Esposito, Martina, Randi, Francesco, Titimbo, Kelvin ORCID: 0000-0002-4700-3482, Kourousias, Georgios, Curri, Alessio, Floreanini, Roberto, Parmigiani, Fulvio, Fausti, Daniele, Zimmermann, Klaus ORCID: 0000-0003-3994-2057 and Benatti, Fabio (2016). Quantum interferences reconstruction with low homodyne detection efficiency. EPJ Quantum Technol., 3. NEW YORK: SPRINGER. ISSN 2196-0763

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Abstract

Optical homodyne tomography consists in reconstructing the quantum state of an optical field from repeated measurements of its amplitude at different field phases (homodyne data). The experimental noise, which unavoidably affects the homodyne data, leads to a detection efficiency eta < 1. The problem of reconstructing quantum states from noisy homodyne data sets prompted an intense scientific debate about the presence or absence of a lower homodyne efficiency bound (eta > 0.5) below which quantum features, like quantum interferences, cannot be retrieved. Here, by numerical experiments, we demonstrate that quantum interferences can be effectively reconstructed also for low homodyne detection efficiency. In particular, we address the challenging case of a Schrodinger cat state and test the minimax and adaptive Wigner function reconstruction technique by processing homodyne data distributed according to the chosen state but with an efficiency. < 0.5. By numerically reproducing the Schrodinger's cat interference pattern, we give evidence that quantum state reconstruction is actually possible in these conditions, and provide a guideline for handling optical tomography based on homodyne data collected by low efficiency detectors.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Esposito, MartinaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Randi, FrancescoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Titimbo, KelvinUNSPECIFIEDorcid.org/0000-0002-4700-3482UNSPECIFIED
Kourousias, GeorgiosUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Curri, AlessioUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Floreanini, RobertoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Parmigiani, FulvioUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Fausti, DanieleUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Zimmermann, KlausUNSPECIFIEDorcid.org/0000-0003-3994-2057UNSPECIFIED
Benatti, FabioUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-275971
DOI: 10.1140/epjqt/s40507-016-0045-5
Journal or Publication Title: EPJ Quantum Technol.
Volume: 3
Date: 2016
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 2196-0763
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
LOSS-ERROR COMPENSATION; DENSITY-MATRIX; STATE; TOMOGRAPHY; LIGHTMultiple languages
Quantum Science & Technology; Optics; Physics, Atomic, Molecular & ChemicalMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/27597

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