Reconstruction of the quantum state of multimode light

H. Kühn, D.-G. Welsch, and W. Vogel
Phys. Rev. A 51, 4240 – Published 1 May 1995
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Abstract

Phase-controlled homodyne 2(N+R)-port detection with R local oscillators is analyzed with the aim of reconstructing the quantum state of a correlated N-mode signal field. It is shown that both the (N+R)-fold joint count distributions and the N-fold joint difference-count distributions contain all knowable information on the state of the field. In any case, the minimum number of local oscillators is given by the number of different signal-field frequencies. Two Fourier integrals per mode are found to be required to reconstruct the density matrix of the signal field from the joint difference-count distributions measured in balanced homodyning. To illustrate the theory, it is applied to balanced homodyne 4N-port detection (R=N). In this scheme, the joint difference-count distributions directly yield the joint field-strength distributions of a correlated N-mode signal field.

  • Received 14 November 1994

DOI:https://doi.org/10.1103/PhysRevA.51.4240

©1995 American Physical Society

Authors & Affiliations

H. Kühn and D.-G. Welsch

  • Theoretisch-Physikalisches Institut, Friedrich-Schiller Universität Jena, Max-Wien Platz 1, D-07743 Jena, Germany

W. Vogel

  • Fachbereich Physik, Universität Rostock, Universitätsplatz 3, Postfach 999, D-18051 Rostock, Germany

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Issue

Vol. 51, Iss. 5 — May 1995

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