A measurement-based variational quantum eigensolver

TL;DR

This paper introduces a novel measurement-based approach to variational quantum eigensolvers, leveraging entangled resource states and local measurements to improve resource efficiency and coherence times.

Contribution

It presents two measurement-based VQE schemes, one for constructing variational families and another translating circuit-based schemes into measurement-based ones.

Findings

Reduced resource requirements for certain problems

Enhanced coherence times in measurement-based schemes

Flexible construction of variational families

Abstract

Variational quantum eigensolvers (VQEs) combine classical optimization with efficient cost function evaluations on quantum computers. We propose a new approach to VQEs using the principles of measurement-based quantum computation. This strategy uses entagled resource states and local measurements. We present two measurement-based VQE schemes. The first introduces a new approach for constructing variational families. The second provides a translation of circuit-based to measurement-based schemes. Both schemes offer problem-specific advantages in terms of the required resources and coherence times.