I apologize in advance for being a bit catastrophic, but how feasible is it for the Solana blockchain to defend against Shor's algorithm attacks if, in the distant (or perhaps not-so-distant) future, quantum computers gain enough logical qubits to reveal private keys from public keys in elliptic curve signatures? As far as I know, public keys in Solana are not hidden behind any hash, and each address is essentially a public key.
Assuming hash functions like SHA256 remain unaffected, and thus the logic of programs and PDAs would not be compromised.
I'm not interested in speculating whether such quantum computers will eventually exist, but rather, what would be the potential process for upgrading the entire blockchain in response, and what would happen to coins on addresses that do not migrate to a new type of signature mechanism?
Recently, I came across an interesting tweet from Jameson Lopp, where he quoted Scott Aaronson, suggesting that this era might be approaching faster than we think. Here's the tweet: https://x.com/lopp/status/1845806381091229955.