No "useful" computation yet, but "yes", quantum hardware has been able to sample from some programmable convoluted contrived probability distributions from whic

No "useful" computation yet, but "yes", quantum hardware has been able to sample from some programmable convoluted contrived probability distributions from which classical computer can not sample efficiently. But that is irrelevant here because: More importantly, FHE and post-quantum crypto are two completely orthogonal topics. Homomorphic is the property that (classical or quantum) computation can be performed on the encrypted (classical or quantum) data without decrypting it. Homomorphic encryption with classical data on classical computers is rather difficult and fascinating. Homomorphic encryption on quantum computers is trivially easy (if you already have a standard scalable quantum computer, which do not exist yet). "Post-quantum" is the property that a classical computer can efficiently perform encryption that can not be broken even by a quantum computer.