Quantum cloning

Reviews of Modern Physics

Volumn 77, Issue 4, 2005, Pages 1225-1256

  Scarani, Valerio ^a   Iblisdir, Sofyan ^a   Gisin, Nicolas ^a   Acín, Antonio ^b  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

LIGHT AMPLIFIERS; QUANTUM CRYPTOGRAPHY; QUANTUM THEORY;

CONTINUOUS-VARIABLE QUANTUM SYSTEMS; DISCRETE-DIMENSIONAL; OPTIMAL CLONING; UNKNOWN QUANTUM STATE;

CLONING;

EID: 29844433323     PISSN: 00346861     EISSN: None     Source Type: Journal    
DOI: 10.1103/RevModPhys.77.1225     Document Type: Article

References (131)

1. Acín, A., N. Gisin, L. Masanes, and V. Scarani, 2004, Int. J. Quantum Inf. 0219-7499 10.1002/1438-5171(200103)2:1<23::AID-SIMO23>3.3. CO;2-Q 2, 23.
2. Acín, A., N. Gisin, and V. Scarani, 2004, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.012309 69, 012309.
3. Albeverio, S., and S. M. Fei, 2000, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510051077 14, 669.
4. Arthurs, E., and J. L. Kelly, 1965, Bell Syst. Tech. J. BSTJAN 0005-8580 44, 725.
5. Banaszek, K., 2001, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1366 86, 1366.
6. Barnum, H., C. Caves, C. Fuchs, R. Jozsa, and B. Schumacher, 1996, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.2818 76, 2818.
7. Bechmann-Pasquinucci, H., and N. Gisin, 1999, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4238 59, 4238.
8. Bennett, C. H., and G. Brassard, 1984, Proceedings IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India (IEEE, New York), p. 175.
9. Bennett, C. H., G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, 1993, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70. 1895 70, 1895.
10. Bose, S., A. Ekert, Y. Omar, S. Paunković, and V. Vedral, 2003, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.052309 68, 052309.
11. Branciard, C., N. Gisin, B. Kraus, and V. Scarani, 2005, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.032301 72, 032301.
12. Braunstein, S. L., V. Buaek, and M. Hillery, 2001, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.052313 63, 052313.
13. Braunstein, S. L., N. J. Cerf, S. Iblisdir, P. van Loock, and S. Massar, 2001, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4938 86, 4938.
14. Bruß, D., 1998, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3018 81, 3018.
15. Bruß, D., M. Cinchetti, G. M. D'Ariano, and C. Macchiavello, 2000, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.012302 62, 012302.
16. Bruß, D., G. M. D'Ariano, C. Macchiavello, and M. F. Sacchi, 2000, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.062302 62, 062302.
17. Bruß, D., D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, 1998, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.2368 57, 2368.
18. Bruß, D., A. Ekert, and C. Macchiavello, 1998, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.2598 81, 2598.
19. Bruß, D., and C. Macchiavello, 2002, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.127901 88, 127901.
20. Bruß, D., and C. Macchiavello, 2003, Found. Phys. FNDPA4 0015-9018 10.1023/A:1026061117305 33, 1617.
21. Brukner, A., and A. Zeilinger, 2002, e-print quant-ph/0212084.
22. Buscemi, F., G. M. D'Ariano, and C. Macchiavello, 2005, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.042327 71, 042327.
23. Bussey, P. J., 1987, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(87) 90748-1 123, 1.
24. Buaek, V., S. L. Braunstein, M. Hillery, and D. Bruß, 1997, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.3446 56, 3446.
25. Buaek, V., and M. Hillery, 1996, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1844 54, 1844.
26. Buaek, V., and M. Hillery, 1998, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5003 81, 5003.
27. Buaek, V., M. Hillery, and M. Bendik, 1998, Acta Phys. Slov. APSVCO 0323-0465 48, 177.
28. Buaek, V., M. Hillery, and R. F. Werner, 1999, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.R2626 60, R2626.
29. Caves, C. M., 1982, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.26. 1817 26, 1817.
30. Cerf, N. J., 1998, Acta Phys. Slov. APSVCO 0323-0465 48, 115.
31. Cerf, N. J., 2000a, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4497 84, 4497.
32. Cerf, N. J., 2000b, J. Mod. Opt. JMOPEW 0950-0340 10.1080/095003400148141 47, 187.
33. Cerf, N. J., M. Bourennane, A. Karlsson, and N. Gisin, 2002, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.127902 88, 127902.
34. Cerf, N. J., T. Durt, and N. Gisin, 2002, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340110109043 49, 1355.
35. Cerf, N. J., and S. Iblisdir, 2000, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.040301 62, 040301.
36. Cerf, N. J., A. Ipe, and X. Rottenberg, 2000, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1754 85, 1754.
37. Cerf, N. J., O. Krüger, P. Navez, R. F. Werner, and M. M. Wolf, 2005, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.070501 95, 070501.
38. Cerf, N. J., M. Lévy, and G. Van Assche, 2001, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.052311 63, 052311.
39. Chefles, A., and S. M. Barnett, 1999, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.136 60, 136.
40. Cochrane, P. T., T. C. Ralph, and A. Dolinska, 2004, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042313 69, 042313.
