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arXiv · 2010.13940

A measurement-based variational quantum eigensolver

Ryan R. Ferguson·Luca Dellantonio·Karl Jansen·Abdulrahim Al Balushi·Wolfgang Dür·Christine A. Muschik
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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.

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Ryan R. Ferguson, Luca Dellantonio, Karl Jansen, Abdulrahim Al Balushi, Wolfgang Dür, Christine A. Muschik. 2021-03-15. A measurement-based variational quantum eigensolver. https://doi.org/10.1103/physrevlett.126.220501

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