"Quantum supremacy", aside from dumb naming, as far as I understood from news is an attempt to find a possible problem to the solution they have invented (quant

"Quantum supremacy", aside from dumb naming, as far as I understood from news is an attempt to find a possible problem to the solution they have invented (quantum device itself), to prove that their quantum device can do at least something which cannot be replicated with the same magnitude of speed (or at all) on "normal" computers. And it was contested even in such limited scope. OP asks for next step - do some useful computation. Reverse order - have the problem at start (preferably "real" problem) and compute solution to it.