It would also be the absolute end of Bitcoin and derivatives, at least as far as I know.
It would also be the absolute end of Bitcoin and derivatives, at least as far as I know.
(Maybe you're making the broader statement, that if QC turns out to make all forms of public key crypto insecure, regardless of the hard problem they're based on, then it won't even be possible to design a working alternative to Bitcoin.)
Not really, because bitcoin only relies on the signature aspect of PKC. So, bitcoin could move over to Lamport signatures, which are not affected by quantum computing.
Lamport signatures are larger than ECDSA signatures, so blockchain bloat would be an issue. But presumably by then hard drives and all other computing specs would have increased substantially.
Here's an interesting article by Vitalik Buterin which explains how the transition could take place: http://bitcoinmagazine.com/6021/bitcoin-is-not-quantum-safe-...
Bitcoin requires secure signing and hashing, which are post-quantum secure (hash functions and Lamport/Merkle signatures).
Bitcoin also relies on elliptic curve crypto, which will fall to QC. Without a replacement, the entire concept of cryptocurrency as we currently know it falls.