It was never mentioned in the article so I just looked it up on Wikipedia, but Elliptic curve cryptography is not secure against future quantum computers.
Symmetric algorithms such as AES can have their strength reduced as well, but (I have no sources to cite) I believe this reduces it from 256-bit to 128-bit. At 128 bits of security it is still widely considered safe to use.
When you're measuring "bits of security", you say N=2^k, so a classical computer would take O(2^k) and Grover's would take O(sqrt(2^k)) = O(2^(k/2)), or a reduction from k bits of security from a classical adversary to k/2 bits of security from a quantum adversary.
Hence the wisdom that AES-256 is approximately as secure post-quantum as AES-128 is to classical methods.