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

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-29
DOI
https://doi.org/10.5281/zenodo.23046443
Primary Topic
Quantum Information and Cryptography
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

Calibrated certification of quantum records with bounded disturbance

Danny Wall
Zenodo (CERN European Organization for Nuclear Research)
Quantum Information and Cryptography
preprint

Calibrated certification of quantum records with bounded disturbance

Danny Wall
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Information and Cryptography
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.