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Article Dans Une Revue Physical Review Letters Année : 2023

Quantum Metrology Using Time-Frequency as Quantum Continuous Variables: Resources, Sub-Shot-Noise Precision and Phase Space Representation

Eloi Descamps
Arne Keller
Pérola Milman

Résumé

We study the role of the electromagnetic field’s frequency on the precision limits of time measurements from a quantum perspective, using single photons as a paradigmatic system. We demonstrate that a quantum enhancement of precision is possible only when combining both intensity and spectral resources and, in particular, that spectral correlations enable a quadratic scaling of precision with the number of probes. We identify the general mathematical structure of nonphysical states that achieve the Heisenberg limit and show how a finite spectral variance may cause a quantum-to-classical-like transition in precision scaling for pure states similar to the one observed for noisy systems. Finally, we provide a clear and consistent geometrical time-frequency phase space interpretation of our results, identifying what should be considered as spectral classical resources.
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Dates et versions

hal-04188984 , version 1 (27-08-2023)

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Eloi Descamps, Nicolas Fabre, Arne Keller, Pérola Milman. Quantum Metrology Using Time-Frequency as Quantum Continuous Variables: Resources, Sub-Shot-Noise Precision and Phase Space Representation. Physical Review Letters, 2023, 131 (3), pp.030801. ⟨10.1103/PhysRevLett.131.030801⟩. ⟨hal-04188984⟩
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