Single-photon-added coherent states: Estimation of parameters and fidelity of the optical homodyne detection

Year: 2013

Authors: Filippov S. N., Man’ko V. I., Coelho A.S., Zavatta A., Bellini M.

Autors Affiliation: Moscow Institute of Physics and Technology, 141700 Moscow Region, Russia;
Institute of Physics and Technology, Russian Academy of Sciences, 117218 Moscow, Russia;
P N Lebedev Physical Institute, Russian Academy of Sciences, 119991 Moscow, Russia;
Instituto de Física, Universidade de São Paulo, 05315-970 São Paulo, Brazil;
Istituto Nazionale di Ottica, INO-CNR, Largo Enrico Fermi 6, I-50125 Florence, Italy;
LENS, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Florence, Italy

Abstract: The travelling modes of single-photon-added coherent states (SPACS) are characterized by using optical homodyne tomography. Given a set of experimentally measured quadrature distributions, we estimate parameters of the state and also extract information about the detector efficiency. The method used is minimal distance estimation between theoretical and experimental quantities, which additionally allows to evaluate the precision of the estimated parameters. Given the experimental data, we also estimate the lower and upper bounds on fidelity. The results are believed to encourage a more precise engineering and detection of SPACS.


Volume: T153      Pages from: 014025  to: 014025

More Information: SNF and VIM are grateful to the organizers of the 19th Central European Workshop on Quantum Optics (Sinaia, Romania, 2-6, July 2012) for the invitation and kind hospitality. SNF would like to express his gratitude to the organizing committee of the conference and especially to Dr Aurelian Isar for financial support. SNF and VIM thank the Russian Foundation for Basic Research for partial support under project numbers 10-02-00312-a and 11-02-00456-a and the Ministry of Education and Science of the Russian Federation for partial support under project number 2.1759.2011. SNF also acknowledges support from the Russian Foundation for Basic Research under project number 12-02-31524-mol-a and the Dynasty Foundation ( ASC acknowledges financial support from the Fundacao de Amparo a Pesquisa do Estado Sao Paulo (FAPESP). AZ and MB acknowledge support from Ente Cassa di Risparmio di Firenze, Regione Toscana under the project CTOTUS, the EU under the ERA-NET CHIST-ERA project QSCALE, and the MIUR under the contract FIRB RBFR10M3SB.
KeyWords: Detector efficiency; Estimated parameter; Estimation of parameters; Experimental datum; Extract informations; Homodyne tomography; Lower and upper bounds; Theoretical and experimental, Estimation; Homodyne detection; Optical Kerr effect; Particle beams; Quantum optics, Parameter estimation
DOI: 10.1088/0031-8949/2013/T153/014025

Citations: 13
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