Measurement-Based Variational Quantum Eigensolver
R. Ferguson, Luca Dellantonio, Abdulrahim Al Balushi, Karl Jansen, Wolfgang Dür, Christine A. Muschik
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 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.
Topics & Concepts
Computer scienceComputationQuantumQuantum computerCoherence (philosophical gambling strategy)Quantum algorithmFunction (biology)Quantum circuitTranslation (biology)Mathematical optimizationTheoretical computer scienceAlgorithmPhysicsQuantum networkQuantum mechanicsMathematicsEvolutionary biologyChemistryGeneMessenger RNABiochemistryBiologyQuantum Computing Algorithms and ArchitectureQuantum Information and CryptographyNeural Networks and Reservoir Computing