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A Blind Preparation Outruns the Slow Mode

A clean-chain state can accelerate relaxation in disordered quantum chains without knowing the sample or its disorder distribution.

Published Updated Story ID: mp-2026-11-08-012
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Summary

A clean-chain state can accelerate relaxation in disordered quantum chains without knowing the sample or its disorder distribution.

The strong Mpemba effect normally requires designing an initial state that suppresses a system's slowest mode, but disorder makes that mode sample-specific. The authors derive a fixed preparation from the clean chain and show that it can begin farther from stationarity yet overtake a reference in typical dephased disordered XX chains. An exact inverse-generator identity connects residual overlap to the resistance profile, revealing separate conditions for diffusion and for the expected square-root decay of overlap. The work supplies preparation circuits and a density readout; its evidence is theoretical and finite-size computational, not an experimental speedup.

Why it matters

A clean-chain state can accelerate relaxation in disordered quantum chains without knowing the sample or its disorder distribution.

Limits and context

  • The work supplies preparation circuits and a density readout; its evidence is theoretical and finite-size computational, not an experimental speedup.

Key claims

  1. A clean-chain state can accelerate relaxation in disordered quantum chains without knowing the sample or its disorder distribution.

    Qualification: The work supplies preparation circuits and a density readout; its evidence is theoretical and finite-size computational, not an experimental speedup.

    Evidence: source-2026-11-08-012

Sources

  1. arXiv preprint 2611.08424, original v1arXiv · primary research

Corrections

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