We introduce some necessary conditions for the tomogram-like functions to be true quantum-state tomograms. For this purpose, we employ a map realizing the connection between the Bargmann and tomographic representations of states. In this connection, we discuss the role of analytic behavior of the Bargmann representation of states.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
U. Fano, Rev. Mod. Phys., 29, 74 (1957).
V. N. Chernega and V. I. Man’ko, J. Russ. Laser Res., 32, 2 (2011).
K. Cahill and R. Glauber, Phys. Rev., 177, 1857 (1969).
K. Cahill and R. Glauber, Phys. Rev., 177, 1882 (1969).
S. Mancini, V. I. Man’ko, and P. Tombesi, Phys. Lett. A, 213, 1 (1996).
S. Mancini, V. I. Man’ko, and P. Tombesi, Found. Phys., 27, 801 (1997).
S. Mancini, V. I. Man’ko, and P. Tombesi, J. Mod. Opt., 44, 2281 (1997).
V. I. Man’ko and R. V. Mendes, Phys. Lett. A, 263, 53 (1999).
K. Vogel and H. Risken, Phys. Rev. A, 40, 2847 (1989).
D. T. Smithey, M. Beck, M. G. Raymer, and M. Faridani, Phys. Rev. Lett., 70, 1244 (1993).
M. Paris and J. Rehacek (Eds.), Quantum State Simulation, Springer, Berlin (2004).
A. Vourdas and R. F. Bishop, Phys. Rev. A, 50, 3331 (1994).
A. Vourdas, J. Phys. A: Math. Gen., 39, R65 (2006).
M. R. Bazrafkan, E. Nahvifard, and E. Rafiepoor, J. Russ. Laser Res., 33, 2 (2012).
R. V. Churchill, J. W. Brown, and R. F. Verhey, Complex Variables and Applications, McGraw-Hill (1974).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Nahvifard, E., Bazrafkan, M.R. Some necessary conditions for quantum-state tomograms. J Russ Laser Res 33, 301–306 (2012). https://doi.org/10.1007/s10946-012-9285-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-012-9285-8