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Volumn 3, Issue 1, 2003, Pages 55-63

On the structure of a reversible entanglement generating set for tripartite states

Author keywords

Asymptotic Entanglement Transformations; Multipartite Entanglement

Indexed keywords

QUANTUM ENTANGLEMENT;

EID: 0141483664     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: 10.26421/qic3.1-5     Document Type: Article
Times cited : (32)

References (33)
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    • note
    • s are separable. Physically, separable states are those that the different parties can prepare if they are allowed to use only local operations in each local system and to communicate classically. States that are not separable are called entangled.
  • 5
    • 85214044177 scopus 로고    scopus 로고
    • quant-ph/0004020
    • S. Wu and Y. Zhang, quant-ph/0004020.
    • Wu, S.1    Zhang, Y.2
  • 7
    • 85214042496 scopus 로고    scopus 로고
    • note
    • 3 to appear simultaneously and in arbitrary proportions on both sides of Eq. (4).
  • 10
    • 0032025985 scopus 로고    scopus 로고
    • V. Vedral, M. B. Plenio, M. A. Rippin and P. L. Knight, Phys. Rev. Lett. 78 (1997), 2275; V. Vedral and M. B. Plenio, Phys. Rev. A 57 (1998), 1619.
    • (1998) Phys. Rev. A , vol.57 , pp. 1619
    • Vedral, V.1    Plenio, M.B.2
  • 13
    • 85214037140 scopus 로고    scopus 로고
    • note
    • ⊗N.
  • 16
    • 0032341219 scopus 로고    scopus 로고
    • An heuristic justification for the first of these inequalities can be found in M. Plenio and V. Vedral, Contemp. Phys. 39 (1998), 431.
    • (1998) Contemp. Phys. , vol.39 , pp. 431
    • Plenio, M.1    Vedral, V.2
  • 17
    • 0033611008 scopus 로고    scopus 로고
    • Asymptotic transformations are only approximate reversible, in the sense that an o(1) error and o(N) inefficiency are allowed. Note that because of the continuity of the relative entropy of entanglement (see M. J. Donald and M. Horodecki, Phys. Lett. A 264 (1999), 257), an o(1) error in N copies of a state can reduce the relative entropy of entanglement by at most o(N). This term does not contribute to the regularized version of the relative entropy of entanglement.
    • (1999) Phys. Lett. A , vol.264 , pp. 257
    • Donald, M.J.1    Horodecki, M.2
  • 18
    • 85214053207 scopus 로고    scopus 로고
    • note
    • s as a result of its monotonicity under LOCC [9]. The only requirement is that Ω has to be invariant under LOCC, as it happens for Ω = Sep, PPT.
  • 21
    • 0042542909 scopus 로고    scopus 로고
    • P. Horodecki, Phys. Lett. A 232 (1997), 333; C. H. Bennett, D. P. DiVincenzo, T. Mor, P. W. Shor, J. A. Smolin and B. M. Terhal, Phys. Rev. Lett. 82 (1999), 5385; D. Bruß and A. Peres, Phys. Rev. A 61 (2000), R30301.
    • (1997) Phys. Lett. A , vol.232 , pp. 333
    • Horodecki, P.1
  • 23
    • 85035273876 scopus 로고    scopus 로고
    • P. Horodecki, Phys. Lett. A 232 (1997), 333; C. H. Bennett, D. P. DiVincenzo, T. Mor, P. W. Shor, J. A. Smolin and B. M. Terhal, Phys. Rev. Lett. 82 (1999), 5385; D. Bruß and A. Peres, Phys. Rev. A 61 (2000), R30301.
    • (2000) Phys. Rev. A , vol.61
    • Bruß, D.1    Peres, A.2
  • 25
  • 26
    • 85214052622 scopus 로고    scopus 로고
    • note
    • PPT(ρAB).
  • 27
    • 85214046316 scopus 로고    scopus 로고
    • private communication, has pointed out to us this powerful generalization of a result of [8]
    • D. P. DiVincenzo, private communication, has pointed out to us this powerful generalization of a result of [8].
    • DiVincenzo, D.P.1
  • 32
    • 85214042725 scopus 로고    scopus 로고
    • note
    • This can be checked by noticing that the bipartite reduced density matrices of the states discussed in [6] (which contain the Schmidt-decomposable states of [3] as a particular case) consist of a mixture of locally orthogonal pure states (either product or entangled). Thus, the entanglement of the mixed state can be distilled without losses by means of a projective local measurement that probabilistically picks up one of the pure states of the mixture.
  • 33
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    • quant-ph/0201079
    • Yu Shi, quant-ph/0201079.
    • Shi, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.