vm6502q/PyQrackIsing: Experimental Fermi-Hubbard support

After a couple of days of experimenting with Fermi-Hubbard model on an equivalent grid to the earlier transverse field Ising model (TFIM) experiments, we offer up our best attempt at an approximate model for generating measurement samples, as well as a script for validation against a second-order Trotter step in Qiskit (to within the memory limits of local state vector simulation, for Qiskit Aer).

Square magnetization curves produced by Trotterization of Fermi-Hubbard on the original TFIM lattice appear as though they might have 3 dominant frequency mode contributions: these are reasonably well approximated by the Pauli Z, X, and Y axes of the TFIM sampler model. Far from equilibrium, over a depth series of comparisons against Trotterization in Qiskit Aer, XEB degrades gradually with increasing qubit width, while L2 root-sum-square difference of measurement distributions quickly drop below 1% error and continue to shrink with increasing qubit width. We make no guarantees about the correctness of this model or its fitness for any purpose, though the experimental status model is worth sharing and will be updated with any future improvements we find, if possible, and if any.

Full Changelog: https://github.com/vm6502q/PyQrackIsing/compare/v9.10.1...v9.11.0

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