Investigation of Perturbation Theory with Variational Quantum Algorithm

TL;DR

This paper explores integrating perturbation theory with variational quantum algorithms to enhance quantum simulations, demonstrating promising results that align well with analytical solutions in quantum dynamics.

Contribution

It introduces a novel approach combining perturbation theory with variational quantum algorithms for simulating quantum dynamics.

Findings

Good agreement with analytical calculations

Potential for improved quantum simulations

Feasibility of perturbation methods in VQAs

Abstract

Variational Quantum Algorithms are among the most promising systems to implement quantum computing under the Noisy-Intermediate Scale Quantum (NISQ) technology. In variational quantum algorithm, wavefunction represented by a parametrized ansatz and variational parameters are updated iteratively with a classical computer based on the measurement outputs from the quantum computer. In this paper, we investigate perturbation theory with these algorithms and prospect the possibility of using the variational quantum algorithm to simulate quantum dynamics in perturbation theory. We illustrate the use of algorithms with detailed examples which are in good agreement with analytical calculations