Purity of Gaussian states: Measurement schemes and time evolution in noisy channels

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 1, 2003, Pages

  Paris, Matteo G A ^a   Illuminati, Fabrizio ^b   Serafini, Alessio ^b   De Siena, Silvio ^b  

^a INFM UdR di Pavia   (Italy)

^b UNIVERSITY OF SALERNO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL OPERATORS; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; RELIABILITY; STATISTICAL MECHANICS;

GAUSSIAN STATES; NOISY CHANNELS; PURITY; QUADRATURES;

QUANTUM THEORY;

EID: 0141461510     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (51)

1. Quantum Information Theory with Continuous Variables, edited by S.L. Braunstein and A.K. Pati (Kluwer, Dordrecht, 2002), and references therein.
2. Fundamentals of Quantum Information, edited by D. Heiss (Springer-Verlag, Berlin, 2002), and references therein.
3. H.P. Yuen and A. Kim, Phys. Lett. A 241, 135 (1998).
4. G.A. Barbosa, E. Corndorf, P. Kumar, H.P. Yuen, G.M. D'Ariano, M.G.A. Paris, and P. Perinotti, e-print quant-ph/0210089.
5. F. Grosshans and P. Grangier, Phys. Rev. Lett. 88, 057902 (2002)
6. F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N.J. Cerf, and P. Grangier, Nature (London) 421, 238 (2003).
7. C. Silberhorn, T.C. Ralph, N. Lütkenhaus, and G. Leuchs, Phys. Rev. Lett. 89, 167901 (2002).
8. C.M. Caves, Phys. Rev. D 23, 1693 (1981).
9. R.S. Bondurant, P. Kumar, J.H. Shapiro, and M. Maeda, Phys. Rev. A 30, 343 (1984).
10. B. Yurke, S.L. McCall, and J.R. Klauder, Phys. Rev. A 33, 4033 (1986).
11. V. Chickarmane and B. Bhawal, Phys. Lett. A 190, 22 (1994).
12. M.G.A. Paris, Phys. Lett. A 201, 132 (1995).
13. M.S. Kim, J. Lee, and W.J. Munro, Phys. Rev. A 66, 030301(R) (2002).
14. K. Banaszek, A. Dragan, K. Wódkiewicz, and C. Radzewicz, Phys. Rev. A 66, 043803 (2002).
15. J. Eisert, S. Scheel, and M.B. Plenio, Phys. Rev. Lett. 89, 137903 (2002)
16. G. Giedke and J.I. Cirac, Phys. Rev. A 66, 032316 (2002)
17. J. Fiurasek, Phys. Rev. Lett. 89, 137904 (2002).
18. Wang Xiang-bin, Phys. Rev. A 66, 064304 (2002).
19. R. Filip, J. Opt. B: Quantum Semiclassical Opt. 4, 202 (2002).
20. R. Filip and L. Mista, e-print quant-ph/0204105.
21. A.S. Holevo, in Proceedings of the 4th International Conference on Quantum Communication, Measurement and Computing, edited by P. Kumar, G.M. D'Ariano, and O. Hirota (Plenum Press, New York, 1998).
22. R. Simon, Phys. Rev. Lett. 84, 2726 (2000).
23. L.-M. Duan, G. Giedke, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000)
24. G. Giedke, B. Kraus, M. Lewenstein, and J.I. Cirac, ibid. 87, 167904 (2001).
25. A.K. Ekert, C.M. Alves, D.K.L. Oi, M. Horodecki, P. Horodecki, and L.C. Kwek, Phys. Rev. Lett. 88, 217901 (2002).
26. R. Filip, Phys. Rev. A 65, 062320 (2000).
27. M. Hendrych, M. Dusek, R. Filip, and J. Fiurasek, e-print quant-ph/0208091.
28. G.M. D'Ariano, M.G.A. Paris, and M.F. Sacchi (unpublished).
29. G.M. D'Ariano and M.G.A. Paris, Phys. Lett. A 233, 49 (1997).
30. E. Arthurs and L.J. Kelly, Jr., Bell Syst. Tech. J. 44, 725 (1965).
31. S. Stenholm, Ann. Phys. (N.Y.) 218, 233 (1992).
32. W.L. Power, S.M. Tan, and M. Wilkens, J. Mod. Opt. 44, 2591 (1997).
33. S.M. Barnett and P.M. Radmore, Methods in Theoretical Quantum Optics (Clarendon Press, Oxford, 1997).
34. G. Adam, J. Mod. Opt. 42, 1311 (1995).
35. D. Walls and G. Milburn, Quantum Optics (Springer Verlag, Berlin, 1994).
36. P. Marian and T.A. Marian, Phys. Rev. A 47, 4474 (1993).
37. V.V. Dodonov, J. Opt. B: Quantum Semiclassical Opt. 4, S98 (2002).
38. G.M. D'Ariano, M.G.A. Paris, and M.F. Sacchi, Phys. Rev. A 62, 023815 (2000).
39. J.H. Shapiro and S.S. Wagner, IEEE J. Quantum Electron. 20, 803 (1984)
40. H.P. Yuen and J.H. Shapiro, IEEE Trans. Inf. Theory 26, 78 (1980).
41. N.G. Walker and J.E. Carrol, Opt. Quantum Electron. 18, 355 (1986)
42. N.G. Walker, J. Mod. Opt. 34, 15 (1987)
43. Y. Lay and H.A. Haus, Quantum Opt. 1, 99 (1989).
44. M. Freyberger and W. Schleigh, Phys. Rev. A 47, R30 (1993)
45. U. Leonhardt and H. Paul, Phys. Rev. 47, 2460 (1993).
46. A. Zucchetti, W. Vogel, and D.-G. Welsch, Phys. Rev. A 54, 856 (1996)
47. M.G.A. Paris, A. Chizhov, and O. Steuernagel, Opt. Commun. 134, 117 (1997).
48. G.M. D'Ariano, C. Macchiavello, and M.G.A. Paris, in Quantum Communications and Measurements, edited by O. Hirota and M. Ozawa (Plenum Press, New York, 1995).
49. J. Eisert and M.B. Plenio, Phys. Rev. Lett. 89, 097901 (2002).
50. R. Simon, E.C.G. Sudarshan, and N. Mukunda, Phys. Rev. A 36, 3868 (1987).
51. P. Marian and T.A. Marian, Phys. Rev. A 47, 4487 (1993).