Detecting entanglement of continuous variables with three mutually unbiased bases

被引:16
|
作者
Paul, E. C. [1 ]
Tasca, D. S. [1 ,2 ]
Rudnicki, Lukasz [3 ,4 ]
Walborn, S. P. [1 ]
机构
[1] Univ Fed Rio de Janeiro, Inst Fis, Caixa Postal 68528, BR-21941972 Rio De Janeiro, RJ, Brazil
[2] Univ Fed Fluminense, Inst Fis, BR-24210346 Niteroi, RJ, Brazil
[3] Univ Cologne, Inst Theoret Phys, Zulpicher Str 77, D-50937 Cologne, Germany
[4] Polish Acad Sci, Ctr Theoret Phys, Aleja Lotnikow 32-46, PL-02668 Warsaw, Poland
关键词
SEPARABILITY CRITERION; SYSTEMS;
D O I
10.1103/PhysRevA.94.012303
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
An uncertainty relation is introduced for a symmetric arrangement of three mutually unbiased bases in continuous-variable phase space, and then used to derive a bipartite entanglement criterion based on the variance of global operators composed of these three phase-space variables. We test this criterion using spatial variables of photon pairs and show that the entangled photons are correlated in three pairs of bases.
引用
收藏
页数:6
相关论文
共 50 条
  • [1] Mutually unbiased bases for continuous variables
    Weigert, Stefan
    Wilkinson, Michael
    [J]. PHYSICAL REVIEW A, 2008, 78 (02):
  • [2] Entanglement in mutually unbiased bases
    Wiesniak, M.
    Paterek, T.
    Zeilinger, A.
    [J]. NEW JOURNAL OF PHYSICS, 2011, 13
  • [3] Detecting entanglement can be more effective with inequivalent mutually unbiased bases
    Hiesmayr, B. C.
    McNulty, D.
    Baek, S.
    Singha Roy, S.
    Bae, J.
    Chruscinski, D.
    [J]. NEW JOURNAL OF PHYSICS, 2021, 23 (09):
  • [4] Mutually unbiased bases and bound entanglement
    Hiesmayr, Beatrix C.
    Loffler, Wolfgang
    [J]. PHYSICA SCRIPTA, 2014, T160
  • [5] Entanglement detection via mutually unbiased bases
    Spengler, Christoph
    Huber, Marcus
    Brierley, Stephen
    Adaktylos, Theodor
    Hiesmayr, Beatrix C.
    [J]. PHYSICAL REVIEW A, 2012, 86 (02):
  • [6] Entanglement witnesses from mutually unbiased bases
    Chruscinski, Dariusz
    Sarbicki, Gniewomir
    Wudarski, Filip
    [J]. PHYSICAL REVIEW A, 2018, 97 (03)
  • [7] Constructing Entanglement Witnesses from Two Mutually Unbiased Bases
    Wang, Kun
    Zheng, Zhu-Jun
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2021, 60 (01) : 274 - 283
  • [8] Three ways to look at mutually unbiased bases
    Bengtsson, Ingemar
    [J]. Foundations of Probability and Physics - 4, 2007, 889 : 40 - 51
  • [9] Sizing up entanglement in mutually unbiased bases with Fisher information
    Rehacek, J.
    Hradil, Z.
    Klimov, A. B.
    Leuchs, G.
    Sanchez-Soto, L. L.
    [J]. PHYSICAL REVIEW A, 2013, 88 (05):
  • [10] Constructing Entanglement Witnesses from Two Mutually Unbiased Bases
    Kun Wang
    Zhu-Jun Zheng
    [J]. International Journal of Theoretical Physics, 2021, 60 : 274 - 283