Converting nonlocality into contextuality

被引:0
|
作者
Svozil, Karl [1 ]
机构
[1] TU Wien, Inst Theoret Phys, Wiedner Hauptstr 8-10-136, A-1040 Vienna, Austria
关键词
HIDDEN-VARIABLES; QUANTUM;
D O I
10.1103/PhysRevA.110.012215
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Matrix pencils provide a robust method for finding simultaneous eigensystems of mutually commuting degenerate operators. In this paper, we utilize these techniques to investigate the quantum logical structures of the Peres-Mermin square and the Greenberger-Horne-Zeilinger-Mermin configuration. Our analysis uncovers analogous complete contradictions between classical and quantum predictions in a four-dimensional system involving two spin-1/2 particles.
引用
收藏
页数:6
相关论文
共 50 条
  • [1] Converting Contextuality into Nonlocality
    Cabello, Adan
    [J]. PHYSICAL REVIEW LETTERS, 2021, 127 (07)
  • [2] Conditions for logical contextuality and nonlocality
    Santos, Leonardo
    Amaral, Barbara
    [J]. PHYSICAL REVIEW A, 2021, 104 (02)
  • [3] Contextuality and nonlocality of indistinguishable particles
    Gangopadhyay, Debajyoti
    Srikanth, R.
    [J]. PHYSICA SCRIPTA, 2019, 94 (12)
  • [4] A Combinatorial Approach to Nonlocality and Contextuality
    Acin, Antonio
    Fritz, Tobias
    Leverrier, Anthony
    Sainz, Belen
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 334 (02) : 533 - 628
  • [5] Contextuality, Nonlocality and Counterfactual Arguments
    Gian Carlo Ghirardi
    Karl Wienand
    [J]. Foundations of Physics, 2009, 39 : 776 - 789
  • [6] Nonlocality from Local Contextuality
    Liu, Bi-Heng
    Hu, Xiao-Min
    Chen, Jiang-Shan
    Huang, Yun-Feng
    Han, Yong-Jian
    Li, Chuan-Feng
    Guo, Guang-Can
    Cabello, Adan
    [J]. PHYSICAL REVIEW LETTERS, 2016, 117 (22)
  • [7] A Combinatorial Approach to Nonlocality and Contextuality
    Antonio Acín
    Tobias Fritz
    Anthony Leverrier
    Ana Belén Sainz
    [J]. Communications in Mathematical Physics, 2015, 334 : 533 - 628
  • [8] Contextuality, Nonlocality and Counterfactual Arguments
    Ghirardi, Gian Carlo
    Wienand, Karl
    [J]. FOUNDATIONS OF PHYSICS, 2009, 39 (07) : 776 - 789
  • [9] Axiomatic approach to contextuality and nonlocality
    Horodecki, Karol
    Grudka, Andrzej
    Joshi, Pankaj
    Klobus, Waldemar
    Lodyga, Justyna
    [J]. PHYSICAL REVIEW A, 2015, 92 (03):
  • [10] Contextuality and Nonlocality in 'No Signaling' Theories
    Bub, Jeffrey
    Stairs, Allen
    [J]. FOUNDATIONS OF PHYSICS, 2009, 39 (07) : 690 - 711