Optimal quantum metrology of distant black bodies

Mark E. Pearce; Earl T. Campbell; Pieter Kok

doi:10.22331/q-2017-07-26-21

Optimal quantum metrology of distant black bodies

Mark E. Pearce, Earl T. Campbell, and Pieter Kok

Department of Physics & Astronomy, University of Sheffield, Sheffield S3 7RH, United Kingdom

Published:	2017-07-26, volume 1, page 21
Eprint:	arXiv:1612.04828v2
Doi:	https://doi.org/10.22331/q-2017-07-26-21
Citation:	Quantum 1, 21 (2017).

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Abstract

Measurements of an object's temperature are important in many disciplines, from astronomy to engineering, as are estimates of an object's spatial configuration. We present the quantum optimal estimator for the temperature of a distant body based on the black body radiation received in the far-field. We also show how to perform separable quantum optimal estimates of the spatial configuration of a distant object, i.e. imaging. In doing so we necessarily deal with multi-parameter quantum estimation of incompatible observables, a problem that is poorly understood. We compare our optimal observables to the two mode analogue of lensed imaging and find that the latter is far from optimal, even when compared to measurements which are separable. To prove the optimality of the estimators we show that they minimise the cost function weighted by the quantum Fisher information---this is equivalent to maximising the average fidelity between the actual state and the estimated one.

► BibTeX data

@article{Pearce2017optimalquantum,
  doi = {10.22331/q-2017-07-26-21},
  url = {https://doi.org/10.22331/q-2017-07-26-21},
  title = {Optimal quantum metrology of distant black bodies},
  author = {Pearce, Mark E. and Campbell, Earl T. and Kok, Pieter},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {1},
  pages = {21},
  month = jul,
  year = {2017}
}

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[2] Mankei Tsang, "Resolving starlight: a quantum perspective", Contemporary Physics 60 4, 279 (2019).

[3] L. A. Howard, G. G. Gillett, M. E. Pearce, R. A. Abrahao, T. J. Weinhold, P. Kok, and A. G. White, "Optimal Imaging of Remote Bodies Using Quantum Detectors", Physical Review Letters 123 14, 143604 (2019).

[4] Yunkai Wang, Yujie Zhang, and Virginia O. Lorenz, "Superresolution in interferometric imaging of strong thermal sources", Physical Review A 104 2, 022613 (2021).

[5] Jesús Rubio, "Quantum scale estimation", Quantum Science and Technology 8 1, 015009 (2023).

[6] Marta Maria Marchese and Pieter Kok, "Large Baseline Optical Imaging Assisted by Single Photons and Linear Quantum Optics", Physical Review Letters 130 16, 160801 (2023).

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[8] Andrzej Chrostowski, Rafał Demkowicz-Dobrzański, Marcin Jarzyna, and Konrad Banaszek, "On super-resolution imaging as a multiparameter estimation problem", International Journal of Quantum Information 15 08, 1740005 (2017).

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The above citations are from Crossref's cited-by service (last updated successfully 2023-06-09 04:23:54) and SAO/NASA ADS (last updated successfully 2023-06-09 04:23:55). The list may be incomplete as not all publishers provide suitable and complete citation data.

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