Abstract
Optical homodyne tomography is a quantum state determination process, where measured quadrature distributions are averaged with appropriate sampling functions. We propose Gauss filtered back projection when numerically reconstructing the Wigner function. In this way the result is an s-parametrized quasi-probability distribution where the parameter is determined by the filter.
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References
E. Wigner, Phys. Rev. 40 (1932) 749.
U. Leonhardt, Measuring the quantum state of light, Cambridge University Press, Cambridge, 1997; W. Vogel, D.-G. Welsch and T. Opatrný. Prog. Opt. 39 (1999) 63.
D.T. Smithey, M. Beck, M.G. Raymer and A. Faridani, Phys. Rev. Lett. 70 (1993) 1244.
C. Kurtsiefer, T. Pfau and J. Mlynek, Nature 386 (1997) 150.
G.T. Herman, Image reconstruction from projections: the fundamentals of computerized tomography, Academic, New York, 1980; F. Natterer, The mathematics of computerized tomography. Wiley, Chichester, 1986.
K. Vogel and H. Risken, Phys. Rev. A 40 (1989) 2847.
G.M. D’Ariano, C. Macchiavello and M.G.A. Paris, Phys. Rev. A 50 (1994) 4298.
U. Leonhardt, M. Munroe, T. Kiss, M.G. Raymer and Th. Richter, Opt. Commun. 127 (1996) 144.
A. Wünsche, J. Mod. Opt. 44 (1997) 2293; J. Mod. Opt. 47 (2000) 33.
Th. Richter, J. Opt. B: Quantum Semiclass. Opt. 1 (1999) 650.
Th. Richter, Phys. Rev. A 61 (2000) 063819.
A. Zavatta et al., J. Opt. Soc. Am. B 19 (2002) 1189.
Z. Kis, T. Kiss, J. Janszky, P. Adam, S. Wallentowitz and W. Vogel, Phys. Rev. A 59 (1999) R39.
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Kiss, T., Adam, P. & Janszky, J. Gauss filtered back projection for the reconstruction of the Wigner function. Acta Phys. Hung. B 20, 47–50 (2004). https://doi.org/10.1556/APH.20.2004.1-2.10
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DOI: https://doi.org/10.1556/APH.20.2004.1-2.10