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arXiv · 2112.09083

Preparation of the SU(3) Lattice Yang-Mills Vacuum with Variational Quantum Methods

Anthony N Ciavarella·Ivan A Chernyshev
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Abstract

Studying QCD and other gauge theories on quantum hardware requires the preparation of physically interesting states. The Variational Quantum Eigensolver (VQE) provides a way of performing vacuum state preparation on quantum hardware. In this work, VQE is applied to pure SU(3) lattice Yang-Mills on a single plaquette and one dimensional plaquette chains. Bayesian optimization and gradient descent were investigated for performing the classical optimization. Ansatz states for plaquette chains are constructed in a scalable manner from smaller systems using domain decomposition and a stitching procedure analogous to the Density Matrix Renormalization Group (DMRG). Small examples are performed on IBM's superconducting Manila processor.

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Anthony N Ciavarella, Ivan A Chernyshev. 2021-12-16. Preparation of the SU(3) Lattice Yang-Mills Vacuum with Variational Quantum Methods. https://doi.org/10.1103/physrevd.105.074504

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