Publication: Metrological resolution and minimum uncertainty states in linear and nonlinear signal detection schemes
Loading...
Official URL
Full text at PDC
Publication Date
2009-12-04
Authors
Maldonado Mundo, Daniel
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Exportar
Abstract
We study the performance of linear and nonlinear optical schemes for the detection of weak signals for two classes of probe states. These are quadrature coherent squeezed states and the minimum uncertainty states of the generator of the transformation and the measured observable. Both for linear and nonlinear schemes we show that the generator-measurement minimum uncertainty states are far from being optimum, while the quadrature coherent squeezed states can reach maximum accuracy almost for the same amount of squeezing in both cases. The analysis is largely based on a suitable approximation treating the photon number as a continuous variable.
Description
©2009 The American Physical Society. A. L. acknowledges support from Project No. FIS200801267 of the Spanish Direccion General de Investigacion del Ministerio de Ciencia e Innovacion.
UCM subjects
Unesco subjects
Keywords
Citation
[1] B. Yurke, S. L. McCall, and J. R. Klauder, Phys. Rev. A 33, 4033 (1986); D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, ibid. 50, 67 (1994); C. Brif and A. Mann, ibid. 54, 4505 (1996); Z. Y. Ou, ibid. 55, 2598 (1997); H. Uys and P. Meystre, ibid. 76, 013804 (2007); U. Dorner, R. Demkowicz-Dobrzanski, B. J. Smith, J. S. Lundeen, W. Wasilewski, K. Banaszek, and I. A. Walmsley, Phys. Rev. Lett. 102, 040403 (2009).
[2] V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. Lett. 96, 010401 (2006).
[3] A. Luis, Phys. Rev. A 76, 035801 (2007).
[4] A. Luis, Phys. Lett. A 329, 8 (2004); S. Boixo, S. T. Flammia, C. M. Caves, and J. M. Geremia, Phys. Rev. Lett. 98, 090401 (2007); S. M. Roy and S. L. Braunstein, ibid. 100, 220501 (2008); S. Boixo, A. Datta, S. T. Flammia, A. Shaji, E. Bagan, and C. M. Caves, Phys. Rev. A 77, 012317 (2008).
[5] J. Beltrán and A. Luis, Phys. Rev. A 72, 045801 (2005).
[6] C. M. Caves, Phys. Rev. D 23, 1693 (1981); M. Xiao, L.-A. Wu, and H. J. Kimble, Phys. Rev. Lett. 59, 278 (1987); P. Grangier, R. E. Slusher, B. Yurke, and A. LaPorta, ibid. 59, 2153 (1987); E. S. Polzik, J. Carri, and H. J. Kimble, ibid. 68, 3020 (1992); A. Luis and L. L. Sánchez-Soto, Opt. Commun. 89, 140 (1992); A. F. Pace, M. J. Collett, and D. F. Walls, Phys. Rev. A 47, 3173 (1993); J. L. Sørensen, J. Hald, and E. S. Polzik, Phys. Rev. Lett. 80, 3487 (1998); H.-A. Bachor, A Guide to Experiments in Quantum Optics (Wiley-VCH, Weinheim, 1998); C. Brif, Phys. Lett. A 263, 15 (1999); N. Treps, U. Andersen, B. Buchler, P. K. Lam, A. Maître, H.-A. Bachor, and C. Fabre, Phys. Rev. Lett. 88, 203601 (2002).
[7] S. Luo and Q. Zhang, Phys. Rev. A 69, 032106 (2004).
[8] V. V. Dodonov, O. V. Man’ko, V. I. Man’ko, and A. Wünsche, J. Mod. Opt. 47, 633 (2000); S. Luo, Phys. Rev. Lett. 91, 180403 (2003); V. V. Dodonov and M. B. Renó, Phys. Lett. A 308, 249 (2003); J. Lee, M. S. Kim, and Č. Brukner, Phys. Rev. Lett. 91, 087902 (2003); M. Hendrych, M. Dušek, R. Filip, and J. Fiurášek, Phys. Lett. A 310, 95 (2003).
[9] A. Rivas and A. Luis, Phys. Rev. A 77, 063813 (2008).
[10] S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72, 3439 (1994); V. Vedral and M. B. Plenio, Phys. Rev. A 57, 1619 (1998).
[11] A. Aragão, P. B. Monteiro, A. T. Avelar, and B. Baseia, Phys. Lett. A 337, 296 (2005); M. Freyberger and W. Schleich, Phys. Rev. A 49, 5056 (1994); A. Luis, Phys. Lett. A 354, 71 (2006).
[12] G. M. D’Ariano, C. Macchiavello, and M. F. Sacchi, Phys. Lett. A 248, 103 (1998); P. Lahti and J.-P. Pellonpää, Phys. Scr. 66, 66 (2002).
[13] T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, New York, 1991).
[14] G. A. Durkin and J. P. Dowling, Phys. Rev. Lett. 99, 070801 (2007).
[15] F. Pennini and A. Plastino, Phys. Lett. A 365, 263 (2007).
[16] A. Luis, Opt. Commun. 273, 173 (2007).
[17] Z. Hradil, Phys. Rev. A 44, 792 (1991); A. Lukš, V. Peřinová, and J. Křepelka, J. Mod. Opt. 41, 2325 (1994).
[18] R. Demkowicz-Dobrzanski, U. Dorner, B. J. Smith, J. S. Lundeen, W. Wasilewski, K. Banaszek, and I. A. Walmsley, Phys. Rev. A 80, 013825 (2009).
[19] L. Pezzé and A. Smerzi, Phys. Rev. Lett. 100, 073601 (2008).
[20] S. Luo, Proc. Am. Math. Soc. 132, 885 (2004).