Sampling the canonical phase from phase-space functions

Details Sampling the canonical phase from phase-space functions Sampling the canonical phase from phase-space functions

2000-04-13

arxiv.org/abs/quant-ph/0004059v1

Phys. Rev. A 62, 063811 (2000)

Physics

Quantum Physics

10 pages, 7 figures, REVTeX

Scientific paper

10.1103/PhysRevA.62.063811

We discuss the possibility of sampling exponential moments of the canonical phase from the s-parametrized phase space functions. We show that the sampling kernels exist and are well-behaved for any s>-1, whereas for s=-1 the kernels diverge in the origin. In spite of that we show that the phase space moments can be sampled with any predefined accuracy from the Q-function measured in the double-homodyne scheme with perfect detectors. We discuss the effect of imperfect detection and address sampling schemes using other measurable phase-space functions. Finally, we discuss the problem of sampling the canonical phase distribution itself.

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