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Which state are you converging? A spin audit of sample-based quantum diagonalization benchmarks on iron–sulfur clusters — supplementary code and data | Zenodo

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Published July 20, 2026

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Which state are you converging? A spin audit of sample-based quantum diagonalization benchmarks on iron–sulfur clusters — supplementary code and data

Authors/Creators

Pure State Labs

Vitale, Tyler

Description

This is the data-and-code archive for the preprint "Which state are you converging? A spin audit of sample-based quantum diagonalization benchmarks on iron–sulfur clusters."

Sample-based quantum diagonalization (SQD, also called QSCI) selects electronic configurations from quantum-circuit samples and diagonalizes the Hamiltonian in that subspace. Its iron–sulfur demonstrations, on the [2Fe-2S] and [4Fe-4S] clusters, are among the headline evidence for utility-scale quantum chemistry. This work asks a question the original benchmarks did not: when the projected energy converges, has the calculation actually converged to the target spin state? Using a rotation-invariant spin audit, exact determinant-space ⟨S²⟩, invariant S²-Gram spectra across near-degenerate manifolds, and higher spin moments, it finds that no audited execution returns the named singlet at a competitive energy. At the largest published dimension (5.625×10⁷ determinants), the numerically stable lowest root lies about 170 mHa below the published energy but at ⟨S²⟩ = 1.37, nowhere near a singlet, and the released hardware samples show no energy advantage over their own uniform-random control. The recommendation: measured spin moments should become a required benchmark output.

The archive lets a reader reproduce and check the analysis. Start with START_HERE.md inside the zip. The package holds the paper (Markdown, LaTeX, and PDF), every analysis and figure script, the per-run result archives, a reproduction map tying each headline claim to the artifact and command that regenerate it, and the audit trail.

Four large files ship next to the zip as standalone companions rather than inside it: the flagship-dimension amplitude archive and three certification vector blocks. SHA-256 hashes for the zip and all four companions are recorded in SHA256SUMS inside the package, so every file can be integrity-checked before use.

Files

psl_sqd_supplementary.zip

Files<br>(5.0 GB)

Name<br>Size

flagsolve_n7500_box2.npz

md5:e421883e0f3b57dc269664ea92af0b07

433.5 MB

Download

gram7500_restart.npz

md5:dbb8bb191c18d2bc12a0ea406aefba81

1.4 GB

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gram7500_s4_restart.npz

md5:b99a4966c5d81bcffbf350360c43b17e

1.8 GB

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psl_sqd_supplementary.zip

md5:2e8899394dd24dcb44588ea1fecb369c

100.0 MB

Preview

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tb7500_ck.npz

md5:54e8594806851d415609b829ef1955cf

1.4 GB

Download

Additional details

Software

Repository URL

https://github.com/PureStateLabs/sqd-spin-referee

Programming language

Python

27

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27

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Data volume

Total data volume

3.6 GB<br>3.6 GB

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External resources

Indexed in

OpenAIRE

Communities

Keywords and subjects

Keywords

sample-based quantum diagonalization

QSCI

spin contamination

iron-sulfur clusters

quantum utility

selected configuration interaction

Details

DOI

DOI Badge

DOI

10.5281/zenodo.21359923

Markdown

[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.21359923.svg)](https://doi.org/10.5281/zenodo.21359923)

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.. image:: https://zenodo.org/badge/DOI/10.5281/zenodo.21359923.svg<br>:target: https://doi.org/10.5281/zenodo.21359923

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https://zenodo.org/badge/DOI/10.5281/zenodo.21359923.svg

Target URL

https://doi.org/10.5281/zenodo.21359923

Resource type<br>Dataset

Publisher<br>Zenodo

Languages

English

Rights

License

Creative Commons Attribution 4.0 International

The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited.

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Copyright

Copyright (C) 2026 Pure State Labs Inc.

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Created

July 20, 2026

Modified

July 20, 2026

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