41. Collins, D., L. Diósi, N. Gisin, S. Massar, and S. Popescu, 2004, e-print quant-ph/0409221.
42. Csiszár, I., and J. Körner, 1978, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.1978.1055892 24, 339.
43. Cummins, H. K., C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, 2002, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88. 187901 88, 187901.
44. Curty, M., and N. Lütkenhaus, 2004, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042321 69, 042321.
45. D'Ariano, G. M., and C. Macchiavello, 2003, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.042306 67, 042306.
46. De Chiara, G., R. Fazio, C. Macchiavello, S. Montangero, and G. M. Palma, 2004, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062308 70, 062308.
47. De Martini, F., V. Buaek, F. Sciarrino, and C. Sias, 2002, Nature (London) NATUAS 0028-0836 10.1038/nature01093 419, 815.
48. De Martini, F., V. Mussi, and F. Bovino, 2000, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(00)00611-8 179, 581.
49. De Martini, F., D. Pelliccia, and F. Sciarrino, 2004, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.067901 92, 067901.
50. De Riedmatten, H., I. Marcikic, V. Scarani, W. Tittel, H. Zbinden, and N. Gisin, 2004, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.050304 69, 050304 (R).
51. Devetak, I., and A. Winter, 2005, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 461, 207.
52. Dieks, D., 1982, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(82)90084- 6 92A, 271. (As a curiosity, the title reads Communication by Electron-Paramagnetic-Res Devices: the shortcut "EPR" in the title was spelled by the editors of the review as "Electron Paramagnetic Resonance" instead of, obviously, Einstein-Podolski-Rosen.).
53. Duan, L.-M., and G.-C. Guo, 1998, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4999 80, 4999.
54. Durt, T., and J. Du, 2004, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062316 69, 062316.
55. Durt, T., and B. Nagler, 2003, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.042323 68, 042323.
56. Fan, H., H. Imai, K. Matsumoto, and X. B. Wang, 2003, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.022317 67, 022317.
57. Fan, H., K. Matsumoto, and M. Wadati, 2001, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.064301 64, 064301.
58. Fan, H., G. Weihs, K. Matsumoto, and H. Imai, 2002, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.024307 66, 024307.
59. Fasel, S., N. Gisin, G. Ribordy, V. Scarani, and H. Zbinden, 2002, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.107901 89, 107901.
60. Filip, R., 2004, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.032309 69, 032309.
61. Fiuràaek, J., 2001, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4942 86, 4942.
62. Fiuràaek, J., 2003, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.052314 67, 052314.
63. Fiuràaek, J., R. Filip, and N. J. Cerf, 2005, e-print quant-ph/0505212.
64. Fiuràaek, J., S. Iblisdir, S. Massar, and N. J. Cerf, 2002, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.040302 65, 040302.
65. Fuchs, C. A., 2002, e-print quant-ph/0205039.
66. Fuchs, C. A., N. Gisin, R. B. Griffiths, C.-S. Niu, and A. Peres, 1997, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.1163 56, 1163.
67. Ghirardi, G. C., and T. Weber, 1983, Nuovo Cimento Soc. Ital. Fis., B NIFBAP 0369-4100 78, 9.
68. Gisin, N., 1998, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98) 00170-4 242, 1.
69. Gisin, N., and S. Massar, 1997, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2153 79, 2153.
70. Gisin, N., and S. Popescu, 1999, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.432 83, 432.
71. Gisin, N., G. Ribordy, W. Tittel, and H. Zbinden, 2002, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.145 74, 145.
72. Griffiths, R. B., and C.-S. Niu, 1997, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.1173 56, 1173.
73. Grosshans, F., 2002, Ph.D. thesis (Université Paris 11, Numéro 7080).
74. Grosshans, F., and P. Grangier, 2002, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.057902 88, 057902.
75. Helstrom, C. W., 1976, Quantum Detection and Estimation Theory (Academic, New York).
76. Herbert, N., 1982, Found. Phys. FNDPA4 0015-9018 12, 1171.
77. Hillery, M., M. Ziman, and V. Buaek, 2004, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042311 69, 042311.
78. Holevo, A. S., 1973, Probl. Inf. Transm. PRITA9 0032-9460 9, 177.
79. Holevo, A. S., 1982, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam).
80. Huang, Y.-F., W.-L. Li, C.-F. Li, Y.-S. Zhang, Y.-K. Yiang, and G.-C. Guo, 2001, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.012315 64, 012315.
81. Iblisdir, S., A. Acín, and N. Gisin, 2005, e-print quant-ph/0505152.
82. Iblisdir, S., A. Acín, N. Gisin, J. Fiuràaek, R. Filip, and N. J. Cerf, 2004, e-print quant-ph/0411179.
83. Irvine, W. T. M., A. Lamas Linares, M. J. A. de Dood, and D. Bouwmeester, 2004, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.047902 92, 047902.
84. Kaszlikowski, D., A. Gopinathan, Y. C. Liang, L. C. Kwek, and B.-G. Englert, 2004, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.032306 70, 032306.
