quantum supremacy
Quantum supremacy is the moment a quantum computer does some specific task that no classical computer could finish in any reasonable amount of time — even if that task is contrived and completely useless. Think of it less like winning a marathon and more like a stunt that proves your new engine can rev higher than any other engine ever built. It does not matter that the stunt goes nowhere; the point is to show that the machine can reach a regime classical hardware simply cannot follow.
The tasks used so far are narrow on purpose. The best-known demonstration asked a quantum processor to sample from the random patterns produced by a fixed sequence of random gates — a problem chosen precisely because it is brutally hard to simulate on a classical computer and easy for the quantum device to just do. The result was a strong signal that the hardware works as advertised, but it solved no practical problem: nobody needs those random samples for anything. Such claims are also moving targets, because cleverer classical algorithms and bigger supercomputers can sometimes shrink the gap after the fact.
So read 'quantum supremacy' as a hardware milestone, not a promise. It says: this device can do at least one thing beyond classical reach. It does not say the device is useful, fault-tolerant, or ready to break encryption or design drugs. We are still in the NISQ era — noisy machines with no large-scale error correction — so the leap from a contrived sampling stunt to a genuinely useful advantage is still very much unfinished work.
Quantum supremacy means 'beyond classical reach on some task,' which is not the same as 'useful' — for that distinction, see quantum advantage.