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Volumn 59, Issue 1, 1999, Pages 169-181

Quantum repeaters based on entanglement purification

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[No Author keywords available]

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EID: 0001255085     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.169     Document Type: Article
Times cited : (798)

References (33)
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    • Adam Hilger, Bristol
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    • (1986) Frontiers in Quantum Optics , pp. 534-582
    • Glauber, R.J.1
  • 7
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    • For optical fibers, this length is typically 10 km; see, e.g
    • For optical fibers, this length is typically 10 km;see, e.g., 5.
  • 8
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    • P. Shor, e-print quant-ph/9605011 (unpublished)
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  • 11
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    • for a review see, e.g., J. Preskill, e-print quant-ph/9712048 (unpublished).
    • Preskill, J.1
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    • C. Zalka, e-print quant-ph/9612028 (unpublished).
    • Zalka, C.1
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    • G. Giedke et al, e-print quant-ph/9809043 (unpublished).
    • Giedke, G.1
  • 24
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    • A similar form as in Eq. (4) may be obtained for two-bit rotations with a corresponding isotropic noise function, although the calculation is more complicated. In particular, we have not yet been successful in giving proof in terms of a manifest parametrization-independent average over the invariant group manifold of SU(4). Isotropic noise in this case means that the depolarizing channel does not distinguish between the two qubits and acts on them in a symmetric way
    • A similar form as in Eq. (4) may be obtained for two-bit rotations with a corresponding isotropic noise function, although the calculation is more complicated. In particular, we have not yet been successful in giving proof in terms of a manifest parametrization-independent average over the invariant group manifold of SU(4). Isotropic noise in this case means that the depolarizing channel does not distinguish between the two qubits and acts on them in a symmetric way.
  • 25
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    • The twirl is realized by (random) one-qubit operations described by the error parameter (Formula presented) Since one can perform instead of the twirl followed by a C operation a joined two-qubit operation, which is described by a single error parameter (Formula presented) the error parameter (Formula presented) does not appear in formula (9), although the (noisy) depolarization is already included
    • The twirl is realized by (random) one-qubit operations described by the error parameter (Formula presented) Since one can perform instead of the twirl followed by a C operation a joined two-qubit operation, which is described by a single error parameter (Formula presented) the error parameter (Formula presented) does not appear in formula (9), although the (noisy) depolarization is already included.
  • 26
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    • C. W. Helstrom, Quantum Detection and Estimation Theory (Associate Press, London, 1976).
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  • 27
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    • Any sequence of operations at the same node, e.g., two single qubit operations (Formula presented) followed by a C operation, will be described by a single two-qubit operation (Formula presented) and consequently with only a single error parameter
    • Any sequence of operations at the same node, e.g., two single qubit operations (Formula presented) followed by a C operation, will be described by a single two-qubit operation (Formula presented) and consequently with only a single error parameter.
  • 28
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    • W. Dür, Master thesis, available under http://www.uibk.ac.at/c/c7/c705/staff/wd.html
    • W. Dür, Master thesis, available under http://www.uibk.ac.at/c/c7/c705/staff/wd.html
  • 29
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    • See also N. Lütkenhaus (unpublished)
    • See also N. Lütkenhaus (unpublished).
  • 30
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    • A. Zeilinger et al, Phys. Rev. Lett. 78, 3031 (1997). In their scheme, however, a three-particle entangled state is obtained rather than a distant EPR pair.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3031
    • Zeilinger, A.1
  • 31
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    • This procedure is not necessary, but to have a consistent model for both connection and purification, we want to describe all operations in terms of Eqs. (6) and (7)
    • This procedure is not necessary, but to have a consistent model for both connection and purification, we want to describe all operations in terms of Eqs. (6) and (7).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.