Quantum-state tomogram from s-parameterized quasidistributions
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Abstract
We find an integral transform realizing the connection between the s-parameterized quasidistributions of a quantum state and its corresponding tomogram, which looks like a Radon transform. We show that the kernel of the new Radon transform is a Gaussian function with s-parameterized dispersion. It can be considered as a broadened delta-function appeared in the standard Radon transform.
Keywords
s-parameterized quasidistribution tomographic symbol diagonal representation Radon transformReferences
- 1.E. Wigner, Phys. Rev., 40, 749 (1932).ADSMATHCrossRefGoogle Scholar
- 2.J. E. Moyal, Proc. Cambridge Philos. Soc., 45, 99 (1949).MathSciNetMATHCrossRefADSGoogle Scholar
- 3.K. Husimi, Proc. Phys. Math. Soc. Jpn, 23, 264 (1940).Google Scholar
- 4.Y. Kano, J. Math. Phys., 6, 1913 (1956).MathSciNetADSCrossRefGoogle Scholar
- 5.R. G. Glauber, Phys. Rev. Lett., 10, 84 (1963).MathSciNetADSCrossRefGoogle Scholar
- 6.E. C. G. Sudarshan, Phys. Rev. Lett., 10, 227 (1963).MathSciNetADSCrossRefGoogle Scholar
- 7.K. Cahill and R. Glauber, Phys. Rev., 177, 1882 (1969).ADSCrossRefGoogle Scholar
- 8.S. Mancini, V. I. Man’ko, and P. Tombesi, Phys. Lett. A, 213, 1 (1996).MathSciNetADSMATHCrossRefGoogle Scholar
- 9.S. Mancini, V. I. Man’ko, and P. Tombesi, Found. Phys., 27, 801 (1997).MathSciNetADSCrossRefGoogle Scholar
- 10.S. Mancini, V. I. Man’ko, and P. Tombesi, J. Mod. Opt., 44, 2281 (1997).MathSciNetADSMATHGoogle Scholar
- 11.V. I. Man’ko and R. V. Mendes, Phys. Lett. A, 263, 53 (1999).MathSciNetADSCrossRefGoogle Scholar
- 12.K. Vogel and H. Risken, Phys. Rev. A, 40, 2847 (1989).ADSCrossRefGoogle Scholar
- 13.D. Stoler, B. E. A. Saleh, and M. C. Teich, Opt. Acta, 32, 345 (1985).MathSciNetADSCrossRefGoogle Scholar
- 14.W. P. Schleich, Quantum Optics in Phase Space, Wiley, Berlin, Germany (2001).MATHCrossRefGoogle Scholar
- 15.M. O. Scully and M. Suhail Zubairy, Quantum Optics, Cambridge University Press, MS (1999).Google Scholar
- 16.M. R. Bazrafkan and V. I. Man’ko, J. Russ. Laser Res., 25, 5 (2004).Google Scholar
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