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Re:Design of a silicon quantum computer chip by zamalek on Monday December 18, 2017 @04:04PM (#15955491)
Merkle-Damgard hash functions (such as SHA256) are merely weakened by QC. SHA256 is considered good enough and as such, BTC mining should be able to weather QC. There is a variant of Shor's Algorithm that can solve ECDSA, so you might have problems with your BTC wallet; a fork using a new resistant asymmetric algorithm would be needed.

Memory-constrained algorithms, such as scrypt, should be quantum resistant based on what I know (which isn't much). If I'm not horribly misinformed, LTC mining should therefore be resistant. Again, LTC wallets would face problems.

Re:Design of a silicon quantum computer chip by rocqua on Monday December 18, 2017 @05:32PM (#15956113)
Does the same hold for hashes based non on Merkle-Damgard but the sponge construction?
Re:Design of a silicon quantum computer chip by zamalek on Monday December 18, 2017 @10:13PM (#15957444)
It looks like we don't know, excluding some very specific sponge functions, based on some quick research.[1][2]

[1]: https://eprint.iacr.org/2017/771.pdf [2]: https://crypto.stackexchange.com/questions/419/what-security... (NB: comments)