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Quantum-Code Correlations Survive Two Noise Regimes

A proof finds exponential decay of conditional mutual information under weak noise and under strong noise when the buffer carries no logical operator.

Published Updated Story ID: mp-2026-10-17-015
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Summary

A proof finds exponential decay of conditional mutual information under weak noise and under strong noise when the buffer carries no logical operator.

For normalized projector states of Z-d qLDPC stabilizer codes, the authors derive system-size-independent bounds and, on finite-dimensional lattices, a quasi-local recovery channel in the weak-noise regime. This is a mathematical stability result, not a hardware demonstration.

Why it matters

A proof finds exponential decay of conditional mutual information under weak noise and under strong noise when the buffer carries no logical operator.

Limits and context

  • This is a mathematical stability result, not a hardware demonstration.

Key claims

  1. A proof finds exponential decay of conditional mutual information under weak noise and under strong noise when the buffer carries no logical operator.

    Qualification: This is a mathematical stability result, not a hardware demonstration.

    Evidence: source-2026-10-17-017

Sources

  1. arXiv preprint 2610.22357, original v1arXiv · primary research

Corrections

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