Bell-type inequalities in classical probability theory

被引：3
|
作者：
Akopyan, Loran V. [1 ]
Man'ko, Vladimir I. [2 ]
机构：
[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Region, Russia
[2] Russian Acad Sci, PN Lebedev Phys Inst, Moscow 119991, Russia
来源：
JOURNAL OF RUSSIAN LASER RESEARCH | 2009年 / 30卷 / 01期
关键词：
Bell's inequalities; probability distributions; stochastic matrices; qubits; QUDIT STATES; STAR PRODUCTS; QUANTUM; DISTRIBUTIONS; DUALITY;
D O I：
10.1007/s10946-009-9052-7
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A review of the tomographic probability representation for qudit sates is presented. Properties of related stochastic matrices are considered. Tomograms of two qubits and three qubits are used to study the Bell-type inequalities. The Bell-type inequalities in the standard classical probability theory are discussed. Joint probability distributions of classical systems with several random variables and their properties in the case of factorized distribution functions are considered.
引用
收藏
页码：82 / 100
页数：19
相关论文
共 50 条
  • [21] DEFINETTIS THEOREM AND BELL-TYPE CORRELATION INEQUALITIES
    BACH, A
    EUROPHYSICS LETTERS, 1991, 16 (06): : 513 - 518
  • [22] Conjunctions, Disjunctions, and Bell-Type Inequalities in Orthoalgebras
    Jaroslaw Pykacz
    International Journal of Theoretical Physics, 1998, 37 : 1171 - 1172
  • [23] Synthetic approach to Bell's inequalities and a fundamental Bell-type theorem
    Rebilas, Krzysztof
    PHYSICS LETTERS A, 2024, 516
  • [24] Bell-type inequalities and upper bounds for multiqudit states
    Loran V. Akopyan
    Vladimir I. Man’ko
    Journal of Russian Laser Research, 2009, 30 : 338 - 358
  • [25] Molecular orientation entanglement and temporal Bell-type inequalities
    Milman, P.
    Keller, A.
    Charron, E.
    Atabek, O.
    EUROPEAN PHYSICAL JOURNAL D, 2009, 53 (03): : 383 - 392
  • [26] Bell-type inequalities for systems of relativistic vector bosons
    Barr, Alan J.
    Caban, Pawel
    Rembielinski, Jakub
    QUANTUM, 2023, 7
  • [27] Molecular orientation entanglement and temporal Bell-type inequalities
    P. Milman
    A. Keller
    E. Charron
    O. Atabek
    The European Physical Journal D, 2009, 53 : 383 - 392
  • [28] Bell-Type Inequalities for Bivariate Maps on Orthomodular Lattices
    Pykacz, Jaroslaw
    Valaskova, L'ubica
    Nanasiova, Ol'ga
    FOUNDATIONS OF PHYSICS, 2015, 45 (08) : 900 - 913
  • [29] Bell-Type Inequalities for Bivariate Maps on Orthomodular Lattices
    Jarosław Pykacz
    L’ubica Valášková
    Ol’ga Nánásiová
    Foundations of Physics, 2015, 45 : 900 - 913
  • [30] Bell-type inequalities and tomographic entropies of multiqudit states
    Loran V. Akopyan
    Vladimir I. Man’ko
    David K. Udumyan
    Journal of Russian Laser Research, 2010, 31 : 61 - 69
12345