I was under the impression that for any generic symmetric cipher, Grover's
algorithm would halve the strength in bit, for example a 128 bit key would
be as weak against Quantum computers as a current 64 bit key
against normal computers.

This is only approximately true. It's more of a rule of thumb than a final answer. AES-128 is currently believed safe against Grover's. See the conclusion (section 6) in this excellent paper:

https://csrc.nist.gov/csrc/media/Events/2024/fifth-pqc-standardization-conference/documents/papers/on-practical-cost-of-grover.pdf



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