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Hybrid Classical-Quantum Sampling for Lattice Scalar Field Theory

2025/06/11 by Hee‐Cheol Kim, Kim, Hee-Cheol, Jangho Kim +1
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Computing Algorithms and Architecture #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2506.09514

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 Metropolis simulations.

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