Gaussian quantum channels

Quantum Information with Continuous Variables of Atoms and Light

Volumn , Issue , 2007, Pages 23-42

  Eisert, J ^a   Wolf, M M ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIAN QUANTUM;

EID: 84967538502     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9781860948169_0002     Document Type: Chapter

References (48)

1. B. Demoen, P. Vanheuswijn, and A. Verbeure, Lett. Math. Phys. 2, 161 (1977).
2. A. S. Holevo, M. Sohma, and O. Hirota, Phys. Rev. A 59, 1820 (1999).
3. A. S. Holevo and R. F. Werner, Phys. Rev. A 63, 032312 (2001).
4. J. Eisert and M. B. Plenio, Phys. Rev. Lett. 89, 097901 (2002).
5. G. Lindblad, J. Phys. A 33, 5059 (2000).
6. A. S. Holevo, Probabilistic Aspects of Quantum Theory (North-Holland, Amsterdam, 1982), Chapter 5.
7. J. I. Cirac, J. Eisert, G. Giedke, M. B. Plenio, M. Lewenstein, M. M. Wolf, and R. F. Werner, textbook in preparation (2005).
8. J. Eisert and M. B. Plenio, Int. J. Quant. Inf. 1, 479 (2003).
9. Arvind, B. Dutta, N. Mukunda, and R. Simon, Pramana 45, 471 (1995); quant-ph/9509002.
10. J. Harrington and J. Preskill, Phys. Rev. A 64, 062301 (2001).
11. V. Giovannetti, S. Lloyd, L. Maccone, J. H. Shapiro, and B. J. Yen, Phys. Rev. A 70, 022328 (2004).
12. C. M. Caves and K. Wodkiewicz, quant-ph/0409063.
13. V. Giovannetti, S. Lloyd, L. Maccone, and P. W. Shor, Phys. Rev. A 68, 062323 (2003).
14. V. Giovannetti, S. Lloyd, L. Maccone, and P. W. Shor, Phys. Rev. Lett. 91, 047901 (2003).
15. C. M. Caves and P. D. Drummond, Rev. Mod. Phys. 66, 481 (1994).
16. G. G. Amosov, A. S. Holevo, and R. F. Werner, Problems in Information Transmission 36, 25 (2000).
17. A. Wehrl, Rev. Mod. Phys. 50, 221 (1978).
18. A. Serafini, F. Illuminati, M. G. A. Paris, and S. De Siena, Phys. Rev. A 69, 022318 (2004).
19. C. Adami and N. J. Cerf, Phys. Rev. A 57, 4153 (1998).
20. C. E. Shannon, The Bell System Tech. J. 27, 379, (1948)
21. J. Williamson, Am. J. Math. 58, 141 (1936)
22. V. I. Arnold, Mathematical Methods of Classical Mechanics, (Springer-Verlag, New York, 1978).
23. A. S. Holevo and M. E. Shirokov, Theory Prob. Appl. 50, 86 (2005).
24. M. E. Shirokov, quant-ph/0411091 (2004).
25. J. Eisert, C. Simon, and M. B. Plenio, J. Phys. A 35, 3911 (2002).
26. P. W. Shor, Math. Prog. 97, 311 (2003).
27. A. S. Holevo, IEEE Trans. Inf. Theory 44, 269 (1998).
28. B. Schumacher and M. D. Westmoreland, Phys. Rev. A 56, 131 (1997).
29. V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, Phys. Rev. Lett. 92, 027902 (2004).
30. H. P. Yuen and M. Ozawa, Phys. Rev. Lett. 70, 363 (1992).
31. D. Kretschmann and R. F. Werner, New J. Phys. 6, 26 (2004).
32. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996)
33. H. Barnum, E. Knill, and M. A. Nielsen, IEEE Trans. Inf. Th. 46, 1317 (2000).
34. P. W. Shor, The quantum channel capacity and coherent information, lecture notes, MSRI Workshop on Quantum Computation (2002)
35. I. Devetak, IEEE Trans. Inf. Th. 51, 44 (2005)
36. S. Lloyd, Phys. Rev. A 55, 1613 (1997).
37. A. S. Holevo, quant-ph/0211170 (2002).
38. D. Gottesman, A. Kitaev, and J. Preskill, Phys. Rev. A 64, 012310 (2001).
39. C. H. Bennett, P. W. Shor, J. A. Smolin, A. V. Thapliyal, IEEE Trans Inf. Th. 48, 2637 (2002).
40. P. W. Shor, Comm. Math. Phys. 246, 453 (2004).
41. K. Matsumoto, T. Shimono, and A. Winter, Commun. Math. Phys. 246, 427 (2004).
42. K. M. R. Audenaert and S. L. Braunstein, Commun. Math. Phys. 246, 443 (2004).
43. A. Serafini, J. Eisert, and M. M. Wolf, Phys. Rev. A 71, 012320 (2005).
44. C. King, M. Nathanson, and M. B. Ruskai, Lin. Alg. Appl. 404, 367 (2005).
45. M. M. Wolf and J. Eisert, New J. Phys. 7, 93 (2005).
46. N. J. Cerf, J. Clavareau, C. Macchiavello, and J. Roland, Phys. Rev. A 72, 042330 (2005).
47. G. Ruggeri, G. Soliani, V. Giovannetti, and S. Mancini, Europhys. Lett. 70, 719 (2005).
48. D. Kretschmann and R. F. Werner, quant-ph/0502106 (2005).