Transfer of quantum states using finite resources

Physical Review A. Atomic, Molecular, and Optical Physics

Volumn 63, Issue 4, 2001, Pages 423051-423057

  Fischer, Dietmar G ^a   Mack, Holger ^a   Freyberger, Matthias ^a  

^a UNIVERSITY OF ULM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; DATA PROCESSING; ELECTRON ENERGY LEVELS; ELECTRON TRANSITIONS; PARAMETER ESTIMATION;

NOISY QUANTUM CHANNELS;

QUANTUM THEORY;

EID: 17344381369     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. For details, see The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert, and A. Zeilinger (Springer, Berlin, 2000), and references cited therein.
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5. S. Massar and S. Popescu, Phys. Rev. Lett. 74, 1259 (1995); R. Derka, V. Bužek, and A.K. Ekert, ibid. 80, 1571 (1998); J.I. Latorre, P. Pascual, and R. Tarrach, ibid. 81, 1351 (1998); D. Bruß and C. Macchiavello, Phys. Lett. A 253, 249 (1999).
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16. J.I. Cirac, A.K. Ekert, S.F. Huelga, and C. Macchiavello, Phys. Rev. A 59, 4249 (1999); S.J. van Enk, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 78, 4293 (1997); L.K. Grover, e-print quant-ph/9704012.
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18. C.H. Bennett, G. Brassard, C. Crepeau, R. Josza, A. Peres, and W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993); for more references, see The Physics of Quantum Information (Ref. [1]).
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20. In the present paper we will use the purification protocol presented by D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, Phys. Rev. Lett. 77, 2818 (1996).
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23. C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J.A. Smolin, and W.K. Wootters, Phys. Rev. Lett. 76, 722 (1996); C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, and W.K. Wootters, Phys. Rev. A 54, 3824 (1996), and the references cited therein; also see The Physics of Quantum Information (Ref. [1]).
24. J.I. Cirac, A.K. Ekert, and C. Macchiavello, Phys. Rev. Lett. 82, 4344 (1999).
25. R.F. Werner, Phys. Rev. A 40, 4277 (1989).
26. B of the output qubit cannot be increased by further purification steps of already stored ebits.
27. This disadvantage can be overcome by restricting oneself to simple spin measurements in connection with an adaptive algorithm. The adaptive algorithm is used to select the direction in which the spin is measured from measurement to measurement. With such schemes, fidelities very close to the optimal one [Eq. (19)], can be achieved. For details, see Ref. [6].
28. 0) for the case of N=2 initial ebits. Also, for the qubit-purification method there is no difference on average between N=1 and 2, as can be seen from Fig. 3.
29. 0 → 5/8=0.625 for N→∝.
30. H.-J. Briegel, W. Dür, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 81, 5932 (1998); W. Dür, H.-J. Briegel, J.I. Cirac, and P. Zoller, Phys. Rev. A 59, 169 (1999).
31. H.-J. Briegel, W. Dür, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 81, 5932 (1998); W. Dür, H.-J. Briegel, J.I. Cirac, and P. Zoller, Phys. Rev. A 59, 169 (1999).