메뉴 건너뛰기




Volumn 67, Issue 1, 2003, Pages

Classification of multipartite entangled states by multidimensional determinants

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; DATA PROCESSING; GROUND STATE; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBABILITY;

EID: 0037243640     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (255)

References (38)
  • 8
    • 0012648033 scopus 로고    scopus 로고
    • note
    • SLOCC was tied to SL × SL in Ref. [5]. Since we treat |Ψ> as a ray, i.e., an un-normalized vector, we rather relate SLOCC to GL × GL.
  • 9
    • 0012649432 scopus 로고    scopus 로고
    • note
    • The local rank can also be defined as the rank of the reduced density matrix traced out for all except one party. Note that this definition is applicable to the multipartite case.
  • 14
    • 0012748384 scopus 로고    scopus 로고
    • note
    • The tensor rank means the number of terms in the minimal decomposition of |Ψ> in Eq. (3) by separable states. It coincides with the local rank the bipartite case.
  • 16
    • 0012660021 scopus 로고    scopus 로고
    • e-print quant-ph/0008031
    • J.-L. Brylinski, e-print quant-ph/0008031.
    • Brylinski, J.-L.1
  • 20
    • 85088488679 scopus 로고    scopus 로고
    • note
    • 3, so that it is separable (not genuine four-partite entangled).
  • 27
  • 29
    • 0012660022 scopus 로고    scopus 로고
    • note
    • If there exists a noninvertible local operation between SLOCC orbits, some of the local ranks decrease. Note that the converse is generally not the case. However, in our examples in Sec. IV, we do find some noninvertible local operations for the decrease of local ranks.
  • 36
    • 0034652055 scopus 로고    scopus 로고
    • note
    • n is invariant up to sign under permutations of the parties.
    • (2000) J. Mod. Opt. , vol.47 , pp. 355
    • Vidal, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.