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Binary Testing Sets a One-Shot Entanglement Rate

Petz recovery and a trace inequality turn distinguishability into explicit finite-resource generation, distillation and transmission guarantees.

Published Updated Story ID: mp-2026-10-25-016
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Summary

Petz recovery and a trace inequality turn distinguishability into explicit finite-resource generation, distillation and transmission guarantees.

The authors bound one-shot entanglement generation over a noisy channel and one-way distillation from a shared state through a binary hypothesis-testing cost. The analysis covers every integer target dimension and rank-deficient states, with explicit logarithmic remainder terms. These are mathematical achievable bounds, not a new physical entanglement experiment.

Why it matters

Petz recovery and a trace inequality turn distinguishability into explicit finite-resource generation, distillation and transmission guarantees.

Limits and context

  • These are mathematical achievable bounds, not a new physical entanglement experiment.

Key claims

  1. Petz recovery and a trace inequality turn distinguishability into explicit finite-resource generation, distillation and transmission guarantees.

    Qualification: These are mathematical achievable bounds, not a new physical entanglement experiment.

    Evidence: source-2026-10-25-018

Sources

  1. arXiv preprint 2610.31501, original v1arXiv · primary research

Corrections

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