Publication: Nonclassicality tests by classical bounds on the statistics of multiple outcomes
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2010-08-18
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American Physical Society
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Abstract
We derive simple practical tests revealing the quantum nature of states by the violation of classical upper bounds on the statistics of multiple outcomes of an observable. These criteria can be expressed in terms of the Kullback-Leibler divergence (or relative entropy). Nonclassicality tests for multiple outcomes can be satisfied by states that do not fulfill the corresponding single-outcome criteria.
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©2010 The American Physical Society. A. L. acknowledges Prof. Ph. Refregier and Dr. A. Rivas for their enlightening discussions. This work has been supported by Project No. FIS2008-01267 of the Spanish Direccion General de Investigacion del Ministerio de Ciencia e Innovacion, and by Project QUITEMAD S2009-ESP-1594 of the Consejeria de Educacion de la Comunidad de Madrid.
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[1] L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, Cambridge, England, 1995); M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, Cambridge, England, 1997); Ch. Gerry and P. Knight, Introductory Quantum Optics (Cambridge University, Cambridge, England, 2004); V. V. Dodonov, J. Opt. B 4, R1 (2002).
[2] A. Rivas and A. Luis, Phys. Rev. A 79, 042105 (2009).
[3] E. C. G. Sudarshan, Phys. Rev. Lett. 10, 277 (1963); R. J. Glauber, Phys. Rev. 131, 2766 (1963).
[4] J. G. Kirkwood, Phys. Rev. 44, 31 (1933); 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); K. E. Cahill and R. J. Glauber, Phys. Rev. 177, 1857 (1969); 177, 1882 (1969); G. S. Agarwal and E. Wolf, Phys. Rev. D 2, 2161 (1970); 2, 2187 (1970); 2, 2206 (1970).
[5] J. A. Vaccaro, Opt. Commun. 113, 421 (1995); Phys. Rev. A 52, 3474 (1995); J. A. Vaccaro and D. T. Pegg, ibid. 41, 5156 (1990); L. M. Johansen, Phys. Lett. A 329, 184 (2004); J. Opt. B 6, L21 (2004); L. M. Johansen and A. Luis, Phys. Rev. A 70, 052115 (2004); A. Luis, ibid. 73, 063806 (2006).
[6] T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley Interscience, New York, 1991).
[7] P.Marian, T. A. Marian, and H. Scutaru, Phys.Rev.A69, 022104 (2004).
[8] L. Mandel, Phys. Scr., T 12, 34 (1986); M. Hillery, Phys. Rev. A 35, 725 (1987); C. T. Lee, ibid. 44, R2775 (1991); 52, 3374 (1995); M. G. Benedict and A. Czirják, ibid. 60, 4034 (1999); V. V. Dodonov, O. V. Man’ko, V. I. Man’ko, and A. Wünsche, J. Mod. Opt. 47, 633 (2000); W. Vogel, Phys. Rev. Lett. 84, 1849 (2000); P. Marian, T. A. Marian, and H. Scutaru, ibid. 88, 153601 (2002); J. M. C. Malbouisson and B. Baseia, Phys. Scr. 67, 93 (2003); V. V. Dodonov and M. B. Ren´o, Phys. Lett. A 308, 249 (2003); J. K. Asbóth, J. Calsamiglia, and H. Ritsch, Phys. Rev. Lett. 94, 173602 (2005).
[9] F. T. Arecchi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A 6, 2211 (1972).
[10] O. Giraud, P. Braun, and D. Braun, Phys. Rev. A 78, 042112 (2008).
[11] A. Luis and N. Korolkova, Phys. Rev. A 74, 043817 (2006).