Evaluating the geometric measure of multiparticle entanglement

被引:25
作者
Buchholz, Lars Erik [1 ]
Moroder, Tobias [1 ]
Guehne, Otfried [1 ]
机构
[1] Univ Siegen, Nat Wissensch Tech Fak, Walter Flex Str 3, D-57068 Siegen, Germany
关键词
Multiparticle entanglement; Quantum information processing; STATES;
D O I
10.1002/andp.201500293
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present an analytical approach to evaluate the geometric measure of multiparticle entanglement for mixed quantum states. Our method allows the computation of this measure for a family of multiparticle states with a certain symmetry and delivers lower bounds on the measure for general states. It works for an arbitrary number of particles, for arbitrary classes of multiparticle entanglement, and can also be used to determine other entanglement measures.
引用
收藏
页码:278 / 287
页数:10
相关论文
共 31 条
  • [1] Bagchi S., 2012, IWQI 2012 WORKSH ALL
  • [2] Hierarchies of geometric entanglement
    Blasone, M.
    Dell'Anno, F.
    De Siena, S.
    Illuminati, F.
    [J]. PHYSICAL REVIEW A, 2008, 77 (06):
  • [3] Dür W, 2001, J PHYS A-MATH GEN, V34, P6837, DOI 10.1088/0305-4470/34/35/310
  • [4] Quantitative entanglement witnesses
    Eisert, J.
    Brandao, F. G. S. L.
    Audenaert, K. M. R.
    [J]. NEW JOURNAL OF PHYSICS, 2007, 9
  • [5] Practical method to obtain a lower bound to the three-tangle
    Eltschka, Christopher
    Siewert, Jens
    [J]. PHYSICAL REVIEW A, 2014, 89 (02):
  • [6] Entanglement of Three-Qubit Greenberger-Horne-Zeilinger-Symmetric States
    Eltschka, Christopher
    Siewert, Jens
    [J]. PHYSICAL REVIEW LETTERS, 2012, 108 (02)
  • [7] Estimating entanglement measures in experiments
    Guehne, O.
    Reimpell, M.
    Werner, R. F.
    [J]. PHYSICAL REVIEW LETTERS, 2007, 98 (11)
  • [8] Lower bounds on entanglement measures from incomplete information
    Guehne, O.
    Reimpell, M.
    Wemer, R. F.
    [J]. PHYSICAL REVIEW A, 2008, 77 (05):
  • [9] Multiparticle entanglement under the influence of decoherence
    Guehne, O.
    Bodoky, F.
    Blaauboer, M.
    [J]. PHYSICAL REVIEW A, 2008, 78 (06):
  • [10] Separability criteria for genuine multiparticle entanglement
    Guehne, Otfried
    Seevinck, Michael
    [J]. NEW JOURNAL OF PHYSICS, 2010, 12