Calibrated certification of quantum records with bounded disturbance
We study certification of records carried by several fragments of one quantum system using repeated calibration preparations. Applying the pure-overlap entropy bound underlying Schumacher's quantum Fano inequality gives a sharp leakage bound on quantum conditional total correlation. An explicit family attains the bound. The calibration protocol combines binomial and multinomial confidence bounds, characterization and source-transfer allowances, directly measured classical information, robust completeness, and an optional coherent-monitor disturbance budget. Version 1.3a adds the quantum Fano attribution, a passing nonorthogonal input example with information margin 0.0776292 bits at joint confidence 0.99, an explicit compatible-source construction, improved leakage combination, clarified physical scope, and REVTeX 4.2 manuscript sources. The AI-use disclosure covers OpenAI Codex and an adversarial review produced with Anthropic Claude. The accompanying files contain verification code, machine-readable results, figure data, hypothetical count vectors, manuscript sources, and build instructions. All 27 numerical diagnostic groups pass. This is theoretical research; no experimental data were collected. Funding: OA Quantum Labs, LLC. No grant funding was used. The author is the founder of OA Quantum Labs, LLC. Licenses: CC BY 4.0 for text, figures, metadata, documentation, and research outputs; MIT for Python source.
Authors
- Danny Wall
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-29
- DOI
- https://doi.org/10.5281/zenodo.23046444
- Primary Topic
- Quantum Information and Cryptography
- Type
- preprint