Entanglement detection via mutually unbiased bases

被引:154
|
作者
Spengler, Christoph [1 ]
Huber, Marcus [1 ,2 ]
Brierley, Stephen [2 ]
Adaktylos, Theodor [1 ]
Hiesmayr, Beatrix C. [1 ,3 ]
机构
[1] Univ Vienna, Fac Phys, A-1090 Vienna, Austria
[2] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England
[3] Masaryk Univ, Inst Theoret Phys & Astrophys, CS-61137 Brno, Czech Republic
来源
PHYSICAL REVIEW A | 2012年 / 86卷 / 02期
关键词
KINGS PROBLEM;
D O I
10.1103/PhysRevA.86.022311
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We investigate correlations among complementary observables. In particular, we show how to take advantage of mutually unbiased bases for the efficient detection of entanglement in arbitrarily high-dimensional, multipartite, and continuous-variable quantum systems. The introduced entanglement criteria are relatively easy to implement experimentally since they require only a few local measurement settings. In addition, we establish a link between the separability problem and the maximum number of mutually unbiased bases-opening an additional avenue in this long-standing open problem.
引用
收藏
页数:8
相关论文
共 50 条
  • [21] Mutually unbiased unitary bases
    Shaari, Jesni Shamsul
    Nasir, Rinie N. M.
    Mancini, Stefano
    [J]. PHYSICAL REVIEW A, 2016, 94 (05)
  • [22] Orbits of mutually unbiased bases
    Blanchfield, Kate
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (13)
  • [23] Covariant mutually unbiased bases
    Carmeli, Claudio
    Schultz, Jussi
    Toigo, Alessandro
    [J]. REVIEWS IN MATHEMATICAL PHYSICS, 2016, 28 (04)
  • [24] The mutually unbiased bases revisited
    Combescure, Monique
    [J]. ADVENTURES IN MATHEMATICAL PHYSICS, 2007, 447 : 29 - 43
  • [25] Angular momentum and mutually unbiased bases
    Kibler, MR
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (11-13): : 1792 - 1801
  • [26] Quantum teleportation with mutually unbiased bases
    Dongxu Chen
    Liyun Zhang
    Junhua Zhang
    [J]. Quantum Information Processing, 2020, 19
  • [27] Quantum coherence in mutually unbiased bases
    Yao-Kun Wang
    Li-Zhu Ge
    Yuan-Hong Tao
    [J]. Quantum Information Processing, 2019, 18
  • [28] The Algebraic Structure of Mutually Unbiased Bases
    Hall, Joanne L.
    Rao, Asha
    [J]. 2008 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS, VOLS 1-3, 2008, : 298 - 302
  • [29] The limitations of nice mutually unbiased bases
    Michael Aschbacher
    Andrew M. Childs
    Paweł Wocjan
    [J]. Journal of Algebraic Combinatorics, 2007, 25 : 111 - 123
  • [30] The limitations of nice mutually unbiased bases
    Aschbacher, Michael
    Childs, Andrew M.
    Wocjan, Pawel
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2007, 25 (02) : 111 - 123