1 Correction to: Applied Physics B (2020) 126:18 https://doi.org/10.1007/s00340-019-7362-1

The article “Optical image compression and encryption transmission‑based ondeep learning and ghost imaging”, written by “Leihong Zhang, Rui Xiong, Jian Chen, and Dawei Zhang”, was originally published electronically on the publisher’s internet portal (currently SpringerLink) on 23rd December 2019 with open access. With the author(s)’ decision to step back from Open Choice, the copyright of the article changed on 20th January 2020 to © Springer-Verlag GmbH Germany, part of Springer Nature 2020 and the article is forthwith distributed under the terms of copyright.

The original article has been updated.