AES yes, PGP no. Anything based on the difficulty of discrete logs is done for. There are 2 types that remain secure, schemes based on the difficulty of solving problems in lattices and problems in coding theory. Lattice based cryptography is particularly interesting since all known fully homomorphic encryption schemes use it. If this remains the case, and if FHE matures faster than quantum computers (and it actually has been as far as I can tell) that everyone will switch to lattice based cryptography making quantum computers a little less useful and interesting.
