Hybrid Classical-Quantum Sampling for Lattice Scalar Field Theory
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909645994459136 |
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| author | Kim, Hee-Cheol Kim, Jangho |
| author_facet | Kim, Hee-Cheol Kim, Jangho |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09514 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hybrid Classical-Quantum Sampling for Lattice Scalar Field Theory Kim, Hee-Cheol Kim, Jangho High Energy Physics - Lattice Quantum Physics 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. |
| title | Hybrid Classical-Quantum Sampling for Lattice Scalar Field Theory |
| topic | High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2506.09514 |