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vm6502q/PyQrackIsing: Experimental Fermi-Hubbard support

Authors: Daniel Strano;

vm6502q/PyQrackIsing: Experimental Fermi-Hubbard support

Abstract

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 sha1sum results: d86890a77a54869ebe14be874af2333f5d6eb000 pyqrackising-9.11.0-py3-none-macosx_14_0_arm64.whl 8f0f5a9c00c6b4705bf7866856fbcde08203c9e4 pyqrackising-9.11.0-py3-none-macosx_15_0_arm64.whl 747733ab2cf0da9b9a447e9fc09d4d3b8c0a95b4 pyqrackising-9.11.0-py3-none-manylinux_2_35_x86_64.whl 8e9ff80754f31e71f122faf11748428b83e33fe1 pyqrackising-9.11.0-py3-none-manylinux_2_39_x86_64.whl 629681305ed1098da692c00701373c717a53e110 pyqrackising-9.11.0-py3-none-win_amd64.whl d6eced7ceff56014ef07cfc8360931deb05ce41f pyqrackising-9.11.0.tar.gz

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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