Feynman path sum approach for simulation of linear optics
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915586890530816 |
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| author | Balthazar, Wagner F. Palmer, Quinn M. B. Jones, Alex. E. Bulmer, Jake F. F. Galvão, Ernesto. F. |
| author_facet | Balthazar, Wagner F. Palmer, Quinn M. B. Jones, Alex. E. Bulmer, Jake F. F. Galvão, Ernesto. F. |
| contents | The Feynman path integral formalism has inspired the development of memory-efficient and parallelizable classical algorithms for simulating quantum computers. We adapt this approach for the calculation of probability amplitudes of linear-optical boson sampling experiments, which involve Fock-state inputs, linear optical circuits, and photo-detection at the output. We describe this simulation method and compare it with alternative approaches. Additionally, we implement a Linear-Optical Feynman Path simulator in open-source C code, enhancing its performance using tensor contraction techniques. Our method is benchmarked for low-depth linear optical circuits, where it offers advantages in runtime and memory efficiency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26408 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Feynman path sum approach for simulation of linear optics Balthazar, Wagner F. Palmer, Quinn M. B. Jones, Alex. E. Bulmer, Jake F. F. Galvão, Ernesto. F. Quantum Physics The Feynman path integral formalism has inspired the development of memory-efficient and parallelizable classical algorithms for simulating quantum computers. We adapt this approach for the calculation of probability amplitudes of linear-optical boson sampling experiments, which involve Fock-state inputs, linear optical circuits, and photo-detection at the output. We describe this simulation method and compare it with alternative approaches. Additionally, we implement a Linear-Optical Feynman Path simulator in open-source C code, enhancing its performance using tensor contraction techniques. Our method is benchmarked for low-depth linear optical circuits, where it offers advantages in runtime and memory efficiency. |
| title | Feynman path sum approach for simulation of linear optics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.26408 |