Publication:
Precision quantum metrology and nonclassicality in linear and nonlinear detection schemes

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2010-06-30
Authors
Rivas, Ángel
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
We examine whether metrological resolution beyond coherent states is a nonclassical effect. We show that this is true for linear detection schemes but false for nonlinear schemes, and propose a very simple experimental setup to test it. We find a nonclassicality criterion derived from quantum Fisher information.
Description
© 2010. The American Physical Society. A. R. acknowledges Susana F. Huelga for illuminating comments and financial support from the EU Integrated Projects QAP, QESSENCE, and the STREP action CORNER. A. L. acknowledges support from official Spanish projects No. FIS2008-01267 and QUITEMAD S2009-ESP-1594.
Keywords
Citation
[1] M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, England, 1997); L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, England, 1995). [2] Nevertheless the borderline may be somewhat misty: 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). [3] C. M. Caves, Phys. Rev. D 23, 1693 (1981); M. J. Holland and K. Burnett, Phys. Rev. Lett. 71, 1355 (1993); J.J. Bollinger et al., Phys. Rev. A 54, R4649 (1996); C. Brif and A. Mann, ibid. 54, 4505 (1996); S. F. Huelga et al., Phys. Rev. Lett. 79, 3865 (1997); Ph.Walther et al., Nature (London) 429, 158 (2004); M.W. Mitchell, J. S. Lundeen, and A. M. Steinberg, ibid. 429, 161 (2004). [4] For a classical bound on the visibility of photon coincidences see I. Afek, O. Ambar, and Y. Silberberg, Phys. Rev. Lett. 104, 123602 (2010). [5] A. Luis, Phys. Lett. A 329, 8 (2004); Phys. Rev. A 76, 035801 (2007); C. C. Gerry, A. Benmoussa, and R. A. Campos, J. Mod. Opt. 54, 2177 (2007); D. Maldonado-Mundo and A. Luis, Phys. Rev. A 80, 063811 (2009). [6] J. Beltrán and A. Luis, Phys. Rev. A 72, 045801 (2005). [7] S. M. Roy and S. L. Braunstein, Phys. Rev. Lett. 100, 220501 (2008); S. Boixo et al., ibid. 98, 090401 (2007); S. Choi and B. Sundaram, Phys. Rev. A 77, 053613 (2008); S. Boixo et al., Phys. Rev. Lett. 101, 040403 (2008). [8] A. M. Rey, L. Jiang, and M. D. Lukin, Phys. Rev. A 76, 053617 (2007); S. Boixo et al., ibid. 77, 012317 (2008); 80, 032103 (2009). [9] M. J. Woolley, G. J. Milburn, and C. M. Caves, New J. Phys. 10, 125 018 (2008). [10] B. A. Chase et al., arXiv:0708.2730v2; Phys. Rev. A 79, 062107 (2009). [11] C.W. Helstrom, Phys. Lett. A 25, 101 (1967); IEEE Trans. Inf. Theory 14, 234 (1968); Quantum Detection and Estimation Theory (Academic Press, New York, 1976). [12] S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72, 3439 (1994). [13] S. Luo, Proc. Am. Math. Soc. 132, 885 (2004); S. Luo and Q. Zhang, Phys. Rev. A 69, 032106 (2004). [14] S. L. Braunstein, A. S. Lane, and C. M. Caves, Phys. Rev. Lett. 69, 2153 (1992). [15] A. Fujiwara, Phys. Rev. A 63, 042304 (2001). [16] A. Rivas and A. Luis, Phys. Rev. A 77, 063813 (2008). [17] M. Hübner, Phys. Lett. A 163, 239 (1992); 179, 226 (1993). [18] C.W. Helstrom, Found. Phys. 4, 453 (1974); G. J. Milburn, W.-Y. Chen, and K. R. Jones, Phys. Rev. A 50, 801 (1994); G. Chiribella, G. M. D’Ariano, and M. F. Sacchi, J. Phys. A 39, 2127 (2006); Phys. Rev. A 73, 062103 (2006). [19] V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. Lett. 96, 010401 (2006); L. Pezzé and A. Smerzi, ibid. 102, 100401 (2009). [20] J. K. Korbicz, J. I. Cirac, and M. Lewenstein, Phys. Rev. Lett. 95, 120502 (2005).
Collections