Towards higher precision and operational use of optical homodyne tomograms

Year: 2012

Authors: Bellini M., Coelho AS., Filippov SN., Man’ko VI., Zavatta A.

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

Abstract: We present the results of an operational use of experimentally measured optical tomograms to determine state characteristics (purity) avoiding any reconstruction of quasiprobabilities. We also develop a natural way how to estimate the errors (including both statistical and systematic ones) by an analysis of the experimental data themselves. Precision of the experiment can be increased by postselecting the data with minimal (systematic) errors. We demonstrate those techniques by considering coherent and photon-added coherent states measured via the time-domain improved homodyne detection. The operational use and precision of the data allowed us to check purity-dependent uncertainty relations and uncertainty relations for Shannon and Renyi entropies.


Volume: 85 (5)      Pages from: 052129  to: 052129

More Information: The authors thank the anonymous referee for insightful and constructive comments. M.B. and A.Z. acknowledge support of Ente Cassa di Risparmio di Firenze, Regione Toscana under project CTOTUS, EU under ERA-NET CHIST-ERA project QSCALE, and MIUR, under contract FIRB RBFR10M3SB. A.S.C. acknowledges total financial support from the Fundacao de Amparo a Pesquisa do Estado Sao Paulo (FAPESP). S.N.F. and V.I.M. thank the Russian Foundation for Basic Research for partial support under projects 10-02-00312 and 11-02-00456 and the Ministry of Education and Science of the Russian Federation for partial support under project No. 2.1759.2011. S.N.F. acknowledges the support of the Dynasty Foundation and the Ministry of Education and Science of the Russian Federation (projects 2.1.1/5909, Pi 558, and 14.740.11.1257).
KeyWords: Experimental data; Homodyne detection; Homodynes; Operational use; Photon-added coherent state; Time domain; Uncertainty relation, Errors; Systematic errors, Time domain analysis
DOI: 10.1103/PhysRevA.85.052129

Citations: 49
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