Measurement-based infused circuits for variational quantum eigensolvers

TL;DR

This paper introduces measurement-based infused circuits for variational quantum eigensolvers, enabling new problem-specific designs and implementations on real quantum hardware for complex physical systems.

Contribution

It extends VQEs to measurement-based quantum computing, allowing for versatile, problem-informed circuit designs and practical demonstrations on superconducting quantum computers.

Findings

Successful VQE simulations of complex systems on real hardware

Demonstrated versatility of measurement-based infused circuits

Enhanced problem-specific quantum circuit design

Abstract

Variational quantum eigensolvers (VQEs) are successful algorithms for studying physical systems on quantum computers. Recently, they were extended to the measurement-based model of quantum computing, bringing resource graph states and their advantages into the realm of quantum simulation. In this work, we incorporate such ideas into traditional VQE circuits. This enables novel problem-informed designs and versatile implementations of many-body Hamiltonians. We showcase our approach on real superconducting quantum computers by performing VQE simulations of testbed systems including the perturbed planar code, Z2 lattice gauge theory, 1D quantum chromodynamics, and the LiH molecule.