Quantifying decoherence in continuous variable systems

Journal of Optics B: Quantum and Semiclassical Optics

Volumn 7, Issue 4, 2005, Pages

  Serafini, A ^a,b   Paris, M G A ^c   Illuminati, F ^a   De Siena, S ^a  

^a UNIVERSITY OF SALERNO   (Italy)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF MILAN   (Italy)

Author keywords

Continuous variable systems; Decoherence; Entanglement; Nonclassical states

Indexed keywords

CORRELATION METHODS; MATHEMATICAL MODELS;

CONTINUOUS VARIABLE SYSTEMS; DECOHERENCE; ENTANGLEMENT; NONCLASSICAL STATES;

QUANTUM OPTICS;

EID: 24144453355     PISSN: 14644266     EISSN: None     Source Type: Journal    
DOI: 10.1088/1464-4266/7/4/R01     Document Type: Conference Paper

References (122)

1. Braunstein S L and Pati A K (ed) 2002 Quantum Information Theory with Continuous Variables (Dordrecht: Kluwer) and references therein
2. Braunstein S L and van Loock P 2005 Rev. Mod. Phys. at press (Preprint quant-ph/0410100)
3. Furusawa A, Sorensen J L, Braunstein S L, Fuchs C A, Kimble H J and Polzik E S 1998 Science 282 706
4. Zhang T C, Goh K W, Chou C W, Lodahl P and Kimble H J 2003 Phys. Rev. A 67 033802
5. Grosshans F and Grangier P 2002 Phys. Rev. Lett. 88 057902
6. Grosshans F, Van Assche G, Wenger J, Brouri R, Cerf N J and Grangier P 2003 Nature 421 238
7. Caldeira A O and Leggett A J 1983 Physica A 121 587
8. Zurek W H 1991 Phys. Today 44 (10) 36
9. Barnett S M and Radmore P M 1997 Methods in Theoretical Quantum Optics (Oxford: Clarendon)
10. Lee C T 1991 Phys. Rev. A 44 R2275
11. Kim M S, Son W, Buzek V and Knight P L 2002 Phys. Rev. A 65 032323
12. Takeoka M, Ban M and Sasaki M 2002 J. Opt. B: Quantum Semiclass. Opt. 4 114
13. Benedict M G and Czirják A 1999 Phys. Rev. A 60 4034
14. Kenfack A and Życzkowski K 2004 J. Opt. B: Quantum Semiclass. Opt. 6 396
15. Simon R, Sudarshan E C G and Mukunda N 1987 Phys. Rev. A 36 3868
16. Arvind, Dutta B, Mukunda N and Simon R 1995 Pramana 45 471 (Preprint quant- ph/9509002)
17. Williamson J 1936 Am. J. Math. 58 141
18. See also Arnold V I 1978 Mathematical Methods of Classical Mechanics (Berlin: Springer)
19. Simon R, Chaturvedi S and Srinivasan V 1999 J. Math. Phys. 40 3632
20. Simon R, Mukunda N and Dutta B 1994 Phys. Rev. A 49 1567
21. Adesso G, Serafini A and Illuminati F 2004 Phys. Rev. Lett. 92 087901
22. Adesso G, Serafini A and Illuminati F 2004 Phys. Rev. A 70 022318
23. Adesso G, Serafini A and Illuminati F 2004 Phys. Rev. Lett. 93 220504
24. Serafini A, Adesso G and Illuminati F 2005 Phys. Rev. A 71 at press (Preprint quant-ph/0411109
25. Adesso G and Illuminati F 2004 Preprint quant-ph/0410050
26. Ekert A K, Moura Alves C and Oi D K L 2002 Phys. Rev. Lett. 88 217901
27. Filip R 2002 Phys. Rev. A 65 062320
28. Fiurášek J and Cerf N J 2004 Phys. Rev. Lett. 93 063601
29. Wenger J, Fiurášek J, Tualle-Brouri R, Cerf N J and Grangier Ph 2004 Phys. Rev. A 70 053812
30. Holevo A S, Sohma M and Hirota O 1999 Phys. Rev. A 59 1820
31. Serafini A, Illuminati F and De Siena S 2004 J. Phys. B: At. Mol. Opt. Phys. 37 L21
32. Henderson L and Vedral V 2001 J. Phys. A: Math. Gen. 34 6899
33. Simon R 2000 Phys. Rev. Lett. 84 2726
