Experimental implementation of quantum greedy optimization on quantum computer

Abstract

This paper implements a quantum greedy optimization algorithm based on the discretization of time evolution (d-QGO). Quantum greedy optimization, which was originally developed for reducing processing time via counterdiabatic driving, sequentially selects a parameter in the counterdiabatic term from the sensitivity analysis of energy and then determines the parameter value. For implementing d-QGO on a quantum computer, the sensitivity analysis may become a bottleneck to find the ground state in a short time due to device and shot noise. In this paper, we present an improved sensitivity analysis for d-QGO that employs a sufficiently large differential interval. We demonstrate that d-QGO reduces the number of shots required to determine the sensitivity while maintaining the success probability.