Defining Cryptography

One way functions at the heart of the internet security are hard to break, but that's really subject to changing technology. The invention of quantum computers would actually make factoring as a one way function totally obsolete. A lot of work in research and cryptography right now looking into these one way functions and making them quotunue, quantum safe. After the break, is it possible to future proof inscription, and how answering that question might break the inner net?