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Physics Reconstructed the Samples the Sensor Never Took

Positive-semidefinite, Toeplitz and low-rank constraints improved sparse quantum-sensing estimates in simulation.

Published Updated Story ID: mp-2026-08-12-018
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Summary

Positive-semidefinite, Toeplitz and low-rank constraints improved sparse quantum-sensing estimates in simulation.

A convex reconstruction method uses universal structure in time-domain correlation functions. In simulated GHZ magnetometry it reduced frequency error in data-starved settings without adding hardware, though it did not generally reach the shot-noise limit.

Why it matters

Positive-semidefinite, Toeplitz and low-rank constraints improved sparse quantum-sensing estimates in simulation.

Limits and context

  • In simulated GHZ magnetometry it reduced frequency error in data-starved settings without adding hardware, though it did not generally reach the shot-noise limit.

Key claims

  1. Positive-semidefinite, Toeplitz and low-rank constraints improved sparse quantum-sensing estimates in simulation.

    Qualification: In simulated GHZ magnetometry it reduced frequency error in data-starved settings without adding hardware, though it did not generally reach the shot-noise limit.

    Evidence: source-2026-08-12-020

Sources

  1. arXiv preprint 2608.11092arXiv · primary research

Corrections

No corrections have been recorded for this story.