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This research advances quantum metrology by utilizing sequential weak measurements to mitigate phase slip errors in optical atomic clocks, thereby extending their dynamic range beyond conventional limits. The protocol combines ancilla qubits with coherent spin states to asymptotically approach noiseless precision benchmarks while suppressing decoherence effects from local oscillator instability.
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Extending the dynamic range in quantum frequency estimation with sequential weak measurements

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arXiv:2509.01474v2 Announce Type: replace Abstract: Quantum metrology explores optimal quantum protocols for parameter estimation. In the context of optical atomic clocks, conventional protocols focus on optimal input states and measurements to achieve enhanced sensitivities. However, such protocols are typically limited by phase slip errors inflicted due to the decoherence of the local oscillator. Here, we study schemes to extend the dynamic range and overcome phase slip noise through weak measurements with ancilla qubits. Using coherent spin states, we find optimal weak measurements protocols: we identify optimal measurement strength for any given interrogation time and number of atoms. Then, we combine weak and projective measurements to construct a protocol that asymptotically saturates the noiseless precision limits, and outperforms previously proposed methods for phase slip noise suppression.

Abstract:Quantum metrology explores optimal quantum protocols for parameter estimation. In the context of optical atomic clocks, conventional protocols focus on optimal input states and measurements to achieve enhanced sensitivities. However, such protocols are typically limited by phase slip errors inflicted due to the decoherence of the local oscillator. Here, we study schemes to extend the dynamic range and overcome phase slip noise through weak measurements with ancilla qubits. Using coherent spin states, we find optimal weak measurements protocols: we identify optimal measurement strength for any given interrogation time and number of atoms. Then, we combine weak and projective measurements to construct a protocol that asymptotically saturates the noiseless precision limits, and outperforms previously proposed methods for phase slip noise suppression.

arXiv:2509.01474 [quant-ph]

(or arXiv:2509.01474v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2509.01474 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. Research 8, L022046 (2026)

https://doi.org/10.1103/2hyn-cqlq Focus to learn more DOI(s) linking to related resources

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