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Phys. Rev. A 40, 2847–2849 (1989)

Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase

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K. Vogel and H. Risken
Abteilung für Theoretische Physik, Universität Ulm, D-7900 Ulm, Federal Republic of Germany

Received 5 June 1989; published in the issue dated September 1989

It is shown that the probability distribution for the rotated quadrature phase [a°exp(iθ)+a exp(-iθ)]/2 can be expressed in terms of quasiprobability distributions such as P, Q, and Wigner functions and that also the reverse is true, i.e., if the probability distribution for the rotated quadrature phase is known for every θ in the interval 0≤θ<π, then the quasiprobability distributions can be obtained.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.40.2847
DOI:
10.1103/PhysRevA.40.2847
PACS:
42.50.-p, 03.65.Bz