Naimark extension for the single-photon canonical phase measurement

We address the implementation of the positive operator-valued measure (POVM) describing the optimal M-outcomes discrimination of the polarization state of a single photon. Initially, the POVM elements are extended to projective operators by Naimark theorem, then the resulting projective measure is i...

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Bibliographic Details
Published inarXiv.org
Main Authors Nicola Dalla Pozza, Paris, Matteo G A
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 02.08.2019
Subjects
Optical communication
Phase measurement
Photon counters
Photons
Physics - Quantum Physics
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Summary:We address the implementation of the positive operator-valued measure (POVM) describing the optimal M-outcomes discrimination of the polarization state of a single photon. Initially, the POVM elements are extended to projective operators by Naimark theorem, then the resulting projective measure is implemented by a Knill-Laflamme-Milburn scheme involving an optical network and photon counters. We find the analytical expression of the Naimark extension and the detection scheme that realise it for an arbitrary number of outcomes M = 2^N.
ISSN:2331-8422
DOI:10.48550/arxiv.1904.00632