Hybrid Classical-Quantum Sampling for Lattice Scalar Field Theory
- URL: http://arxiv.org/abs/2506.09514v1
- Date: Wed, 11 Jun 2025 08:39:09 GMT
- Title: Hybrid Classical-Quantum Sampling for Lattice Scalar Field Theory
- Authors: Hee-Cheol Kim, Jangho Kim,
- Abstract summary: We investigate lattice scalar field theory in two-dimensional Euclidean space via annealer.<n>We introduce quantum three schemes for rewriting quartic interaction terms through the use of auxiliary qubits.<n>We perform Monte Carlo sampling via the Metropolis-Hastings algorithm and compare the outcomes with those from classical Metropolis simulations.
- Score: 8.65552688277074
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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