메뉴 건너뛰기




Volumn 10, Issue 3, 2006, Pages 291-317

The Laplacian of a graph as a density Matrix: A basic combinatorial approach to separability of mixed states

Author keywords

Density matrix; Entanglement; Graph laplacian

Indexed keywords


EID: 33845794492     PISSN: 02180006     EISSN: 02193094     Source Type: Journal    
DOI: 10.1007/s00026-006-0289-3     Document Type: Article
Times cited : (166)

References (12)
  • 1
  • 2
    • 0038166410 scopus 로고    scopus 로고
    • Algebraic graph theory
    • Springer-Verlag, New York
    • C. Godsil and G. Royle, Algebraic Graph Theory, Graduate Texts in Mathematics, Vol. 207, Springer-Verlag, New York, 2001.
    • (2001) Graduate Texts in Mathematics , vol.207
    • Godsil, C.1    Royle, G.2
  • 3
    • 0042376719 scopus 로고    scopus 로고
    • Separability of mixed states: Necessary and sufficient conditions
    • M. Horodecki, P. Horodecki, and R. Horodecki, Separability of mixed states: necessary and sufficient conditions, Phys. Lett. A 223 (1-2) (1996) 1-8.
    • (1996) Phys. Lett. A , vol.223 , Issue.1-2 , pp. 1-8
    • Horodecki, M.1    Horodecki, P.2    Horodecki, R.3
  • 4
    • 0008001217 scopus 로고    scopus 로고
    • Mixed-state entanglement and distillation: Is there a "bound" entanglement in nature?
    • M. Horodecki, P. Horodecki, and R. Horodecki, Mixed-state entanglement and distillation: Is there a "bound" entanglement in nature? Phys. Rev. Lett. 80 (24) (1998) 5239-5242.
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.24 , pp. 5239-5242
    • Horodecki, M.1    Horodecki, P.2    Horodecki, R.3
  • 6
    • 0242307817 scopus 로고    scopus 로고
    • Value distribution of the eigenfunctions and spectral determinants of quantum star graphs
    • J.P. Keating, J. Marklof, and B. Winn, Value distribution of the eigenfunctions and spectral determinants of quantum star graphs, Comm. Math. Phys. 241 (2-3) (2003) 421-452.
    • (2003) Comm. Math. Phys. , vol.241 , Issue.2-3 , pp. 421-452
    • Keating, J.P.1    Marklof, J.2    Winn, B.3
  • 7
    • 0001216057 scopus 로고
    • The Laplacian spectrum of graphs
    • Wiley-Intersci. Publ., Wiley, New York
    • B. Mohar, The Laplacian spectrum of graphs, In: Graph Theory, Combinatorics, and Applications, Vol. 2, Wiley-Intersci. Publ., Wiley, New York, (1991) pp. 871-898.
    • (1991) Graph Theory, Combinatorics, and Applications , vol.2 , pp. 871-898
    • Mohar, B.1
  • 8
    • 3543090890 scopus 로고
    • Quantum theory: Concepts and methods
    • Kluwer Academic Publishers Group, Dordrecht
    • A Peres, Quantum Theory: Concepts and Methods, Fundamental Theories of Physics, Vol. 57, Kluwer Academic Publishers Group, Dordrecht, 1993.
    • (1993) Fundamental Theories of Physics , vol.57
    • Peres, A.1
  • 9
    • 0037574296 scopus 로고    scopus 로고
    • Separability criterion for density matrices
    • A. Peres, Separability criterion for density matrices, Phys. Rev. Lett. 77 (8) (1996) 1413-1415.
    • (1996) Phys. Rev. Lett. , vol.77 , Issue.8 , pp. 1413-1415
    • Peres, A.1
  • 11
    • 31244438087 scopus 로고    scopus 로고
    • A sharp upper bound on the largest eigenvalue of the Laplacian matrix of a graph
    • J.-L. Shu, Y. Hong, and W.-R. Kai, A sharp upper bound on the largest eigenvalue of the Laplacian matrix of a graph, Linear Algebra Appl. 347 (2002) 123-129.
    • (2002) Linear Algebra Appl. , vol.347 , pp. 123-129
    • Shu, J.-L.1    Hong, Y.2    Kai, W.-R.3
  • 12
    • 0002548162 scopus 로고    scopus 로고
    • Entanglement of formation and concurrence
    • W.K. Wootters, Entanglement of formation and concurrence, Quantum Inform. Comput. 1 (1) (2001) 27-44.
    • (2001) Quantum Inform. Comput. , vol.1 , Issue.1 , pp. 27-44
    • Wootters, W.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.