Analysis of Superradiance-Based Quantum Metrology under Independent Markovian Pure Dephasing

• URL: http://arxiv.org/abs/2608.03262v1
• Date: Tue, 04 Aug 2026 07:34:49 GMT
• Title: Analysis of Superradiance-Based Quantum Metrology under Independent Markovian Pure Dephasing
• Abstract summary: A DC magnetometry protocol utilizing $N$-spin-ensemble superradiance was proposed.<n>This method physically amplifies the acquired signal, suppressing estimation errors from measurement noise.<n>We investigate the effect of independent Markovian pure dephasing on this protocol using numerical simulations and mean-field analysis.
• Score: 0.055997926295092294
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recently, a DC magnetometry protocol utilizing $N$-spin-ensemble superradiance was proposed. This method physically amplifies the acquired signal, suppressing estimation errors from measurement noise and achieving $\mathcal{O}(1/N)$ precision scaling when measurement noise dominates quantum fluctuations. However, quantum metrology is generally vulnerable to independent Markovian pure dephasing. For instance, the scaling of Greenberger-Horne-Zeilinger (GHZ) state-based magnetometry deteriorates from $\mathcal{O}(1/N)$ to $\mathcal{O}(1/\sqrt{N})$. Although pure dephasing likely degrades superradiant sensing, its quantitative impact remains unclear. Here, we investigate the effect of independent Markovian pure dephasing on this protocol using numerical simulations and mean-field analysis. We demonstrate that, in the large-$N$ limit, the estimation error increase is limited to a constant factor. This sharply contrasts with GHZ-state-based sensing, where the error increases by a factor of $\sqrt{N}$. Our analytical solutions elucidate the physical origin of this robustness qualitatively. These findings establish the high robustness of superradiance-based DC magnetometry against independent Markovian pure dephasing.

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