A1 Refereed original research article in a scientific journal

Realistic eight-port homodyne detection and covariant phase space observables




AuthorsLahti P, Pellonpaa JP, Schultz J

PublisherTAYLOR & FRANCIS LTD

Publication year2010

JournalJournal of Modern Optics

Journal name in sourceJOURNAL OF MODERN OPTICS

Journal acronymJ MOD OPTIC

Article numberPII 925831079

Number in series13

Volume57

Issue13

First page 1171

Last page1179

Number of pages9

ISSN0950-0340

DOIhttps://doi.org/10.1080/09500340.2010.503013


Abstract
We consider the quantum optical eight-port homodyne detection scheme in the case that each of the associated photon detectors is assigned with a different quantum efficiency. We give a mathematically rigorous and strictly quantum mechanical proof of the fact that the measured observable (positive operator measure) in the high-amplitude limit is a smearing of the covariant phase space observable related to the ideal measurement, that is, the measurement performed with fully efficient detectors. The result is proved for an arbitary parameter field. Furthermore, we investigate some properties of the measured observable. In particular, we show that detector inefficiencies do not affect the observable's ability to distinguish between different states.



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