Quantum limits on probabilistic amplifiers

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 88, Issue 3, 2013, Pages

  Pandey, Shashank ^a   Jiang, Zhang ^a   Combes, Joshua ^a   Caves, Carlton M ^a,b  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT STATE; LINEAR AMPLIFIERS; PHASE PLANE; PHASE-SENSITIVE; QUANTUM LIMIT;

QUANTUM THEORY;

PROBABILITY;

EID: 84885363619     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.88.033852     Document Type: Article

References (48)

1. H. A. Haus and J. A. Mullen, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.128.2407 128, 2407 (1962).
2. C. M. Caves, Phys. Rev. D 1550-7998 10.1103/PhysRevD.26.1817 26, 1817 (1982).
3. C. M. Caves, J. Combes, Z. Jiang, and S. Pandey, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86.063802 86, 063802 (2012).
4. W. K. Wootters and W. H. Zurek, Nature (London) NATUAS 0028-0836 10.1038/299802a0 299, 802 (1982).
5. D. Dieks, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(82)90084-6 92, 271 (1982).
6. E. Arthurs and J. L. Kelly, Jr., Bell Syst. Tech. J. BSTJAN 0005-8580 10.1002/j.1538-7305.1965.tb01684.x 44, 725 (1965).
7. T. C. Ralph and A. P. Lund, in Quantum Communication, Measurement and Computing, edited by, A. Lvovsky, AIP Conference Proceedings Vol. 1110 (American Institute of Physics, Melville, NY, 2009), pp. 155-160;
8. see arXiv: 0809.0326 for a slightly embellished discussion.
9. J. Fiurášek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.032308 70, 032308 (2004).
10. A. Chefles, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98)00064-4 239, 339 (1998).
11. A. Chefles and S. M. Barnett, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98)00827-5 250, 223 (1998).
12. R. Nair, B. J. Yen, S. Guha, J. H. Shapiro, and S. Pirandola, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86.022306 86, 022306 (2012).
13. F. E. Becerra, J. Fan, G. Baumgartner, J. Goldhar, J. T. Kosloski, and A. Migdall, Nat. Photon. 1749-4885 10.1038/nphoton.2012.316 7, 147 (2013).
14. J. C. Garrison and R. Y. Chiao, Quantum Optics (Oxford University, Oxford, 2008).
15. H. P. Yuen, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(86)90660-2 113, 405 (1986).
16. N. Herbert, Found. Phys. FNDPA4 0015-9018 10.1007/BF00729622 12, 1171 (1982).
17. N. J. Cerf and J. Fiurášek, in Progress in Optics, edited by, E. Wolf, (Elsevier, Amsterdam, 2006), Vol. 49, pp. 455-545.
18. S. L. Braunstein and P. van Loock, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.513 77, 513 (2005). (Pubitemid 41491330)
19. V. Bužek and M. Hillery, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1844 54, 1844 (1996).
20. G. Lindblad, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/ 33/28/310 33, 5059 (2000).
21. S. L. Braunstein, V. Bužek, and M. Hillery, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.052313 63, 052313 (2001).
22. L.-M. Duan and G.-C. Guo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4999 80, 4999 (1998).
23. A. Chefles and S. M. Barnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.136 60, 136 (1999).
24. P. T. Cochrane, T. C. Ralph, and A. Dolińska, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042313 69, 042313 (2004).
25. G. Y. Xiang, T. C. Ralph, A. P. Lund, N. Walk and G. J. Pryde, Nat. Photon. 1749-4885 10.1038/nphoton.2010.35 4, 316 (2010).
26. D. T. Pegg, L. S. Phillips, and S. M. Barnett, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1604 81, 1604 (1998).
27. J. Jeffers, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.063828 82, 063828 (2010).
28. F. Ferreyrol, M. Barbieri, R. Blandino, S. Fossier, R. Tualle-Brouri, and P. Grangier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.123603 104, 123603 (2010).
29. F. Ferreyrol, R. Blandino, M. Barbieri, R. Tualle-Brouri, and P. Grangier, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.063801 83, 063801 (2011).
30. J. Fiurášek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.053822 80, 053822 (2009).
31. P. Marek and R. Filip, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81. 022302 81, 022302 (2010).
32. A. Zavatta, J. Fiurášek, and M. Bellini, Nat. Photon. 1749-4885 10.1038/nphoton.2010.260 5, 52 (2011).
33. M. A. Usuga, C. R. Müller, C. Wittmann, P. Marek, R. Filip, C. Marquardt, G. Leuchs, and U. L. Andersen, Nat. Phys. 1745-2473 10.1038/nphys1743 6, 767 (2010).
34. M. A. Usuga, Ph.D. thesis, Technical University of Denmark, 2012
35. http://orbit.dtu.dk/fedora/objects/orbit:112908/datastreams/file-9748178/ content.
36. C. R. Müller, C. Wittmann, P. Marek, R. Filip, C. Marquardt, G. Leuchs, and U. L. Andersen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86. 010305 86, 010305 (R) (2012).
37. V. Dunjko and E. Andersson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86.042322 86, 042322 (2012).
38. C. W. Helstrom, Quantum Detection and Estimation Theory (Academic, New York, 1976).
39. H. M. Wiseman and G. J. Milburn, Quantum Measurement and Control (Cambridge University, Cambridge, 2010).
40. M. Charbit, C. Bendjaballah, and C. W. Helstrom, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/18.42235 35, 1131 (1989). (Pubitemid 20630602)
41. 3.
42. J. Fiurášek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.062310 64, 062310 (2001).
43. One could use symmetric ordering instead of the antinormal ordering used in these SNRs. Symmetric ordering applies when one intends to measure just one quadrature, instead of both.
44. E. Knill, R. Laflamme, and G. J. Milburn, Nature (London) NATUAS 0028-0836 10.1038/35051009 409, 46 (2001). (Pubitemid 32098618)
45. J. Fiurasek and N. J. Cerf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86.060302 86, 060302 (R) (2012).
46. N. Walk, T. C. Ralph, T. Symul, and P. K. Lam, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.87.020303 87, 020303 (R) (2013).
47. R. W. Emerson, Essay 2 Self-reliance, Essays: First Series (James Munroe, Boston, 1841).
48. The actual quote is: "A foolish consistency is the hobgoblin of little minds, adored by little statesmen and philosophers and divines."