What question did this study set out to answer?

The study aims to establish a connection between quantum Darwinism and quantum error correction through a new theorem.

June 27, 2026Open Access

Quantum Darwinism as Noisy Syndrome Broadcast: A Stabilizer-QEC Theorem for Objective Records

Key Points

The study aims to establish a connection between quantum Darwinism and quantum error correction through a new theorem.
Introduced a finite-QEC reconstruction framework for objective records.
Developed a theorem on spectrum-broadcast and strong-Darwinism for noisy stabilizer syndrome extraction.
Derived redundancy thresholds and specified the differences between local and global compression.
Established the approximate spectrum-broadcast theorem for stabilizer syndrome extraction supporting nuanced noise management.
Identified Fano-controlled redundancy thresholds essential for effective error correction in quantum systems.
Clarified the relationship between ideal GHZ broadcast and zero-error scenarios, enhancing quantum communication reliability.

Abstract

Quantum Darwinism as Syndrome Broadcast: A Finite-QEC Reconstruction of Objective Records. Up-to-date first-tranche addition: syndrome-broadcast/QEC measurement bridge, record-first reconstruction, pointer-basis/syndrome fan-out and Landauer reset map; build/render checked locally; no matching public Zenodo record or authenticated draft found. This record is part of the finite-QEC substrate / It-from-Bit publication refresh. 2026-06-21 theorem update: Upgrades the paper from a conceptual finite-QEC bridge to a short theorem paper. The new version proves an approximate spectrum-broadcast/strong-Darwinism theorem for noisy stabilizer syndrome extraction, derives Fano-controlled redundancy thresholds, separates ideal GHZ broadcast as the zero-error corollary, and adds an explicit local-versus-globally-compressed Landauer reset ledger. 2026-06-25 canon refresh: Zenodo-synced on 2026-06-21: new-version published as 10.5281/zenodo.20779144 (concept 10.5281/zenodo.20776789); theorem update; local/Zenodo PDF byte-match sha256 357509a2689e72849365c2f88a9313fa2b5d812d2c30e20c98c5e3b0876f4f97. 2026-06-21 canon refresh applied where needed; PDF rebuilt and checked.

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