Robust resource-efficient quantum variational ansatz through evolutionary algorithm

TL;DR

This paper introduces an evolutionary algorithm to design resource-efficient, noise-robust variational quantum circuits that adaptively optimize both structure and parameters, improving performance on noisy near-term quantum devices.

Contribution

It presents a novel genome-length-adjustable evolutionary method for designing VQAs that are more robust and resource-efficient without prior circuit assumptions.

Findings

Generated circuits show reduced noise effects and shallower depth.

Accelerated classical optimization with fewer parameters.

Enhanced robustness against both coherent and incoherent noise.

Abstract

Variational quantum algorithms (VQAs) are promising methods to demonstrate quantum advantage on near-term devices as the required resources are divided between a quantum simulator and a classical optimizer. As such, designing a VQA which is resource-efficient and robust against noise is a key factor to achieve potential advantage with the existing noisy quantum simulators. It turns out that a fixed VQA circuit design, such as the widely-used hardware efficient ansatz, is not necessarily robust against imperfections. In this work, we propose a genome-length-adjustable evolutionary algorithm to design a robust VQA circuit that is optimized over variations of both circuit ansatz and gate parameters, without any prior assumptions on circuit structure or depth. Remarkably, our method not only generates a noise-effect-minimized circuit with shallow depth, but also accelerates the classical optimization by substantially reducing the number of parameters. In this regard, the optimized circuit is far more resource-efficient with respect to both quantum and classical resources. As applications, based on two typical error models in VQA, we apply our method to calculate the ground energy of the hydrogen and the water molecules as well as the Heisenberg model. Simulations suggest that compared with conventional hardware efficient ansatz, our circuit-structure-tunable method can generate circuits apparently more robust against both coherent and incoherent noise, and hence is more likely to be implemented on near-term devices.