34. Duan L-M, Giedke G, Cirac J I and Zoller P 2000 Phys. Rev. Lett. 84 2722
35. Vidai G and Werner R F 2002 Phys. Rev. A 65 032314
36. Eisert J 2001 PhD Thesis University of Potsdam, Potsdam
37. Audenaert K, Plenio M B and Eisert J 2003 Phys. Rev. Lett. 90 027901
38. Walls D and Milburn G 1994 Quantum Optics (Berlin: Springer)
39. Possible squeezed reservoirs are treated in Dupertuis M-A and Stenholm S 1987 J. Opt. Soc. Am. B 4 1094
40. Dupertuis M-A, Barnett S M and Stenholm S 1987 J. Opt. Soc. Am. B 4 1102
41. Ficek Z and Drummond P D 1991 Phys. Rev. A 43 6247
42. Grewal K S 2003 Phys. Rev. A 67 022107
43. See also Gardiner C W and Zoller P 1999 Quantum Noise (Berlin: Springer)
44. Kim M S and Imoto N 1995 Phys. Rev. A 52 2401 and [31]
45. Tombesi P and Vitali D 1994 Phys. Rev. A 50 4253
46. Tombesi P and Vitali D 1995 Appl. Phys. B 60 S69
47. Poyatos J F, Cirac J I and Zoller P 1996 Phys. Rev. Lett. 77 4728
48. Lütkenhaus N, Cirac J I and Zoller P 1998 Phys. Rev. A 57 548
49. Wiseman H M and Milburn G J 1993 Phys. Rev. Lett. 70 548
50. Wiseman H M and Milburn G J 1994 Phys. Rev. A 49 1350
51. Paris M G A, Illuminati F, Serafini A and De Siena S 2003 Phys. Rev. A 68 012314
52. Cirac J I, Eisert J, Giedke G, Lewenstein M, Plenio M B, Werner R F and Wolf M M 2005 textbook in preparation
53. Serafini A, Eisert J and Wolf M M 2005 Phys. Rev. A 71 012320
54. Brodier O and Ozorio de Almeida A M 2004 Phys. Rev. E 69 016204
55. Marian P and Marian T A 1993 Phys. Rev. A 47 4487
56. Giovannetti V, Guha S, Lloyd S, Maccone L and Shapiro J H 2004 Phys. Rev. A 70 032315
57. Giovannetti V, Lloyd S, Maccone L, Shapiro J H and Yen B J 2004 Phys. Rev. A 70 022328
58. Zurek W H, Habib S and Paz J P 1993 Phys. Rev. Lett. 70 1187
59. Venugopalan A 1999 Phys. Rev. A 61 012102
60. Schrödinger E 1935 Naturwissenschaften 23 812
61. Yurke B and Stoler D 1986 Phys. Rev. Lett. 57 13
62. Mecozzi A and Tombesi P 1987 Phys. Rev. Lett. 58 1055
63. Yurke B, Schleich W and Walls D F 1990 Phys. Rev. A 42 1703
64. Ogawa T, Ueda M and Imoto N 1991 Phys. Rev. A 43 6458
65. Brune M, Haroche S, Raimond J M, Davidovich L and Zagury N 1992 Phys. Rev. A 45 5193
66. Dakna M, Anhut T, Opatrny T, Knöll L and Welsch D G 1997 Phys. Rev. A 55 3184
67. Olivares S, Paris M G A and Rossi A R 2003 Phys. Lett. A 319 32
68. Rossi A R, Olivares S and Paris M G A 2004 J. Mod. Opt. 51 1057
69. Paternostro M, Kim M S and Ham B S 2003 Phys. Rev. A 67 023811
70. See also Dodonov V V 2002 J. Opt. B: Quantum Semiclass. Opt. 4 R1 and references therein
71. Brune M, Hagley E, Dreyer J, Maître X, Maali A, Wunderlich C, Raimond J M and Haroche S 1996 Phys. Rev. Lett. 77 4887
72. Auffeves A, Maioli P, Meunier T, Gleyzes S, Nogues G, Brune M, Raimond J M and Haroche S 2003 Phys. Rev. Lett. 91 230405
73. Monroe C, Meekhof D M, King B E and Wineland D J 1996 Science 272 1131
74. Myatt C J, King B E, Turchette Q A, Sackett C A, Kielpinski D, Itano W M, Monroe C and Wineland D J 2000 Nature 403 269
75. Walls D F and Milburn G J 1985 Phys. Rev. A 31 2403
76. Kennedy T A B and Walls D F 1988 Phys. Rev. A 37 152
77. Goetsch P, Tombesi P and Vitali D 1996 Phys. Rev. A 54 4519
78. Zippilli S, Vitali D, Tombesi P and Raimond J-M 2003 Phys. Rev. A 67 052101
