From retrodiction to Bayesian quantum imaging

Speirits, F. C. , Sonnleitner, M. and Barnett, S. M. (2017) From retrodiction to Bayesian quantum imaging. Journal of Optics, 19(4), 044001. (doi:10.1088/2040-8986/aa5ccf)

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Abstract

We employ quantum retrodiction to develop a robust Bayesian algorithm for reconstructing the intensity values of an image from sparse photocount data, while also accounting for detector noise in the form of dark counts. This method yields not only a reconstructed image but also provides the full probability distribution function for the intensity at each pixel. We use simulated as well as real data to illustrate both the applications of the algorithm and the analysis options that are only available when the full probability distribution functions are known. These include calculating Bayesian credible regions for each pixel intensity, allowing an objective assessment of the reliability of the reconstructed image intensity values.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Sonnleitner, Dr Matthias and Speirits, Dr Fiona and Barnett, Professor Stephen
Authors: Speirits, F. C., Sonnleitner, M., and Barnett, S. M.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Journal of Optics
Publisher:IOP Publishing
ISSN:2040-8978
ISSN (Online):2040-8986
Published Online:31 January 2017
Copyright Holders:Copyright © 2017 The Authors
First Published:First published in Journal of Optics 19(4):044001
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
6672319UK Quantum Technology Hub in Enhanced Quantum ImagingMiles PadgettEngineering & Physical Sciences Research Council (EPSRC)EP/M01326X/1S&E P&A - PHYSICS & ASTRONOMY
721291Astronomy and physics, theoretical physics and application physics / Quantum Theory. Royal Society Research Professorship.Stephen BarnettRoyal Society (ROYSOC)RP150122S&E P&A - PHYSICS & ASTRONOMY