Towards higher precision and operational use of optical homodyne tomograms

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.

Ente Cassa di Risparmio di Firenze

Ente Cassa di Risparmio di Firenze

Regione Toscana under project CTOTUS

Regione Toscana under project CTOTUS

EU under ERANET CHISTERA

EU under ERA-NET CHIST-ERA

MIUR

MIUR [FIRB RBFR10M3SB]

Fundacao de Amparo a Pesquisa do Estado Sao Paulo (FAPESP)

Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP)

Ministry of Education and Science of the Russian Federation [2.1759.2011, 2.1.1/5909, Pi558, 14.740.11.1257]

Ministry of Education and Science of the Russian Federation

Dynasty Foundation

Dynasty Foundation