Luis Aina, Alfredo2023-06-202023-06-202000-11[1] U. Leonhardt and H. Paul, Prog. Quantum Electron. 19, 89 (1995); U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, Cambridge, England, 1997); D.-G. Welsch, W. Vogel, and T. Opatrný, in Progress in Optics, edited by E. Wolf (Elsevier Science, Amsterdam, 1999), Vol. 39. [2] D. T. Smithey, M. Beck, M. G. Raymer, and A. Faridani, Phys. Rev. Lett. 70, 1244 (1993); S. Schiller, G. Breitenbach, S. F. Pereira, T. Müller, and J. Mlynek, ibid. 77, 2933 (1996); G. Breitenbach, S. Schiller, and J. Mlynek, Nature (London) 387, 471 (1997). [3] D. Leibfried, D. M. Meekhof, B. E. King, C. Monroe, W. M. Itano, and D. J. Wineland, Phys. Rev. Lett. 77, 4281 (1996). [4] M. Wilkens and P. Meystre, Phys. Rev. A 43, 3832 (1991); S. M. Dutra, P. L. Knight, and H. Moya-Cessa, ibid. 48, 3168 (1993); S. M. Dutra and P. L. Knight, ibid. 49, 1506 (1994); M. S. Kim, G. Antesberger, C. T. Bodendorf, and H. Walther, ibid. 58, R65 (1998); P. J. Bardroff, M. T. Fontenelle, and S. Stenholm, ibid. 59, R950 (1999); M. S. Kim and G. S. Agarwal, ibid. 59, 3044 (1999). [5] S. Wallentowitz and W. Vogel, Phys. Rev. Lett. 75, 2932 (1995). [6] J. F. Poyatos, R. Walser, J. I. Cirac, P. Zoller, and R. Blatt, Phys. Rev. A 53, R1966 (1996). [7] J. F. Poyatos, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 78, 390 (1997); I. L. Chuang and M. A. Nielsen, J. Mod. Opt. 44, 2455 (1997); G. M. D’Ariano and L. Maccone, Phys. Rev. Lett. 80, 5465 (1998); V. Bužek, Phys. Rev. A 58, 1723 (1998). [8] A. Luis and L. L. Sánchez-Soto, Phys. Lett. A 261, 12 (1999); Phys. Rev. Lett. 83, 3573 (1999). [9] G. S. Agarwal and E. Wolf, Phys. Lett. A 26, 485 (1968); Phys. Rev. Lett. 21, 180 (1968); G. S. Agarwal, Phys. Rev. 177, 400 (1969); G. S. Agarwal and E. Wolf, Phys. Rev. D 2, 2161 (1970); 2, 2187 (1970); 2, 2206 (1970). [10] K. E. Cahill and R. J. Glauber, Phys. Rev. 177, 1857 (1969); 177, 1882 (1969); J. Peřina, Coherence of Light (D. Reidel, Dordrecht, 1985). [11] K. Vogel and H. Risken, Phys. Rev. A 40, 2847 (1989). [12] U. Fano, Rev. Mod. Phys. 29, 74 (1957); A. Royer, Phys. Rev. A 43, 44 (1991). [13] C. W. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976); H. P. Yuen, Phys. Lett. A 91, 101 (1982). [14] J. W. Noh, A. Fougères, and L. Mandel, Phys. Rev. Lett. 67, 1426 (1991); Phys. Rev. A 45, 424 (1992); 46, 2840 (1992); A. Luis and J. Peřina, Quantum Semiclassic. Opt. 8, 873 (1996). [15] M. J. Bastiaans, Opt. Commun. 25, 26 (1978); G. García Calderón and M. Moshinsky, J. Phys. A 13, L185 (1980); R. Dirl, P. Kasperkovitz, and M. Moshinsky, ibid. 21, 1835 (1988); A. K. Ekert and P. L. Knight, Phys. Rev. A 43, 3934 (1991); A. Luis and L. L. Sánchez-Soto, Quantum Opt. 5, 33 (1993). [16] S. Chountasis, A. Vourdas, and C. Bendjaballah, Phys. Rev. A 60, 3467 (1999). [17] W. Vogel and D.-G. Welsch, Lectures on Quantum Optics (Akademie-Verlag, Berlin, 1994). [18] J. Peřina, Quantum Statistics of Linear and Nonlinear Optical Phenomena (Kluwer Academic, Dordrecht, 1991). [19] J. I. Cirac, A. S. Parkins, R. Blatt, and P. Zoller, Phys. Rev. Lett. 70, 556 (1993); H. Zeng and F. Lin, Phys. Rev. A 52, 809 (1995).1050-294710.1103/PhysRevA.62.054302https://hdl.handle.net/20.500.14352/59684©2000 The American Physical SocietyWe demonstrate the possibility of practical tomographic determination of arbitrary input-output transformations. It is shown that the Liouville-space formalism provides a generalization of standard tomography encompassing the reconstruction of processes as well as of quantum states.engjournal articlehttp://dx.doi.org/10.1103/PhysRevA.62.054302http://journals.aps.org/open access535Phase-space methodsNoncommuting operatorsSqueezed statesTrapped ionMacroscopic superpositionsWigner distributionHomodyne detectionDensity-matrixReconstructionMechanicsÓptica (Física)2209.19 Óptica Física