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Abstract: . . . Hil- lery, Phys. Rev. A 55 , 3327 1997 . 17 C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. 70 , 1895 1993 ; C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smo- USEFULNESS OF CLASSICAL COMMUNICATION FOR¼ PHYSICAL REVIEW A 73 , 032313 2006 032313-5 Page 6 lin, and W. K. Wootters, ibid. 76 , 722 1996 ; C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. . . . . . . difference is that the third representation of SU 2 is complex conjugated, which requires the renaming 0 ? 1 , 1 ? - 0 in the third sub- space H A . 23 For the global fidelity F g , classical communication turns out to be useless, and two independent Buek-Hillery cloners 8 are optimal. 24 J. I. Cirac, W. Dür, B. Kraus, and M. Lewenstein, Phys. Rev. Lett. 86 , 544 2001 . 25 C. H. Bennett, D. P. DiVincenzo, . . . . . . difference is that the third representation of SU 2 is complex conjugated, which requires the renaming 0 ? 1 , 1 ? - 0 in the third sub- space H A . 23 For the global fidelity F g , classical communication turns out to be useless, and two independent Buek-Hillery cloners 8 are optimal. 24 J. I. Cirac, W. Dür, B. Kraus, and M. Lewenstein, Phys. Rev. Lett. 86 , 544 2001 . 25 C. H. Bennett, D. P. DiVincenzo, C. A. Fuchs, . . . . . . subspaces with fixed total angular momentum. The difference is that the third representation of SU 2 is complex conjugated, which requires the renaming 0 ? 1 , 1 ? - 0 in the third sub- space H A . 23 For the global fidelity F g , classical communication turns out to be useless, and two independent Buek-Hillery cloners 8 are optimal. 24 J. I. Cirac, W. Dür, B. Kraus, and M. Lewenstein, Phys. Rev. Lett. 86 . . . . . . separable or PPT do not lead to any advantage beyond local operations and classical communications. This, in par- ticular, implies that bound entangled states with positive par- tial transpose are not useful as an additional resource for local cloning . ACKNOWLEDGMENTS We acknowledge discussions with Toni Acín, and support from the DFG SFB 407, SPP 1078, 432 POL , the AvH Foundation, the EC Program QUPRODIS, the ESF Program QUDEDIS, EU IP SCALA and . . . . . . PPT do not lead to any advantage beyond local operations and classical communications. This, in par- ticular, implies that bound entangled states with positive par- tial transpose are not useful as an additional resource for local cloning . ACKNOWLEDGMENTS We acknowledge discussions with Toni Acín, and support from the DFG SFB 407, SPP 1078, 432 POL , the AvH Foundation, the EC Program QUPRODIS, the ESF Program QUDEDIS, EU IP SCALA and SECOQC, . . . --3000,6,250,3449,35068
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