New Bell inequalities for three-qubit pure states

被引:15
|
作者
Das, Arpan [1 ,2 ]
Datta, Chandan [1 ,2 ]
Agrawal, Pankaj [1 ,2 ]
机构
[1] Sainik Sch, Inst Phys, Sachivalaya Marg, Bhubaneswar 751005, Odisha, India
[2] Homi Bhabha Natl Inst, Training Sch Complex, Bombay 400085, Maharashtra, India
关键词
Entanglement; Bell inequality; ENTANGLED STATES; VIOLATION; QUBITS;
D O I
10.1016/j.physleta.2017.10.023
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We introduce a set of Bell inequalities for a three-qubit system. Each inequality within this set is violated by all generalized GHZ states. The more entangled a generalized GHZ state is, the more will be the violation. This establishes a relation between nonlocality and entanglement for this class of states. Certain inequalities within this set are violated by pure biseparable states. We also provide numerical evidence that at least one of these Bell inequalities is violated by a pure genuinely entangled state. These Bell inequalities can distinguish between separable, biseparable and genuinely entangled pure three-qubit states. We also generalize this set to n-qubit systems and may be suitable to characterize the entanglement of n-qubit pure states. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:3928 / 3933
页数:6
相关论文
共 50 条
  • [1] Bell inequalities classifying biseparable three-qubit states
    Sun, Bao-Zhi
    Fei, Shao-Ming
    [J]. PHYSICAL REVIEW A, 2006, 74 (03):
  • [2] Bell's inequalities for three-qubit entangled states with white noise
    Chang, Jinho
    Kwon, Younghun
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (03) : 1201 - 1207
  • [3] On local invariants of pure three-qubit states
    Sudbery, A
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (03): : 643 - 652
  • [4] Lorentz invariants of pure three-qubit states
    Devi, A. R. Usha
    Sudha, H. Akshata
    Shenoy, H. Akshata
    Karthik, H. S.
    Karthik, B. N.
    [J]. QUANTUM INFORMATION PROCESSING, 2024, 23 (07)
  • [5] Entanglement and kinds of pure three-qubit states
    Department of Applied Mathematics and Physics, Xi'an Institute of Posts and Telecommunications, Xi'an 710061, China
    不详
    [J]. Hsi An Chiao Tung Ta Hsueh, 2006, 2 (243-245):
  • [6] Entanglement of Three-Qubit Random Pure States
    Enriquez, Marco
    Delgado, Francisco
    Zyczkowski, Karol
    [J]. ENTROPY, 2018, 20 (10):
  • [7] Single Bell inequality to detect genuine nonlocality in three-qubit pure genuinely entangled states
    Stachura, Ignacy
    Makuta, Owidiusz
    Augusiak, Remigiusz
    [J]. NEW JOURNAL OF PHYSICS, 2024, 26 (09):
  • [8] Monogamy of quantum correlations in three-qubit pure states
    Sudha
    Devi, A. R. Usha
    Rajagopal, A. K.
    [J]. PHYSICAL REVIEW A, 2012, 85 (01)
  • [9] Deterministic transformations of three-qubit entangled pure states
    Torun, Gokhan
    Yildiz, Ali
    [J]. PHYSICAL REVIEW A, 2019, 100 (02)
  • [10] On the Symplectic Reduced Space of Three-Qubit Pure States
    Molladavoudi, Saeid
    [J]. MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2014, 8 : 47 - 62