Shor's algorithm would break the elliptic curve cryptography (ECC) behind Bitcoin, given a cryptographically relevant quantum computer (CRQC) powerful and stable enough to run it at the required scale. No such machine exists today, but any reasonable timeline pointing toward one is now measured in years, rather than decades.
Currently standardized quantum resistant cryptography is available in two families: hash-based and lattice-based cryptography. Not all solutions deploy comfortably on a blockchain, and all major live networks are still at least partially relying on ECC.
That is Bitcoin's position, and while the specifics vary, it is every other major protocol's position too, because they all sign transactions with schemes that reduce to the same underlying mathematical problem. The destination is common, but the routes are not, and most of them were published for the first time in the first half of this year.





