https://doi.org/10.1140/epjqt/s40507-025-00438-y
Research
Hybrid classical-quantum sampling for lattice scalar field theory
1
POSTECH, Department of Physics, 37673, Pohang, Korea
2
Lattice Gauge Theory Research Center, Department of Physics and Astronomy, Seoul National University, 08826, Seoul, Korea
3
Institute for Advanced Simulation (IAS-4) & JARA-HPC, 52428, Jülich, Germany
a
heecheol1@gmail.com
b
kim.jangho1120@gmail.com
Received:
24
June
2025
Accepted:
27
October
2025
Published online:
19
November
2025
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.
Key words: Hybrid quantum–classical sampling / Quantum annealing / Lattice field theory simulation / Quantum hardware benchmarking / Autocorrelation reduction
© The Author(s) 2025
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