85. Kempe, J., C. Simon, and G. Weihs, 2000, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.032302 62, 032302.
86. Keyl, M., 2002, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00266-1 369, 431.
87. Keyl, M., and R. F. Werner, 1999, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.532887 40, 3283.
88. Knill, E., R. Laflamme, and G. J. Milburn, 2001, Nature (London) NATUAS 0028-0836 10.1038/35051009 409, 46.
89. Kraus, K., 1983, States, Effects, and Operations (Springer Verlag, Berlin).
90. Kraus, B., N. Gisin, and R. Renner, 2005, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.080501 95, 080501.
91. Lamas-Linares, A., C. Simon, J. C. Howell, and D. Bouwmeester, 2002, Science SCIEAS 0036-8075 10.1126/science.1068972 296, 712.
92. Lamoureux, L.-P., P. Navez, J. Fiuràa, and N. J. Cerf, 2004, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.040301 69, 040301 (R).
93. Lindblad, G., 2000, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/33/28/ 310 33, 5059.
94. Mana, P. G. L., A. Maansson, and G. Björk, 2005, e-print quant-ph/0505229.
95. Mandel, L., 1983, Nature (London) NATUAS 0028-0836 10.1038/304188a0 304, 188.
96. Masanes, L., A. Acín, and N. Gisin, 2005, e-print quant-ph/0508016.
97. Massar, S., and S. Popescu, 1995, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1259 74, 1259.
98. Milman, P., H. Ollivier, and J. M. Raimond, 2003, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.012314 67, 012314.
99. Milonni, P. W., and M. L. Hardies, 1982, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(82)90899-4 92A, 321.
100. Murao, M., D. Jonathan, M. B. Plenio, and V. Vedral, 1999, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.156 59, 156.
101. Navez, P., and N. J. Cerf, 2003, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.032313 68, 032313.
102. Niederberger, A., V. Scarani, and N. Gisin, 2005, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.042316 71, 042316.
103. Niu, C.-S., and R. B. Griffiths, 1998, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.4377 58, 4377.
104. Niu, C.-S., and R. B. Griffiths, 1999, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.2764 60, 2764.
105. Pati, A. K., 1999, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 83.2849 83, 2849.
106. Pelliccia, D., V. Schettini, F. Sciarrino, C. Sias, and F. De Martini, 2003, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.042306 68, 042306.
107. Peres, A., 1995, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht).
108. Peres, A., 2002, e-print quant-ph/0205076.
109. Plenio, M., and V. Vitelli, 2001, Contemp. Phys. CTPHAF 0010-7514 10.1080/00107510010018916 42, 25.
110. Reck, M., A. Zeilinger, H. J. Bernstein, and P. Bertani, 1994, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.58 73, 58.
111. Renner, R., N. Gisin, and B. Kraus, 2005, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.012332 72, 012332.
112. Renner, R., and R. König, 2004, e-print quant-ph/0403133.
113. Ricci, M., F. Sciarrino, C. Sias, and F. De Martini, 2004, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.047901 92, 047901.
114. Scarani, V., A. Acín, G. Ribordy, and N. Gisin, 2004, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.057901 92, 057901.
115. Scarani, V., and N. Gisin, 2001, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.012311 65, 012311.
116. Shimoda, K., H. Takahasi, and C. H. Townes, 1957, J. Phys. Soc. Jpn. JUPSAU 0031-9015 12, 686.
117. Shor, P. W., and J. Preskill, 2000, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.441 85, 441.
118. Simon, C., 2001, private communication.
119. Simon, C., V. Buaek, and N. Gisin, 2001, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.170405 87, 170405.
120. Simon, C., G. Weihs, A. Zeilinger, 2000, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2993 84, 2993.
121. Terhal, B. M., A. C. Doherty, and D. Schwab, 2003, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.157903 90, 157903.
122. Thew, R., A. Acín, H. Zbinden, and N. Gisin, 2004, Quantum Inf. Comput. QICUAW 1533-7146 4, 93.
123. Townes, C. H., 2002, How the Laser Happened (Oxford University Press, Oxford).
124. Werner, R. F., 1998, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58. 1827 58, 1827.
125. Wigner, E. P., 1961, "The probability of the existence of a self-reproducing unit," in The Logic of Personal Knowledge: Essays Presented to Michael Polanyi on his Seventieth Birthday (Routledge & Kegan Paul, London).
126. Reprinted in E. P. Wigner, 1967, Symmetries and Reflections (Indiana University Press, Bloomington)
127. and in 1997, The Collected Works of Eugene Paul Wigner, Part A, Vol. III (Springer-Verlag, Berlin).
128. Wootters, W. K., and B. D. Fields, 1989, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(89)90322-9 191, 363.
129. Wootters, W. K., and W. H. Zurek, 1982, Nature (London) NATUAS 0028-0836 10.1016/0375-9601(82)90084-6 299, 802.
130. Yuen, H. P., 1986, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(86) 90660-2 113A, 405.
131. Zou, X. B., K. Pahlke, and W. Mathis, 2003, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.024304 67, 024304.