Bitcoin isn't doomed.
Quantum computers have the potential to be hashing monsters in the near term should anyone come up with a Quantum Miner to crunch SHA256 algos, but the algorithm that protects our keys is Elliptic Curve cryptography based which is many orders or magnitude higher.
That's not to say it's impossible for Quantum Computers to catch up.
But even if this was the case, the moment any real risk came up we always have the option of having Bitcoin's equivalent of a constitutional amendment, a hard fork. Provided it was properly managed, scheduled and agreed on there is no reason a stronger encryption function couldn't be implemented onto the blockchain.
Think about the transition from IPV4 to IPV6 - it didn't stop the old addresses from working, it just added the extra functionality on top and anyone who wanted to take advantage of the new functionality simply opts into it.
Much the same for Bitcoin, there just has to be consensus.
So quit worrying - Bitcoin is community run and can evolve to handle anything that gets thrown at it.
