Optimisation of quantum circuits using cost effective quantum gates

Abstract

The importance of reversible operations has increased with the emergence of new technologies. Reversible operations are crucial for developing energy-efficient and cost-efficient circuits. The efficiency of a quantum circuit is measured in terms of quantum cost and quantum depth. In this paper, we propose an optimisation algorithm for reversible gates like the Peres gate, Toffoli gate, and the entanglement purification method. Peres and Toffoli gates play an important role in quantum circuit implementation, and entanglement purification plays a key role in various applications like quantum teleportation, secure communication, quantum key distribution, etc. The proposed algorithm optimises the quantum cost and quantum depth to 20% compared to the existing approaches. © 2025 Inderscience Enterprises Ltd.