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This research paper challenges the conventional assumption in quantum metrology that squeezed states inherently surpass the standard quantum limit using fewer resources than classical methods. By demonstrating that a single non-separable squeezed state offers no fundamental precision advantage per unit time over a single particle, the study provides a critical correction to how entanglement benefits are evaluated in sensing applications. This finding is essential for researchers designing quantum sensors who must accurately assess the true resource efficiency of entangled versus separable states.
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Quantum squeezing cannot beat the standard quantum limit

arXiv2 min read

arXiv:2306.14666v4 Announce Type: replace Abstract: Quantum entanglement between particles is expected to allow one to perform tasks that would otherwise be impossible. In quantum sensing and metrology, entanglement is often claimed to enable a measurement precision that cannot be attained with the same number of particles and time, forgoing entanglement. Two distinct approaches exist: creation of entangled states that either i) respond quicker to the signal, or ii) are associated with lower noise and uncertainty. The second class of states are generally called squeezed states. Here we show that if our definition of success is a precision that is impossible to achieve using the same resources but without entanglement then squeezed states cannot succeed. In doing so we show that a single non-separable squeezed state provides fundamentally no better precision, per unit time, than a single particle.

Abstract:Quantum entanglement between particles is expected to allow one to perform tasks that would otherwise be impossible. In quantum sensing and metrology, entanglement is often claimed to enable a measurement precision that cannot be attained with the same number of particles and time, forgoing entanglement. Two distinct approaches exist: creation of entangled states that either i) respond quicker to the signal, or ii) are associated with lower noise and uncertainty. The second class of states are generally called squeezed states. Here we show that if our definition of success is a precision that is impossible to achieve using the same resources but without entanglement then squeezed states cannot succeed. In doing so we show that a single non-separable squeezed state provides fundamentally no better precision, per unit time, than a single particle.

arXiv:2306.14666 [quant-ph]

(or arXiv:2306.14666v4 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2306.14666 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 221 words

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