RT Journal Article T1 Quantum limits, nonseparable transformations, and nonlinear optics A1 Luis Aina, Alfredo AB We examine the relationship between nonseparable transformations and nonlinear optical processes, surpassing the Heisenberg limit in precision measurements. PB American Physical Society SN 1050-2947 YR 2007 FD 2007-09-05 LK https://hdl.handle.net/20.500.14352/51491 UL https://hdl.handle.net/20.500.14352/51491 LA eng NO [1] V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. Lett. 96, 010401 (2006).[2] W. M. Itano et al., Phys. Rev. A 47, 3554 (1993); D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, ibid. 50, 67 (1994); Z. Y. Ou, ibid. 55, 2598 (1997).[3] J. Combes and H. M. Wiseman, J. Opt. B: Quantum Semiclassical Opt. 7, 14 (2005); Z. Hradil Z and J. Řeháček, Phys. Lett. A 334, 267 (2005).[4] A. Luis, Phys. Rev. A 65, 025802 (2002); Phys. Lett. A 329, 8 (2004); Phys. Rev. A 69, 044101 (2004); J. Opt. B: Quantum Semiclassical Opt. 6, 1 (2004); J. Beltrán and A. Luis, Phys. Rev. A 72, 045801 (2005).[5] S. M. Roy and S. L. Braunstein, e-print arXiv:quant-ph/0607152.[6] S. Boixo, S. T. Flammia, C. M. Caves, and J. M. Geremia, Phys. Rev. Lett. 98, 090401 (2007).[7] S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72, 3439 (1994); S. L. Braunstein, C. M. Caves, and G. J. Milburn, Ann. Phys. (N.Y. ) 247, 135 (1996).[8] M. Hillery and L. Mlodinow, Phys. Rev. A 48, 1548 (1993).[9] N. D. Mermin, Phys. Rev. Lett. 65, 1838 (1990); J. J. Bollinger, W. M. Itano, D. J. Wineland, and D. J. Heinzen, Phys. Rev. A 54, R4649 (1996); A. Luis, ibid. 64, 054102 (2001); 65, 034102 (2002_; Ph. Walther, J.-W. Pan, M. Aspelmeyer, R. Ursin, S. Gasparoni, and A. Zeilinger, Nature (London) 429, 158 (2004); M. W. Mitchell, J. S. Lundeen, and A. M. Steinberg, ibid. 429, 161 (2004).[10] H. Schmidt and A. Imamoğlu, Opt. Lett. 21, 1936 (1996_; S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999); H. Kang and Y. Zhu, ibid. 91, 093601 (2003).[11] P. Lambropoulos and D. Petrosyan, Fundamentals of Quantum Optics and Quantum Information (Springer, Berlin, 2007); C. C. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge University Press, Cambridge, England, 2005); 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). NO ©2007 The American Physical Society. This work has been supported by Project No. PR1-A/07-15378 of the Universidad Complutense. I thank the anonymous referees for comments that have helped me to improve the paper. NO Universidad Complutense de Madrid (UCM) DS Docta Complutense RD 30 nov 2023