Measurement-Based Variational Quantum Eigensolver

Variational quantum eigensolvers (VQEs) combine classical optimization with efficient cost function evaluations on computers. We propose a new approach to VQEs using the principles of measurement-based computation. This strategy uses entangled resource states and local measurements. present two VQE schemes. The first introduces for constructing variational families. second provides translation circuit- Both schemes offer problem-specific advantages in terms required resources coherence times.Received 5 November 2020Revised 8 March 2021Accepted 9 2021DOI:https://doi.org/10.1103/PhysRevLett.126.220501© 2021 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasMeasurement-based computingQuantum algorithmsQuantum computationQuantum simulationQuantum Information