Heterodyne and adaptive phase measurements on states of fixed mean photon number

Details Heterodyne and adaptive phase measurements on states of fixed mean photon number Heterodyne and adaptive phase measurements on states of fixed mean photon number

1998-12-11

arxiv.org/abs/quant-ph/9812023v2

Phys. Rev. A 60, 2458 (1999)

Physics

Quantum Physics

9 pages, 2 figures, minor changes from journal version

Scientific paper

10.1103/PhysRevA.60.2458

The standard technique for measuring the phase of a single mode field is heterodyne detection. Such a measurement may have an uncertainty far above the intrinsic quantum phase uncertainty of the state. Recently it has been shown [H. M. Wiseman and R. B. Killip, Phys. Rev. A 57, 2169 (1998)] that an adaptive technique introduces far less excess noise. Here we quantify this difference by an exact numerical calculation of the minimum measured phase variance for the various schemes, optimized over states with a fixed mean photon number. We also analytically derive the asymptotics for these variances. For the case of heterodyne detection our results disagree with the power law claimed by D'Ariano and Paris [Phys. Rev. A 49, 3022 (1994)].

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