Measurement-Based Variational Quantum Eigensolver

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 entangled 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- to measurement-based schemes. Both schemes offer problem-specific advantages in terms of the required resources and coherence times.

Automated summary

This approach utilizes measurement-based quantum computation principles, involving entangled resource states and local measurements, and presents two measurement-based VQE schemes, introducing a new method for constructing variational families and translating circuit-based schemes. Both schemes offer specific advantages in terms of required resources and coherence times.