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.
@article{arxiv.2010.13940,
title = {A measurement-based variational quantum eigensolver},
author = {Ryan R. Ferguson and Luca Dellantonio and Karl Jansen and Abdulrahim Al Balushi and Wolfgang Dür and Christine A. Muschik},
journal= {arXiv preprint arXiv:2010.13940},
year = {2021}
}
Comments
Five pages of main text and three pages of supplemental material