The following paper:
"Mathematics as information compression via the matching and unification of patterns," Complexity, vol. 2019, Article ID 6427493, 25 pages, 2019, DOI: doi.org/10.1155/2019/6427493 (PDF, https://downloads.hindawi.com/journals/complexity/2019/6427493.pdf ).
argues that much of mathematics, perhaps all of it, may be seen as a set of techniques for compressing information, and their application.
I would be glad of help to see whether or how this theory of mathematics may be applied to quantum mechanics.
Please get in touch if you have a good knowledge of quantum mechanics and would be willing to help.
With thanks,
Gerry Wolff