Inefficient eight-port homodyne detection and covariant phase space observables

Details Inefficient eight-port homodyne detection and covariant phase space observables Inefficient eight-port homodyne detection and covariant phase space observables

2010-04-28

arxiv.org/abs/1004.5006v1

J. Mod. Opt. 57 (2010) 1171-1179

Physics

Quantum Physics

13 pages, 2 figures

Scientific paper

10.1080/09500340.2010.503013

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. The result is proved for an arbitary parameter field. Furthermore, we investigate some properties of the measured observable. In particular, we show that the state distinguishing power of the observable is not affected by detector inefficiencies.

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