RT Journal Article
T1 Precision quantum metrology and nonclassicality in linear and nonlinear detection schemes
A1 Rivas, Ángel
A1 Luis Aina, Alfredo
AB 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.
PB American Physical Society
SN 0031-9007
YR 2010
FD 2010-06-30
LK https://hdl.handle.net/20.500.14352/44641
UL https://hdl.handle.net/20.500.14352/44641
LA eng
NO [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).
NO © 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.
NO Comunidad de Madrid
NO Unión Europea. FP7
DS Docta Complutense
RD 1 may 2024