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Quantum-invariant processes in phase space

dc.contributor.authorLuis Aina, Alfredo
dc.date.accessioned2023-06-20T10:57:30Z
dc.date.available2023-06-20T10:57:30Z
dc.date.issued2004-11-29
dc.description©2004 The American Physical Society
dc.description.abstractWe show the formal equivalence between the phase-space representations of transformations and quantum states. We study invariant quantum input-output transformations in phase space and in Hilbert space. We show that all invariant processes are linear transformations while the converse is not true. Some relevant examples of application of these ideas are examined.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/31424
dc.identifier.doi10.1103/PhysRevA.70.052118
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.70.052118
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51513
dc.issue.number5
dc.journal.titlePhysical review A
dc.language.isoeng
dc.page.final052118_7
dc.page.initial052118_1
dc.publisherAmerican Physical Society
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordWigner distribution function
dc.subject.keywordNoncommuting operators
dc.subject.keywordDensity-matrix
dc.subject.keywordQuasiprobability distributions
dc.subject.keywordMacroscopic superpositions
dc.subject.keywordProbability-distributions
dc.subject.keywordState representation
dc.subject.keywordMechanics
dc.subject.keywordDynamics
dc.subject.keywordLight
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleQuantum-invariant processes in phase space
dc.typejournal article
dc.volume.number70
dcterms.references[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] G. S. Agarwal and E. Wolf, Phys. Lett. 26A, 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). [3] C. H. Page, J. Appl. Phys. 23, 103 (1952); H. Margenau and R. N. Hill, Prog. Theor. Phys. 26, 722 (1961); C. L. Mehta, J. Math. Phys. 5, 677 (1964); L. Cohen, ibid. 7, 781 (1966); N. C. Dias and J. N. Prata, Phys. Lett. A 302, 261 (2002); R. Gase, T. Gase, and K. Blüthner, Opt. Lett. 20, 2045 (1995). [4] K. E. Cahill and R. J. Glauber, Phys. Rev. 177, 1857 (1969); 177, 1882 (1969); J. Peøina, Coherence of Light (Reidel, Dordrecht, 1985). [5] D. M. Kaplan and G. C. Summerfield, Phys. Rev. 187, 639 (1969); F. T. Arecchi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A 6, 2211 (1972); N. Mukunda, Am. J. Phys. 47, 182 (1979); J. P. Bizarro, Phys. Rev. A 49, 3255 (1994); J. Vaccaro, ibid. 52, 3474 (1995); Opt. Commun. 113, 421 (1995); G. S. Agarwal, Phys. Rev. A 24, 2889 (1981); M. O. Scully, Phys. Rev. D 28, 2477 (1983); J. C. Várilly and J. M. Gracia-Bondía, Ann. Phys. (N.Y.) 190, 107 (1989); A. Luis and L. L. Sánchez-Soto, Quantum Opt. 5, 33 (1993); G. Ramachandran, A. R. Usha-Devi, P. Devi, and S. Sirsi, Found. Phys. 26, 401 (1996); V. V. Dodonov and V. I. Man’ko, Phys. Lett. A 229, 335 (1997); C. Brif and A. Mann, Phys. Rev. A 59, 971 (1999); S. M. Chumakov, A. Frank, and K. B. Wolf, ibid. 60, 1817 (1999); S. M. Chumakov, A. B. Klimov, and K. B. Wolf, ibid. 61, 034101 (2000); V. P. Karassiov and A. V. Masalov, J. Opt. B: Quantum Semiclassical Opt. 4, S366 (2002). [6] W. K. Wootters, Ann. Phys. (N.Y.) 176, 1 (1987); O. Cohendet, Ph. Combe, M. Sirugue, and M. Sirugue-Collin, J. Phys. A 21, 2875 (1988); D. Galetti, and A. F. R. Toledo Piza, Physica A 149, 267 (1988); J. A. Vaccaro and D. T. Pegg, Phys. Rev. A 41, 5156 (1990); A. Lukš and V. Peøinová, Quantum Opt. 6, 125 (1994); P. Kasperkovitz and M. Peev, Ann. Phys. (N.Y.) 230, 21 (1994); U. Leonhardt, Phys. Rev. Lett. 74, 4101 (1995); Phys. Rev. A 53, 2998 (1996); T. Opatrný, D.-G. Welsch, and B. Bužek, ibid. 53, 3822 (1996); A. Luis and J. Peøina, J. Phys. A 31, 1423 (1998); C. Miquel, J. P. Paz, and M. Saraceno, ibid. 65, 062309 (2002); J. P. Paz, ibid. 65, 062311 (2002). [7] K. Vogel and H. Risken, Phys. Rev. A 40, 2847 (1989); 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). [8] 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). [9] A. Walther, J. Opt. Soc. Am. 58, 1256 (1968); M. J. Bastiaans, Opt. Commun. 25, 26 (1978); 30, 321 (1979); J. Opt. Soc. Am. A 3, 1227 (1986); R. Simon, E. C. G. Sudarshan, and N. Mukunda, Phys. Rev. A 29, 3273 (1984); D. Dragoman, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1997), Vol. 37, p. 1; G. S. Agarwal, J. T. Foley, and E. Wolf, Opt. Commun. 62, 67 (1987); R. Simon, N. Mukunda, and E. C. G. Sudarshan, ibid. 65, 322 (1988); special issue on Wigner function in optics [J. Opt. Soc. Am. A 17(12), 2274 (2000)]. [10] 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); R. Gutzeit, S. Wallentowitz, and W. Vogel, ibid. 61, 062105 (2000); A. M. Childs, I. L. Chuang, and D. W. Leung, ibid. 64, 012314 (2001); J. Fiurášek and Z. Hradil, ibid. 63, 020101(R) (2001); J. Fiurášek, ibid. 64, 024102 (2001); G. M. D’Ariano and P. Lo Presti, Phys. Rev. Lett. 86, 4195 (2001); e-print quant-ph/0211133; F. De Martini, A. Mazzei, M. Ricci, and G. D’Ariano, e-print quant-ph/0210210; J. B. Altepeter, D. Branning, E. Jeffrey, T. C. Wei, P. G. Kwiat, R. T. Thew, J. L. O’Brien, M. A. Nielsen, and A. G. White, Phys. Rev. Lett. 90, 193601 (2003). [11] A. Luis and L. L. Sánchez-Soto, Phys. Lett. A 261, 12 (1999); Phys. Rev. Lett. 83, 3573 (1999); A. Luis, Phys. Rev. A 62, 054302 (2000). [12] J. D. Gaskill, Linear Systems, Fourier Transforms and Optics (Wiley, New York, 1978); J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996). [13] J. Peøina, Quantum Statistics of Linear and Nonlinear Optical Phenomena, 2nd ed. (Kluwer Academic, Dordrecht, 1991). [14] L. Knöll, S. Scheel, E. Schmidt, D.-G. Welsch, and A. V. Chizhov, Phys. Rev. A 59, 4716 (1999). [15] M. Khanbekyan, L. Knöll, A. A. Semenov, W. Vogel, and D.-G. Welsch, Phys. Rev. A 69, 043807 (2004). [16] U. Fano, Rev. Mod. Phys. 29, 74 (1957); A. Royer, Phys. Rev. A 43, 44 (1991). [17] 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). [18] C. M. Caves, Phys. Rev. D 26, 1817 (1982). [19] S. Wallentowitz and W. Vogel, Phys. Rev. A 55, 4438 (1997).
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relation.isAuthorOfPublication.latestForDiscoveryb6f1fe2b-ee48-4add-bb0d-ffcbfad10da2

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