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This commentary critically re-evaluates recent claims of unconditional quantum metrological advantage, arguing that the cited protocols fail to demonstrate superiority over classical strategies when total experimental resources are properly accounted for. The analysis highlights a fundamental statistical flaw in interpreting Quantum Fisher Information per photon without considering the full resource cost required to construct valid estimators. For researchers in quantum sensing and estimation theory, this piece offers a necessary correction to performance benchmarks that currently overlook practical implementation constraints.
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Comment on J.Qin et al., Unconditional and Robust Quantum Metrological Advantage beyond N00N States, PRL 130, 070801 (2023) and J.A. H. Nielsen et.al., Deterministic Quantum Phase Estimation beyond N00N States. PRL 130, 123603 (2023)

arXiv2 min read

arXiv:2609.15212v1 Announce Type: new Abstract: The papers by Qin et al. [1] and Nielsen et al. [2] report an unconditional quantum metrological advantage based on squeezed-vacuum phase sensing. The principal evidence for this claim is the Quantum Fisher Information (QFI) evaluated per trial or per detected photon, which is subsequently interpreted as a measure of metrological performance. This interpretation is statistically unjustified because it does not account for the total experimental resources required to construct an estimator. Consequently, the reported protocols do not provide an unconditional metrological advantage over classical phase-sensing strategies when resource accounting is performed consistently.

Title:Comment on J.Qin et al., Unconditional and Robust Quantum Metrological Advantage beyond N00N States, PRL 130, 070801 (2023) and J.A. H. Nielsen et.al., Deterministic Quantum Phase Estimation beyond N00N States. PRL 130, 123603 (2023)

Abstract:The papers by Qin et al. [1] and Nielsen et al. [2] report an unconditional quantum metrological advantage based on squeezed-vacuum phase sensing. The principal evidence for this claim is the Quantum Fisher Information (QFI) evaluated per trial or per detected photon, which is subsequently interpreted as a measure of metrological performance. This interpretation is statistically unjustified because it does not account for the total experimental resources required to construct an estimator. Consequently, the reported protocols do not provide an unconditional metrological advantage over classical phase-sensing strategies when resource accounting is performed consistently.

Comment on arXiv:2302.00940 and arXiv:2111.09756

arXiv:2609.15212 [quant-ph]

(or arXiv:2609.15212v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.15212 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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