In this review article we summarize all experiments claiming quantum computational advantage to date. Our review highlights challenges, loopholes, and refutations appearing in subsequent work to provide a complete picture of the current statuses of these experiments. IIt concludes:
Ultimately, any hypothesized computational advantage must be experimentally performed to be substantiated, and we have seen in this review that experiments can be challenged and refuted. It seems at this moment in history we are just on the boundary between quantum and classical computational advantage, and in the near future we expect the status of computational advantage to continue shifting between quantum and classical.Well, that was unsatisfying. Who is winning, the quantum computers or the classical simulators? Apparently we are right on the edge.
Just wait. Spend a few billion dollars more on experiments. The question may have already been answered in a parallel universe.
It appears that we are also on he edge of artificial general intelligence (AGI). Maybe not yet, but AI has built systems that are better than humans at some tasks. It is not so clear that there are any quantum computers that are better at anything. Stay tuned.
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