Published June 5, 2026
| Version v1.0.0
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earldecker-blip/quantum-mertens-spectroscopy: Mertens Spectroscopy v1.0 — IBM Hardware Paper
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Description
Initial release: Bell-pair XX correlator spectroscopy of the Mertens weight function f(n)=ln(n)/n on IBM ibm_marrakesh (156-qubit Eagle processor).
Experiments 6–8:
- Experiment 6: Prime spectral isolation — all 6 conditions resolved with r > 0.991
- Experiment 7: Precision floor Δf = 0.00157 (N=4096 shots, 1250 α-steps)
- Experiment 8: Complete Mertens spectrum n=2–20 with <1.5% error Includes all Python scripts, IBM job result JSON files, and paper figures.
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earldecker-blip/quantum-mertens-spectroscopy-v1.0.0.zip
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Related works
- Is supplement to
- Software: https://github.com/earldecker-blip/quantum-mertens-spectroscopy/tree/v1.0.0 (URL)