096 input samples. Subsequently, several classical circuits are realized employing the proposed set of classical equivalent quantum gates, which are validated with a significant number of statistical measurement samples. The resultant probabilistic measurements are more than 72% in favor of all the desired outcome for both basic gates and classical circuits, whereas the cumulative probability of the top two expected qubit states is greater than 95%.