79. El-Orany F A A 2002 Phys. Rev. A 65 043814
80. Serafini A, De Siena S, Illuminati F and Paris M G A 2004 J. Opt. B: Quantum Semiclass. Opt. 6 S591
81. Garraway B M, Knight P L and Plenio M B 1998 Phys. Scr. T 76 152
82. Lo H-K and Chau H F 1999 Science 283 2050
83. Zbinden H, Gisin N, Huttner B and Tittel W 2000 J. Cryptol. 13 207
84. Jennewein T, Simon C, Weihs G, Weinfurter H and Zeilinger A 2000 Phys. Rev. Lett. 84 4729
85. Gheri K M, Saavedra C, Törmä P, Cirac J I and Zoller P 1998 Phys. Rev. A 58 R2627
86. van Enk S J, Cirac J I and Zoller P 1998 Science 279 205
87. Kilin S Y and Horosko D B 1995 Phys. Rev. Lett. 74 5206
88. Leonski W, Dyrting S and Tanas R 1997 J. Mod. Opt. 44 2105
89. Vidiella-Barranco A and Roversi J A 1998 Phys. Rev. A 58 3349
90. Leonski W 1969 Phys. Rev. A 54 3369
91. Paris M G A 1997 Int. J. Mod. Phys. B 11 1913
92. Dakna M, Anhut T, Opatrny T, Knoll L and Welsch D G 1997 Phys. Rev. A 55 3184
93. Steuernagel O 1997 Opt. Commun. 138 71
94. D'Ariano G M, Maccone L, Paris M G A and Sacchi M F 2000 Phys. Rev. A 61 053817
95. D'Ariano G M, Maccone L, Paris M G A and Sacchi M F 2000 Fortschr. Phys. 48 511
96. Vogel K, Akulin V M and Scheich W P 1993 Phys. Rev. Lett. 71 1816
97. Villas-Bôas C J, de Paula F R, Serra R M and Moussa M H Y 2003 Phys. Rev. A 68 053808
98. Varcoe B T H, Brattke S, Weidinger M and Walther H 2000 Nature 403 743
99. Brattke S, Varcoe B T H and Walther H 2001 Phys. Rev. Lett. 86 3534
100. Brown K R, Dani K M, Stamper-Kurn D M and Whaley K B 2003 Phys. Rev. A 67 043818
101. Harel G and Kurizki G 1996 Phys. Rev. A 54 5410
102. Harel G, Kurizki G, McIver J K and Coutsias E 1996 Phys. Rev. A 53 4534
103. Meekhof D M, Monroe C, King B E, Itano W M and Wineland D J 1996 Phys. Rev. Lett. 76 1796
104. Nayak N 2003 Preprint quant-ph/0308077
105. Serafini A, De Siena S and Illuminati F 2004 Mod. Phys. Lett. B 18 687
106. Gradstein I and Ryshik I 1981 Summen-, Produkt- und Integral-Tafeln (Thun. Frankfurt/M: Harri Deutsch Verlag)
107. Janszky J, Kim M G and Kim M S 1996 Phys. Rev. A 53 502
108. Haroche S 2003 Introduction to quantum optics and decoherence Quantum Entanglement and Information Processing (Lectures held at Les Houches Summer School)
109. Duan L-M and Guo G-C 1997 Quantum Semiclass. Opt. 9 953
110. Hiroshima T 2001 Phys. Rev. A 63 022305
111. Scheel S and Welsch D-G 2001 Phys. Rev. A 64 063811
112. Paris M G A 2004 Entangled light and applications Trends in Quantum Physics ed V Krasnoholovets and F Columbis (Hauppauge, NY: Nova) p 89
113. Wilson D, Lee J and Kim M S 2003 J. Mod. Opt. 50 1809
114. Prauzner-Bechcicki J S 2004 J. Phys. A: Math. Gen. 37 L173
115. Serafini A, Illuminati F, Paris M G A and De Siena S 2004 Phys. Rev. A 69 022318
116. Barnett S M and Phoenix S J D 1989 Phys. Rev. A 40 2404
117. Barnett S M and Phoenix S J D 1991 Phys. Rev. A 44 535
118. Paris M G A 1999 Phys. Rev. A 59 1615
119. Wieman C E, Pritchard D E and Wineland D J 1999 Rev. Mod. Phys. 71 S253-62
120. Vandersypen L M K and Chuang I L 2004 Rev. Mod. Phys. 76 1037
121. Braunstein S L and Kimble H J 1998 Phys. Rev. Lett. 80 869
122. Adesso G and Illuminati F 2004 Preprint quant-ph/0412125