Detecting genuine multipartite continuous-variable entanglement

被引:383
作者
van Loock, P [1 ]
Furusawa, A
机构
[1] Univ Erlangen Nurnberg, Zentrum Moderne Opt, Quantum Informat Theory Grp, D-91058 Erlangen, Germany
[2] Univ Tokyo, Dept Appl Phys, Tokyo 1138656, Japan
来源
PHYSICAL REVIEW A | 2003年 / 67卷 / 05期
关键词
D O I
10.1103/PhysRevA.67.052315
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We derive necessary conditions in terms of the variances of position and momentum linear combinations for all kinds of separability of a multiparty multimode continuous-variable state. Their violations can be sufficient for genuine multipartite entanglement, provided the combinations contain both conjugate variables of all modes. Hence, a complete state determination, for example, by detecting the entire correlation matrix of a Gaussian state, is not needed.
引用
收藏
页数:13
相关论文
共 42 条
  • [1] Nonlocality of the Einstein-Podolsky-Rosen state in the Wigner representation
    Banaszek, K
    Wódkiewicz, K
    [J]. PHYSICAL REVIEW A, 1998, 58 (06): : 4345 - 4347
  • [2] Bennett C. H., 1984, PROC IEEE INT C COMP, P175, DOI [DOI 10.1016/J.TCS.2014.05.025, 10.1016/j.tcs.2014.05.025]
  • [3] COMMUNICATION VIA ONE-PARTICLE AND 2-PARTICLE OPERATORS ON EINSTEIN-PODOLSKY-ROSEN STATES
    BENNETT, CH
    WIESNER, SJ
    [J]. PHYSICAL REVIEW LETTERS, 1992, 69 (20) : 2881 - 2884
  • [4] TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS
    BENNETT, CH
    BRASSARD, G
    CREPEAU, C
    JOZSA, R
    PERES, A
    WOOTTERS, WK
    [J]. PHYSICAL REVIEW LETTERS, 1993, 70 (13) : 1895 - 1899
  • [5] QUANTUM CRYPTOGRAPHY WITHOUT BELL THEOREM
    BENNETT, CH
    BRASSARD, G
    MERMIN, ND
    [J]. PHYSICAL REVIEW LETTERS, 1992, 68 (05) : 557 - 559
  • [6] Biased EPR entanglement and its application to teleportation
    Bowen, WP
    Lam, PK
    Ralph, TC
    [J]. JOURNAL OF MODERN OPTICS, 2003, 50 (05) : 801 - 813
  • [7] Teleportation of continuous quantum variables
    Braunstein, SL
    Kimble, HJ
    [J]. PHYSICAL REVIEW LETTERS, 1998, 80 (04) : 869 - 872
  • [8] Inseparability criterion for continuous variable systems
    Duan, LM
    Giedke, G
    Cirac, JI
    Zoller, P
    [J]. PHYSICAL REVIEW LETTERS, 2000, 84 (12) : 2722 - 2725
  • [9] Distilling Gaussian states with Gaussian operations is impossible
    Eisert, J
    Scheel, S
    Plenio, MB
    [J]. PHYSICAL REVIEW LETTERS, 2002, 89 (13) : 137903 - 137903
  • [10] QUANTUM CRYPTOGRAPHY BASED ON BELL THEOREM
    EKERT, AK
    [J]. PHYSICAL REVIEW LETTERS, 1991, 67 (06) : 661 - 663