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Noisy Error Correction Matched the Spacetime Bound

Quantum Tanner codes attain optimal scaling given long-range connectivity and fast reliable classical processing.

Published Updated Story ID: mp-2026-10-05-017
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Summary

Quantum Tanner codes attain optimal scaling given long-range connectivity and fast reliable classical processing.

The construction counts preparation, gates, measurements and waits, adds only logarithmic shared overhead, and reaches exponentially small per-step failure in the authors' noise model.

Why it matters

Quantum Tanner codes attain optimal scaling given long-range connectivity and fast reliable classical processing.

Limits and context

  • The construction counts preparation, gates, measurements and waits, adds only logarithmic shared overhead, and reaches exponentially small per-step failure in the authors' noise model.

Key claims

  1. Quantum Tanner codes attain optimal scaling given long-range connectivity and fast reliable classical processing.

    Qualification: The construction counts preparation, gates, measurements and waits, adds only logarithmic shared overhead, and reaches exponentially small per-step failure in the authors' noise model.

    Evidence: source-2026-10-05-019

Sources

  1. arXiv preprint 2610.03684arXiv · primary research

Corrections

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