A1 Refereed original research article in a scientific journal
Realistic eight-port homodyne detection and covariant phase space observables
Authors: Lahti P, Pellonpaa JP, Schultz J
Publisher: TAYLOR & FRANCIS LTD
Publication year: 2010
Journal: Journal of Modern Optics
Journal name in source: JOURNAL OF MODERN OPTICS
Journal acronym: J MOD OPTIC
Article number: PII 925831079
Number in series: 13
Volume: 57
Issue: 13
First page : 1171
Last page: 1179
Number of pages: 9
ISSN: 0950-0340
DOI: https://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.
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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