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Thermalization Hid Information as Efficiently as an Optimal Code

Late-time many-body states trace a rate-distance curve that reaches quantum error-correction limits at infinite and finite temperature.

Published Updated Story ID: mp-2026-09-04-013
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Summary

Late-time many-body states trace a rate-distance curve that reaches quantum error-correction limits at infinite and finite temperature.

The work treats typical late-time states as codewords and applies approximate quantum-error-correction tools to thermalizing dynamics. Numerically, the extracted relation among encoding rate, distance and thermal entropy density saturates the quantum Singleton bound at infinite temperature. At finite temperature, the authors define a Scrooge-ensemble code family and prove saturation of the entropic version, while showing how conserved energy or charge can leak classical information until differences reach thermal-fluctuation scale. These are theoretical and numerical results, not a device demonstration.

Why it matters

Late-time many-body states trace a rate-distance curve that reaches quantum error-correction limits at infinite and finite temperature.

Limits and context

  • These are theoretical and numerical results, not a device demonstration.

Key claims

  1. Late-time many-body states trace a rate-distance curve that reaches quantum error-correction limits at infinite and finite temperature.

    Qualification: These are theoretical and numerical results, not a device demonstration.

    Evidence: source-2026-09-04-013

Sources

  1. arXiv preprint 2609.04121arXiv · primary research

Corrections

No corrections have been recorded for this story.