Invariants in 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_ | 1866915476855062528 |
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| author | Draux, Sébastien Perdrix, Simon Jeandel, Emmanuel Mansfield, Shane |
| author_facet | Draux, Sébastien Perdrix, Simon Jeandel, Emmanuel Mansfield, Shane |
| contents | Linear optics (LO) prohibits certain transformations. In this paper, we study the conditions for a computation to be possible in LO. We find that there are finitely many polynomials such that each of these polynomials evaluates to the same value on two photonic states if and only if there is a LO circuit transforming one of these states into the other. The proof is non-constructive, so we then focus on methods to find such polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02211 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariants in Linear Optics Draux, Sébastien Perdrix, Simon Jeandel, Emmanuel Mansfield, Shane Quantum Physics Linear optics (LO) prohibits certain transformations. In this paper, we study the conditions for a computation to be possible in LO. We find that there are finitely many polynomials such that each of these polynomials evaluates to the same value on two photonic states if and only if there is a LO circuit transforming one of these states into the other. The proof is non-constructive, so we then focus on methods to find such polynomials. |
| title | Invariants in Linear Optics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.02211 |