Publisher Correction: Determining the optimal communication channels of arbitrary optical systems using integrated photonic processors

Correction to: Nature Photonics https://doi.org/10.1038/s41566-023-01330-w, published online 23 November 2023.

In the version of the article initially published, there were errors in Fig. 1b where the capital and lowercase Ψ and Φ were swapped. In Figs. 1d and f, 2d and 3a–c the Ψ symbols were lowercase and have now been capitalised. The errors have been corrected in the HTML and PDF versions of the article.