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Quantum Messages Held Privacy Error Constant

A two-party Hamming-distance protocol separates constant quantum error from classical information-theoretic lower bounds.

Published Updated Story ID: mp-2026-10-03-015
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Summary

A two-party Hamming-distance protocol separates constant quantum error from classical information-theoretic lower bounds.

In a specific honest, nonpreemptive, message-preserving model, the protocol uses linear communication and achieves constant expected error under quantum differential privacy. The separation does not extend to fully retention-robust adversaries, which the paper explicitly distinguishes.

Why it matters

A two-party Hamming-distance protocol separates constant quantum error from classical information-theoretic lower bounds.

Limits and context

  • The separation does not extend to fully retention-robust adversaries, which the paper explicitly distinguishes.

Key claims

  1. A two-party Hamming-distance protocol separates constant quantum error from classical information-theoretic lower bounds.

    Qualification: The separation does not extend to fully retention-robust adversaries, which the paper explicitly distinguishes.

    Evidence: source-2026-10-03-016

Sources

  1. arXiv preprint 2610.02113arXiv · primary research

Corrections

No corrections have been recorded for this story.