THE CHSH-TYPE INEQUALITIES FOR INFINITE-DIMENSIONAL QUANTUM SYSTEMS

被引：0
作者：
Guo, Yu [1 ,2 ]
机构：
[1] Shanxi Datong Univ, Dept Math, Datong 037009, Peoples R China
[2] Taiyuan Univ Technol, Inst Optoelect Engn, Taiyuan 030024, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2013年 / 27卷 / 21期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Entanglement; CHSH-type inequality; distillation; infinite-dimensional system; BELL INEQUALITY; STATES; ENTANGLEMENT; SEPARABILITY; SUFFICIENT;
D O I：
10.1142/S0217984913501510
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
By establishing CHSH operators and CHSH-type inequalities, we show that any entangled pure state in infinite-dimensional systems is entangled in a 2 circle times 2 subspace. We find that, for infinite-dimensional systems, the corresponding properties are similar to that of the two-qubit case: (i) The CHSH-type inequalities provide a sufficient and necessary condition for separability of pure states; (ii) The CHSH operators satisfy the Cirel'son inequalities; (iii) Any state which violates one of these Bell inequalities is distillable.
引用
收藏
页数：9
相关论文
共 50 条
  • [41] Holographic Relative Entropy in Infinite-Dimensional Hilbert Spaces
    Kang, Monica Jinwoo
    Kolchmeyer, David K.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 400 (03) : 1665 - 1695
  • [42] Bell-CHSH function approach to quantum phase transitions in matrix product systems
    Huang, Hai-Lin
    Sun, Zhao-Yu
    Wang, Bo
    EUROPEAN PHYSICAL JOURNAL B, 2013, 86 (06)
  • [43] Non-Smooth Optimization for Robust Control of Infinite-Dimensional Systems
    Apkarian, Pierre
    Noll, Dominikus
    Ravanbod, Laleh
    SET-VALUED AND VARIATIONAL ANALYSIS, 2018, 26 (02) : 405 - 429
  • [44] Non-Smooth Optimization for Robust Control of Infinite-Dimensional Systems
    Pierre Apkarian
    Dominikus Noll
    Laleh Ravanbod
    Set-Valued and Variational Analysis, 2018, 26 : 405 - 429
  • [45] BOUNDED REAL AND POSITIVE REAL BALANCED TRUNCATION FOR INFINITE-DIMENSIONAL SYSTEMS
    Guiver, Chris
    Opmeer, Mark R.
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2013, 3 (01) : 83 - 119
  • [46] ON BIBO STABILITY OF INFINITE-DIMENSIONAL LINEAR STATE-SPACE SYSTEMS
    Schwenninger, Felix l.
    Wierzba, Alexander A.
    Zwart, Hans
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2024, 62 (01) : 22 - 41
  • [47] Discrete-Time Kalman Filter Design for Linear Infinite-Dimensional Systems
    Xie, Junyao
    Dubljevic, Stevan
    PROCESSES, 2019, 7 (07) : 1 - 24
  • [48] Prescribed-time input-to-state stability of infinite-dimensional systems
    Sun, Xiaorong
    Zheng, Jun
    Zhu, Guchuan
    39TH YOUTH ACADEMIC ANNUAL CONFERENCE OF CHINESE ASSOCIATION OF AUTOMATION, YAC 2024, 2024, : 1900 - 1905
  • [49] The CHSH Test Can be Used for All Quantum-Describable Systems
    Uzan, Pierre
    FOUNDATIONS OF PHYSICS, 2020, 50 (07) : 708 - 714
  • [50] The CHSH Test Can be Used for All Quantum-Describable Systems
    Pierre Uzan
    Foundations of Physics, 2020, 50 : 708 - 714
12345