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Hybrid classical-quantum sampling for lattice scalar field theory
Hee-Cheol Kim, Jangho Kim·June 11, 2025·DOI: 10.1140/epjqt/s40507-025-00438-y
Physics
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Abstract
We investigate lattice scalar field theory in two-dimensional Euclidean space via a quantum annealer. To accommodate the quartic interaction terms, we introduce three schemes for rewriting them as quadratic polynomials through the use of auxiliary qubits. These methods are applied on D-Wave quantum annealer, and their effectiveness is assessed by examining the annealer-generated distributions. Using these distributions, we perform Monte Carlo sampling via the Metropolis-Hastings algorithm and compare the outcomes with those from classical local Metropolis simulations.