Blueprint for a digital-analog variational quantum eigensolver using Rydberg atom arrays
Antoine Michel, Sebastián Grijalva, Loïc Henriet, Christophe Domain, Antoine Browaeys
Abstract
We address the task of estimating the ground-state energy of Hamiltonians coming from chemistry. We study numerically the behavior of a digital-analog variational quantum eigensolver for the ${\mathrm{H}}_{2}$, LiH, and ${\mathrm{BeH}}_{2}$ molecules, and we observe that one can estimate the energy to a few percent points of error leveraging on learning the atom register positions with respect to selected features of the molecular Hamiltonian and then an iterative pulse-shaping optimization, where each step performs a derandomization energy estimation.
Topics & Concepts
Hamiltonian (control theory)PhysicsQuantum mechanicsRydberg formulaQuantumBlueprintQuantum computerGround stateAtomic physicsComputer scienceMathematicsMathematical optimizationIonizationIonMechanical engineeringEngineeringQuantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum and electron transport phenomena