Misleading title?
If I were to write an article like this, I would probably choose a more explicit audience from the outset, then cover either a depth-first or breadth-first approach to the subject. A breadth-first approach would be good for a non-technical audience: here are the general types of cryptosystems, here are the ones threatened by quantum computers, here are the ones that are not, here are the current proposals for post-quantum resistant cryptosystems.
On the other hand, were I writing for a technical audience I would assume an understanding of why quantum computers threaten classical cryptography (and why e.g. symmetric encryption is mostly safe), then take a deeper look at each of the post-quantum proposals.