Abstract
Extending the concept of Wehrl's entropy to s-parametrized quasiprobability distributions, as they are observed in optical homodyne detection with realistic detectors, we show that the marginal entropies with respect to phase and amplitude obey a rigourous inequality relation. Relating those entropies to phase and intensity uncertainties, respectively, we arrive at an uncertainty relation for operationally defined phase and intensity that takes explicit account of the noise introduced by non-ideal detectors.
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