Freudenthal triple classification of three-qubit entanglement

被引:41
|
作者
Borsten, L. [1 ]
Dahanayake, D. [1 ]
Duff, M. J. [1 ]
Rubens, W. [1 ]
Ebrahim, H. [2 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, London SW7 2BZ, England
[2] Brandeis Univ, Martin Fisher Sch Phys, Theory Grp, Waltham, MA 02454 USA
来源
PHYSICAL REVIEW A | 2009年 / 80卷 / 03期
关键词
MAXWELL-EINSTEIN SUPERGRAVITY; BLACK-HOLES; EXCEPTIONAL GROUPS; JORDAN ALGEBRAS; ORBITS; ATTRACTORS; LECTURES; DUALITY;
D O I
10.1103/PhysRevA.80.032326
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We show that the three-qubit entanglement classes, (0) null, (1) separable A-B-C, (2a) biseparable A-BC, (2b) biseparable B-CA, (2c) biseparable C-AB, (3) W, and (4) Greenberger-Horne-Zeilinger, correspond respectively to ranks 0, 1, 2a, 2b, 2c, 3, and 4 of a Freudenthal triple system defined over the Jordan algebra C circle plus C circle plus C. We also compute the corresponding stochastic local operations and classical communication orbits.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] A classification of entanglement in three-qubit systems
    C. Sabín
    G. García-Alcaine
    [J]. The European Physical Journal D, 2008, 48 : 435 - 442
  • [2] A classification of entanglement in three-qubit systems
    Sabin, C.
    Garcia-Alcaine, G.
    [J]. EUROPEAN PHYSICAL JOURNAL D, 2008, 48 (03): : 435 - 442
  • [3] Identification of three-qubit entanglement
    Zhao, Ming-Jing
    Zhang, Ting-Gui
    Li-Jost, Xianqing
    Fei, Shao-Ming
    [J]. PHYSICAL REVIEW A, 2013, 87 (01):
  • [4] Entanglement of three-qubit geometry
    Brody, Dorje C.
    Gustavsson, Anna C. T.
    Hughston, Lane P.
    [J]. THIRD INTERNATIONAL WORKSHOP DICE2006 - QUANTUM MECHANICS BETWEEN DECOHERENCE AND DETERMINISM: NEW ASPECTS FROM PARTICLE PHYSICS TO COSMOLOGY - CONTRIBUTED PAPERS, 2007, 67
  • [5] The Freudenthal triple classification of 3-qubit entanglement and STU black hole entropy
    Borsten, L.
    [J]. 6TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES (QTS6), 2013, 462
  • [6] Three-qubit entanglement sudden death
    Ge Min
    Zhu Lin-Fan
    Qiu Liang
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 49 (06) : 1443 - 1448
  • [7] Three-Qubit Entanglement Sudden Death
    GE Min~(1
    [J]. Communications in Theoretical Physics, 2008, 49 (06) : 1443 - 1448
  • [8] Entanglement criteria for the three-qubit states
    Akbari-Kourbolagh, Y.
    [J]. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2017, 15 (07)
  • [9] Entanglement in a molecular three-qubit system
    Pal, Amit Kumar
    Bose, Indrani
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 2010, 22 (01)
  • [10] Entanglement of assistance in three-qubit systems
    Pollock, Klee
    Wang, Ge
    Chitambar, Eric
    [J]. PHYSICAL REVIEW A, 2021, 103 (03)