Optimizing quantum circuits for efficient execution on superconducting hardware: a case study of the Cuccaro adder

Abstract

This technical report delves into the practical aspects of efficiently implementing quantum algorithms on superconducting quantum hardware. A theoretical and practical framework on the compilation of quantum programs is offered. In particular, three fundamental compilation steps are covered: qubit mapping, routing, and gate scheduling. Essential for translating high-level algorithms into real hardware implementations. The Cuccaro adder is used, a contribution to quantum arithmetic that allows efficient addition to be performed using a single ancilla qubit. This report shows the practical application of these compilation phases, with special emphasis on optimizing circuit performance for superconducting quantum hardware.