Ising machines are interesting, but I don't understand the point of the BAW delay line at all. It doesn't act like an array of coupled oscillators or resonators, just an old-school circulating delay-line memory, right? The kind they used to build with mercury in the days before RoHS was a thing?
If the FPGA is doing the actual matrix math based on measurements of the pulses circulating in the delay line, with no coupling interaction between those pulses, why not just store the phases and amplitudes digitally in block RAM as well?