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Optica Publishing Group
  • International Quantum Electronics Conference
  • 1996 OSA Technical Digest Series (Optica Publishing Group, 1996),
  • paper WC4

Determination of field correlation functions from quadrature component distributions measured with imperfect detectors

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Abstract

The reconstruction of the density matrix of a signal field mode from the measured quadrature component distributions in balanced homodyne detection has attracted much interest since the first experimental demonstration [1], If the density matrix is known any physical quantity of interest can be calculated. However for many practical purposes, eg the characterisation of the photon statistical and squeezing properties of the field, the knowledge of the whole density matrix is not necessary. Rather the lowest order factorial moments of the photon number and phase sensitive moments of the field are sufficient. On the other hand, the knowledge of the whole manifold of normally ordered moments of the field would provide us an alternative way of reconstruction of the density matrix [2]. For that reason it would be of great use to determine these quantities directly from the measured quadrature component distributions. But does there exist a simple formula doing this? An ideal balanced homodyne detector utilizes the interference of the signal field and a strong local oscillator which has an adjustable phase θ and measures the quadrature component operator xθ

© 1996 Optical Society of America

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