Quantum-Limited Time-Frequency Estimation through Mode-Selective Photon Measurement

Donohue, John M.; Ansari, Vahid; Řeháček, J.; Hradil, Z.; Stoklasa, Bohumil; Paúr, Martin; Sánchez-Soto, Luis L.; Silberhorn, Christine

doi:10.1103/physrevlett.121.090501

Cited by 93 publications

(75 citation statements)

References 50 publications

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“…For small axial separations, this measurement, despite its simplicity, grants an uncertainty independent on the measured mean value of the separation. The analogue in the frequency domain has been considered in [154]; there, they consider the frequency or temporal separation between two mutually-incoherent Gaussian pulses.…”

Section: Multiparameter Estimation In Separation Measurementsmentioning

confidence: 99%

A perspective on multiparameter quantum metrology: From theoretical tools to applications in quantum imaging

et al. 2020

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The interest in a system often resides in the interplay among different parameters governing its evolution. It is thus often required to access many of them at once for a complete description. Assessing how quantum enhancement in such multiparameter estimation can be achieved depends on understanding the many subtleties that come into play: establishing solid foundations is key to delivering future technology for this task. In this article we discuss the state of the art of quantum multiparameter estimation, with a particular emphasis on its theoretical tools, on application to imaging problems, and on the possible avenues towards the next developments.

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Section: Multiparameter Estimation In Separation Measurementsmentioning

confidence: 99%

A perspective on multiparameter quantum metrology: From theoretical tools to applications in quantum imaging

et al. 2020

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“…Donohue and co-workers implemented SPADE in the time or frequency domain for estimating the separation between optical pulses via an interesting nonlinear-optical technique: sum-frequency generation [74]. If the light is combined with a strong local-oscillator pulse in a second-order nonlinear medium with the right phase matching, the Hamiltonian of the sum-frequency generation is the same as that of linear optics [103], and a temporal or spectral mode projection can be implemented if the local oscillator has the desired mode shape and the up-converted signal is measured.…”

Section: F Sum-frequency Generationmentioning

confidence: 99%

Resolving starlight: a quantum perspective

Tsang

2019

Contemporary Physics

103

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The wave-particle duality of light introduces two fundamental problems to imaging, namely, the diffraction limit and the photon shot noise. Quantum information theory can tackle them both in one holistic formalism: model the light as a quantum object, consider any quantum measurement, and pick the one that gives the best statistics. While Helstrom pioneered the theory half a century ago and first applied it to incoherent imaging, it was not until recently that the approach offered a genuine surprise on the age-old topic by predicting a new class of superior imaging methods. For the resolution of two sub-Rayleigh sources, the new methods have been shown theoretically and experimentally to outperform direct imaging and approach the true quantum limits. Recent efforts to generalize the theory for an arbitrary number of sources suggest that, despite the existence of harsh quantum limits, the quantum-inspired methods can still offer significant improvements over direct imaging for subdiffraction objects, potentially benefiting many applications in astronomy as well as fluorescence microscopy.

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“…When is it possible to use the same interferometer for the optimal estimation of multiple parameters? Finally, we expect that our approach can be generalized and applied to extended sources [34], non-weak or non-incoherent sources [24], and to estimate other parameters beyond generalised spatial coordinates, for example spatial moments [46], as well as time and frequency measurements [57,58]. In the main body of the paper, we have obtained expressions for the quantum Fisher information (QFI) and for the classical Fisher information (CFI) for an estimation strategy where the light at the collectors is first processed coherently by a linear interferometer and then measured by photo-detection.…”

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confidence: 99%

Quantum Limits to Incoherent Imaging are Achieved by Linear Interferometry

2020

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We solve the general problem of determining, through imaging, the three-dimensional positions of N weak incoherent point-like emitters in an arbitrary spatial configuration. We show that a structured measurement strategy in which a linear interferometer feeds into an array of photo-detectors is always optimal for this estimation problem, in the sense that it saturates the quantum Cramér-Rao bound. We provide a method for the explicit construction of the optimal interferometer. Further explicit results for the quantum Fisher information and the optimal interferometer design that attains it are obtained for the case of one and two incoherent emitters in the paraxial regime. This work provides insights into the phenomenon of super-resolution through incoherent imaging that has attracted much attention recently. Our results will find a wide range of applications over a broad spectrum of frequencies, from fluorescence microscopy to stellar interferometry. arXiv:1909.09581v3 [quant-ph]

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Quantum-Limited Time-Frequency Estimation through Mode-Selective Photon Measurement

Cited by 93 publications

References 50 publications

A perspective on multiparameter quantum metrology: From theoretical tools to applications in quantum imaging

A perspective on multiparameter quantum metrology: From theoretical tools to applications in quantum imaging

Resolving starlight: a quantum perspective

Quantum Limits to Incoherent Imaging are Achieved by Linear Interferometry

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