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Fault Tolerance Protected the Qubit, Not the Telemetry

A 156-qubit processor’s execution record identified a distance-one logical input with total variation of at least 0.927.

Published Updated Story ID: mp-2026-09-10-013
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Summary

A 156-qubit processor’s execution record identified a distance-one logical input with total variation of at least 0.927.

Quantum error-correction hardware emits syndrome, decoder, reset and timing records separately from its logical answer. The paper proves exponentially small logical-input leakage only under explicit locality, correctability and convergence assumptions, with each logical axis paying its own code distance. On a 156-qubit superconducting processor, the sufficient certificate missed by a factor of 21.5 and could not be invoked. Directly measured records from a distance-one memory identified the input with total variation of at least 0.927; randomized encoding returned the statistic to the floor without extra two-qubit gates. The result warns that fault tolerance does not automatically make operational telemetry private.

Why it matters

A 156-qubit processor’s execution record identified a distance-one logical input with total variation of at least 0.927.

Limits and context

  • The paper proves exponentially small logical-input leakage only under explicit locality, correctability and convergence assumptions, with each logical axis paying its own code distance.
  • On a 156-qubit superconducting processor, the sufficient certificate missed by a factor of 21.5 and could not be invoked.
  • The result warns that fault tolerance does not automatically make operational telemetry private.

Key claims

  1. A 156-qubit processor’s execution record identified a distance-one logical input with total variation of at least 0.927.

    Qualification: The paper proves exponentially small logical-input leakage only under explicit locality, correctability and convergence assumptions, with each logical axis paying its own code distance.

    Evidence: source-2026-09-10-013

Sources

  1. arXiv preprint 2609.09334arXiv · primary research

Corrections

No corrections have been recorded for this story.