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dc.contributor.authorLu, Xiao-Ming
dc.contributor.authorKrovi, Hari
dc.contributor.authorNair, Ranjith
dc.contributor.authorGuha, Saikat
dc.contributor.authorShapiro, Jeffrey H.
dc.date.accessioned2020-10-15T20:32:01Z
dc.date.available2020-10-15T20:32:01Z
dc.date.issued2018-12-07
dc.identifier.citationLu, X. M., Krovi, H., Nair, R., Guha, S., & Shapiro, J. H. (2018). Quantum-optimal detection of one-versus-two incoherent optical sources with arbitrary separation. npj Quantum Information, 4(1), 1-8.en_US
dc.identifier.doi10.1038/s41534-018-0114-y
dc.identifier.urihttp://hdl.handle.net/10150/647689
dc.description.abstractWe analyze the fundamental quantum limit of the resolution of an optical imaging system from the perspective of the detection problem of deciding whether the optical field in the image plane is generated by one incoherent on-axis source with brightness. or by two epsilon/2-brightness incoherent sources that are symmetrically disposed about the optical axis. Using the exact thermal-state model of the field, we derive the quantum Chernoff bound for the detection problem, which specifies the optimum rate of decay of the error probability with increasing number of collected photons that is allowed by quantum mechanics. We then show that recently proposed linear-optic schemes approach the quantum Chernoff bound-the method of binary spatial-mode demultiplexing (B-SPADE) is quantum-optimal for all values of separation, while a method using image inversion interferometry (SLIVER) is near-optimal for sub-Rayleigh separations. We then simplify our model using a low-brightness approximation that is very accurate for optical microscopy and astronomy, derive quantum Chernoff bounds conditional on the number of photons detected, and show the optimality of our schemes in this conditional detection paradigm. For comparison, we analytically demonstrate the superior scaling of the Chernoff bound for our schemes with source separation relative to that of spatially resolved direct imaging. Our schemes have the advantages over the quantum-optimal (Helstrom) measurement in that they do not involve joint measurements over multiple modes, and that they do not require the angular separation for the two-source hypothesis to be given a priori and can offer that information as a bonus in the event of a successful detection.en_US
dc.description.sponsorshipZhejiang Provincial Natural Science Foundation of China [LY18A050003]; National Natural Science Foundation of China [61871162, 11805048]; Singapore National Research Foundation [NRF-NRFF2011-07]; Singapore Ministry of Education Academic Research Fund [R-263-000-C06-112]; Defense Advanced Research Projects Agency's (DARPA) Information in a Photon (InPho) program [HR0011-10-C-0159]; REVEAL and EXTREME Imaging program; Air Force Office of Scientific Research [FA9550-14-1-0052]en_US
dc.language.isoenen_US
dc.publisherSPRINGERNATUREen_US
dc.rights© The Author(s) 2018. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.titleQuantum-optimal detection of one-versus-two incoherent optical sources with arbitrary separationen_US
dc.typeArticleen_US
dc.identifier.eissn2056-6387
dc.contributor.departmentUniv Arizona, Coll Opt Scien_US
dc.identifier.journalNPJ QUANTUM INFORMATIONen_US
dc.description.noteOpen access journalen_US
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en_US
dc.eprint.versionFinal published versionen_US
dc.identifier.pii114
dc.source.journaltitlenpj Quantum Information
dc.source.volume4
dc.source.issue1
refterms.dateFOA2020-10-15T20:32:20Z


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© The Author(s) 2018. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
Except where otherwise noted, this item's license is described as © The Author(s) 2018. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.