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IEEE, New York
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C. H. Bennett and G. Brassard, in Proceedings IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India (IEEE, New York, 1984), pp. 175-179.
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Bennett, C.H.1
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Gisin, N.1
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5
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85015773324
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note
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It is a well-known fact that the existence of a perfect quantum cloning machine would allow to beat Heisenberg's uncertainty principle.
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6
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0037171183
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N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, Phys. Rev. Lett. 88, 127 902 (2002).
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A. Beveratos, R. Brouri, T. Gacoin, A. Villing, J.-P. Poizat, and P. Grangier, Phys. Rev. Lett. 89, 187 901 (2002); E. Waks, K. Inoue, C. Santori, D. Fattal, J. Vuckovic, G. S. Solomon, and Y. Yamamoto, Nature (London) 420, 762 (2002).
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Beveratos, A.1
Brouri, R.2
Gacoin, T.3
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Poizat, J.-P.5
Grangier, P.6
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9
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0037180773
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A. Beveratos, R. Brouri, T. Gacoin, A. Villing, J.-P. Poizat, and P. Grangier, Phys. Rev. Lett. 89, 187 901 (2002); E. Waks, K. Inoue, C. Santori, D. Fattal, J. Vuckovic, G. S. Solomon, and Y. Yamamoto, Nature (London) 420, 762 (2002).
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Nature (London)
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Waks, E.1
Inoue, K.2
Santori, C.3
Fattal, D.4
Vuckovic, J.5
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Yamamoto, Y.7
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10
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0001463190
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K. Mølmer, Phys. Rev. A 55, 3195 (1997); S. J. van Enk and C. A. Fuchs, Quantum Inf. Comput. 2, 151 (2002).
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Mølmer, K.1
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Brassard, G.1
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Mor, T.3
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15
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0000600063
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B. Huttner, N. Imoto, N. Gisin, and T. Mor, Phys. Rev. A 51, 1863 (1995).
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Huttner, B.1
Imoto, N.2
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Mor, T.4
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17
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84855942678
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D. Stucki, N. Gisin, O. Guinnard, G. Ribordy, and H. Zbinden, Adv. Geophys. 4, 41 (2002).
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Adv. Geophys.
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Stucki, D.1
Gisin, N.2
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Ribordy, G.4
Zbinden, H.5
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85015772887
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note
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It has been shown in W. Xiang-bin, quant-ph/0110089, that no finite coherent attack is more powerful than the incoherent one when Eve's measurement takes place before the error correction and privacy amplification process. However his demonstration does not apply to the case of a coherent attack on an infinite number of pulses.
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22
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85015749529
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note
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We take α = 0.25 dB/km for all the figures in this paper.
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23
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85015734976
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note
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We believe that Eve must necessarily have access to Bob's lab in order to modify his detectors. In contrary to this, one might think that Eve is able to shift the signals she wants to be detected into a wavelength region of higher detector efficiency. But this can be simply avoided by putting a narrow filter before the detector. Or, she can send pulses with large mean photon number whenever she wants the pulse to be detected, but this produces a significant increase of the double counts when Bob chooses the wrong measurement.
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24
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85015773086
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note
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z with eigenvalues ±1.
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26
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0000579401
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B. Huttner, A. Muller, J. D. Gautier, H. Zbinden, and N. Gisin, Phys. Rev. A 54, 3783 (1996).
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(1996)
Phys. Rev. A
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Huttner, B.1
Muller, A.2
Gautier, J.D.3
Zbinden, H.4
Gisin, N.5
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85015761158
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note
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⊗3 [14]. It is very plausible that there is no measurement using just linear optics reaching the optimal probability of unambiguous discrimination.
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31
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85015761155
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note
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Incidentally note that using the nonperfect but subpoissonian sources of Ref. [8], this distance can be further increased, since the higher photon-number components are proportionally much smaller than in the poissonian case.
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32
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0001283653
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N. J. Cerf, Phys. Rev. Lett. 84, 4497 (2000); J. Mod. Opt. 47, 187 (2000).
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(2000)
Phys. Rev. Lett.
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Cerf, N.J.1
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33
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0034652056
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N. J. Cerf, Phys. Rev. Lett. 84, 4497 (2000); J. Mod. Opt. 47, 187 (2000).
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(2000)
J. Mod. Opt.
, vol.47
, pp. 187
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35
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5344222062
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C. A. Fuchs, N. Gisin, R. B. Griffiths, C.-S. Niu, and A. Peres, Phys. Rev. A 56, 1163 (1997).
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(1997)
Phys. Rev. A
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Fuchs, C.A.1
Gisin, N.2
Griffiths, R.B.3
Niu, C.-S.4
Peres, A.5
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36
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85015797914
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note
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After completition of this work, the optimal 2→3 phase covariant cloning machine was found in G. M. D'Ariano and C. Macchiavello, quant-ph/0301175. There, the optimal fidelity is shown to be equal to (1 + √7/3)/2∼0.9409, slightly larger than the one given in Appendix D of the present paper, (6+2√2 + √6)/12∼0.9398.
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38
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85015762150
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note
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b does not provide any advantage to the honest parties when they use this alternative encoding.
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