I don't have the time right now to slog through what is probably a very interesting paper, but this did catch my eye "We perform a key algorithmic step the iter

I don't have the time right now to slog through what is probably a very interesting paper, but this did catch my eye "We perform a key algorithmic step the iterative phase estimation algorithm in full, achieving a high level of precision and robustness to error. We implement other algorithmic steps with assistance from a classical computer and explain how this non-scalable approach could be avoided." It sounds like they claim at least part of it they did with real quantum computing. Scanning the paper I think they did some calculations on "real" one and two qubit systems.