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Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
Abstract
It is shown that the probability distribution for the rotated quadrature phase [${a}^{\mathrm{\ifmmode^\circ\else\textdegree\fi{}}}$exp(i\ensuremath{\theta})+a exp(-i\ensuremath{\theta})]/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 \ensuremath{\theta} in the interval 0\ensuremath{\le}\ensuremath{\theta}<\ensuremath{\pi}, then the quasiprobability distributions can be obtained.
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Citations
Cites
Two-photon coherent states of the radiation field
Yuen, H. P. (1976) · Physical Review A · doi:10.1103/physreva.13.2226 · Cited by 2,074
Walls, D. F. (1983) · Nature · doi:10.1038/306141a0 · Cited by 1,934
Density Operators and Quasiprobability Distributions
Cahill, K. E., & Glauber, R. J. (1969) · Physical Review · doi:10.1103/physrev.177.1882 · Cited by 1,257
Noise in homodyne and heterodyne detection
Yuen, H. P., & Chan, V. W. S. (1983) · Optics Letters · doi:10.1364/ol.8.000177 · Cited by 740
Schumaker, B. L. (1984) · Optics Letters · doi:10.1364/ol.9.000189 · Cited by 244
Measurement of amplitude probability distributions for photon-number-operator eigenstates
Yurke, B., & Stoler, D. (1987) · Physical Review A · doi:10.1103/physreva.36.1955 · Cited by 62
Cited by
Smithey, D. T., Beck, M., Raymer, M. G., & Faridani, A. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1244 · Cited by 1,538
Digital computation of the fractional Fourier transform
Ozaktas, H. M., Arikan, O., Kutay, M. A., & Bozdagt, G. (1996) · IEEE Transactions on Signal Processing · doi:10.1109/78.536672 · Cited by 1,187
Continuous-variable optical quantum-state tomography
Lvovsky, A. I., & Raymer, M. G. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.299 · Cited by 1,123
Generating Optical Schrödinger Kittens for Quantum Information Processing
Ourjoumtsev, A., Tualle-Brouri, R., Laurat, J., & Grangier, P. (2006) · Science · doi:10.1126/science.1122858 · Cited by 911
Experimental Determination of the Motional Quantum State of a Trapped Atom
Leibfried, D., Meekhof, D. M., King, B. E., Monroe, C., Itano, W. M., & Wineland, D. J. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.4281 · Cited by 688
Metadata
- Authors
- Vogel, K., & Risken, H.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1989-09-01
- Volume
- 40
- Issue
- 5
- Pages
- 2847-2849
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2025842401
- Cited by
- 1,309
- References
- 6
- FWCI
- 2.51
- Type
- journal article
- Language
- en
- Open access
- closed
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- Vogel, K., & Risken, H. (1989). Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase. Physical Review A. https://doi.org/10.1103/physreva.40.2847
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