Design of reversible Quantum equivalents of classical circuits using Hybrid Quantum Inspired Evolutionary Algorithm

This paper illustrates the application of a Hybrid Quantum Inspired Evolutionary Algorithm (HQIEA) in evolving a variety of Quantum equivalents of classical circuits. Taking the matrix corresponding to an oracle as input, this HIQEA designs classical circuits using quantum gates. A library consisting of single, two and three qubit Quantum gates and the desired circuit matrix were given as input and algorithm was able to successfully design half adder, full adder and binary-gray conversion circuits apart from circuits for two, three and four qubit Boolean functions, using Quantum gates. The circuits obtained compare favorably with earlier attempts in terms of number of gates, ancillary inputs and garbage outputs required for constructing these circuits and the time taken to evolve them.