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A homodyne detector measures a field-amplitude component of the incoming signal. If the incoming signal is in an n-photon eigenstate the homodyne detector's output probability distribution exhibits n fringes. Here the degree to which the visibility of these fringes is degraded by a homodyne detector with less than unit quantum efficiency is evaluated. An experiment employing conjugate pairs of photons generated via a parametric down conversion or four-wave mixing is proposed by which these fringes could be observed.
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Yurke et al. (1987) studied this question.
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