this post was submitted on 14 Mar 2025
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Hell yes! I'd love to share some stuff.
One good example of a quantum computer is the Lukin group neutral atoms work. As the paper discusses, they managed to perform error correction procedures making 48 actual logical qubits and performing operations on them. Still not all that practically useful, but it exists, and is extremely impressive from a physics experiment viewpoint.
There are also plenty of meaningful reports on non-emulated machines from the corporate world. From the big players examples include the Willow chip from Google and Heron from IBM being actual real quantum devices doing actual (albeit basic) operations. Furthermore there are a plethora of smaller companies like OQC and Pasqal with real machines.
On applications, this review is both extensive and sober, outlining the known applications with speedups, costs and drawbacks. Among the most exciting are Fermi-Hubbard model dynamics (condensed matter stuff), which is predicted to have exponential speedup with relatively few resources. These all depend on a relatively narrow selection of tricks, though. Among interesting efforts to fundamentally expand what tricks are available is this work from the Babbush group.
Let me know if that's not what you were looking for.