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Riemannian optimization for linear optical problems — arXiv:2609.07890

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.07890
License (as archived): CC0-1.0
Archived: 2026-10-16T15:44:31.345Z
SHA-256 of the archived text: b21b36959a389537ca33ded9fb7bacccd21fa9ca10f35caa589cf3ac9393403c
Stable URL of this page: https://metraipolis.com/documento/dc_4dbd3ccff04d

How to cite

Riemannian optimization for linear optical problems — arXiv:2609.07890 — arXiv (en), https://arxiv.org/abs/2609.07890 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_4dbd3ccff04d (Metraipolis archive dc_4dbd3ccff04d, sha256 b21b36959a389537ca33ded9fb7bacccd21fa9ca10f35caa589cf3ac9393403c)

BibTeX

@misc{dc4dbd3ccff04d,
  title = {Riemannian optimization for linear optical problems — arXiv:2609.07890},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.07890},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_4dbd3ccff04d; sha256 b21b36959a389537ca33ded9fb7bacccd21fa9ca10f35caa589cf3ac9393403c},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.07890. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Many applications of linear optics in quantum science involve searching for some optimal configuration of a multiport interferometer. For example, to find heralded state preparations, one can optimize the interferometer to maximize the fidelity and success probability of the state preparation. In this paper, we derive a closed analytical formula for the Riemannian gradient of any differentiable function defined over the interferometer unitaries. We use this gradient in Riemannian optimization algorithms, such as gradient descent or BFGS, to find the optimal setup of the interferometer. As an interesting use case, we search for linear optical state preparations, improving some of the success probabilities reported in the literature for NOON or photon catalysis preparations. Finally, we show that our optimizer is orders of magnitude faster than other methods in the literature, opening the door for solving linear optical problems involving more modes and photons.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-09 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.07890 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T15:32:34.825Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-09?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).