Marek GluzaDouble-bracket quantum imaginary-time evolution - a #quantum algorithm for implementing ground-states of local Hamiltonians is now published at PRL.
https://journals.aps.org/prl/abstract/10.1103/rw81-k8vk
and the equivalent freely accessible preprint is here
https://arxiv.org/abs/2412.04554
This completes an important milestones in our program researching applications of double-bracket flows to quantum computing.
If you read the paper, I encourage you to think of it as a new proof technique for showing that Grover's circuit ansatz can be used for any hermitian matrix H.
If you will use the paper, I encourage you to complain to e.g. me if something does not seem to perform well because knowing particularly hard instances would be valuable for us to improve on the theory.
If you will just glimpse through the paper, I encourage you to look at the numerics figure and locate the line of about 2k CZ gates which is roughly what Quantinuum can do.
We wouldn't have gotten past the 2nd round of review without the preexisting software #qrisp for quantum compilation functions. You can install qrisp via pip.
Fraunhofer FOKUS
Ross Duncan
