Publication: Maximum likelihood state between measurements
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2009-09-02
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American Physical Society
Abstract
We estimate the quantum state of a system between two measurements via a maximum likelihood strategy. This incorporates all the information provided by preselection and postselection in a legitimate quantum state. Moreover, it allows to include any other constraint derived from practical considerations.
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©2009 The American Physical Society. This work was supported by Project No. FIS2008-01267 of the Spanish Direccion General de Investigacion del Ministerio de Ciencia e Innovacion.
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[1] Y. Aharonov, P. G. Bergmann, and J. L. Lebowitz, Phys. Rev. 134, B1410 (1964); R. H. Penfield, Am. J. Phys. 34, 422 (1966); Y. Aharonov and D. Z. Albert, Phys. Rev. D 29, 223 (1984_; D. Z. Albert, Y. Aharonov, and S. D’Amato, Phys. Rev. Lett. 54, 5 (1985); Y. Aharonov and L. Vaidman, J. Phys. A 24, 2315 (1991).
[2] O. Cohen, Phys. Rev. A 51, 4373 (1995); 56, 5191 (1997); L. Vaidman, ibid. 57, 2251 (1998).
[3] D. T. Pegg and S. M. Barnett, J. Opt. B: Quantum Semiclassical Opt. 1, 442 (1999); S. M. Barnett, D. T. Pegg, and J. Jeffers, J. Mod. Opt. 47, 1779 (2000).
[4] K. R. W. Jones, Ann. Phys. (N.Y. ) 207, 140 (1991); Phys. Rev. A 50, 3682 (1994).
[5] Z. Hradil, Phys. Rev. A 55, R1561 (1997).
[6] R. Schack, T. A. Brun, and C. M. Caves, Phys. Rev. A 64, 014305 (2001).
[7] Quantum State Estimation, Springer Lecture Notes in Physics Vol. 649, edited by M. G. A. Paris and J. Řeháček (Springer, Berlin, 2004).
[8] V. Bužek, G. Adam, and G. Drobný, Ann. Phys. (N.Y.) 245, 37 (1996).
[9] A. Luis, Phys. Rev. A 67, 032108 (2003); B. Baseia, A. F. de Lima, and G. C. Marques, Phys. Lett. A 204, 1 (1995); A. F. De Lima, B. Baseia, and G. C. Marques, J. Mod. Opt. 43, 729 (1996).
[10] Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988); Y. Aharonov and L. Vaidman, Phys. Rev. A 41, 11 (1990); L. M. Johansen, Phys. Rev. Lett. 93, 120402 (2004); L. M. Johansen and A. Luis, Phys. Rev. A 70, 052115 (2004).
[11] L. M. Johansen, Phys. Lett. A 322, 298 (2004).
[12] L. Hardy, Phys. Rev. Lett. 68, 2981 (1992); W. T. M. Irvine, J. F. Hodelin, Ch. Simon, and D. Bouwmeester, ibid. 95, 030401 (2005); J. S. Lundeen and A. M. Steinberg, ibid. 102, 020404 (2009).
[13] A. C. Elitzur and L. Vaidman, Found. Phys. 23, 987 (1993); L. Vaidman, Quantum Opt. 6, 119 (1994); P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, Phys. Rev. Lett. 74, 4763 (1995); P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. Kasevich, Ann. N.Y. Acad. Sci. 755, 383 (1995); A. Luis and L. L. Sánchez-Soto, Phys. Rev. A 58, 836 (1998).