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Entanglement Closed the Spectrum-Estimation Bound

An estimator matched the lower bound while unentangled strategies paid an extra factor in dimension.

Published Updated Story ID: mp-2026-09-27-019
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Summary

An estimator matched the lower bound while unentangled strategies paid an extra factor in dimension.

The paper gives an optimal quantum spectrum-estimation procedure and separates it from unentangled measurements by a factor tied to system dimension. The authors conjecture the unentangled bound is itself optimal; this is a complexity result, not an experimental measurement.

Why it matters

An estimator matched the lower bound while unentangled strategies paid an extra factor in dimension.

Limits and context

  • The authors conjecture the unentangled bound is itself optimal; this is a complexity result, not an experimental measurement.

Key claims

  1. An estimator matched the lower bound while unentangled strategies paid an extra factor in dimension.

    Qualification: The authors conjecture the unentangled bound is itself optimal; this is a complexity result, not an experimental measurement.

    Evidence: source-2026-09-27-021

Sources

  1. arXiv preprint 2609.30171arXiv · primary research

Corrections

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