Non-Boolean probabilities and quantum measurement

被引:17
|
作者
Niestegge, G
机构
[1] D-81373 Muenchen
来源
关键词
D O I
10.1088/0305-4470/34/30/313
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A non-Boolean extension of the classical probability model is proposed. The non-Boolean probabilities reproduce typical quantum phenomena. The proposed model is more general and more abstract, but easier to interpret, than the quantum mechanical Hilbert space formalism and exhibits a particular phenomenon (state-independent conditional probabilities) which may provide new opportunities for an understanding of the quantum measurement process. Examples of the proposed model are provided, using Jordan operator algebras.
引用
收藏
页码:6031 / 6042
页数:12
相关论文
共 50 条
  • [1] Non-Boolean quantum amplitude amplification and quantum mean estimation
    Shyamsundar, Prasanth
    [J]. QUANTUM INFORMATION PROCESSING, 2023, 22 (12)
  • [2] Non-Boolean quantum amplitude amplification and quantum mean estimation
    Prasanth Shyamsundar
    [J]. Quantum Information Processing, 22
  • [3] The nonapproximability of non-Boolean predicates
    Engebretsen, L
    [J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2004, 18 (01) : 114 - 129
  • [4] FINITE NON-BOOLEAN ALGEBRA
    QUACKENB.RW
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (05): : 754 - &
  • [5] Boolean and Non-Boolean Computation With Spin Devices
    Sharad, Mrigank
    Augustine, Charles
    Roy, Kaushik
    [J]. 2012 IEEE INTERNATIONAL ELECTRON DEVICES MEETING (IEDM), 2012,
  • [6] The non-approximability of non-Boolean predicates
    Engebretsen, L
    [J]. APPROXIMATION, RANDOMIZATION, AND COMBINATORIAL OPTIMIZATION: ALGORITHMS AND TECHNIQUES, 2001, 2129 : 241 - 248
  • [7] Probabilistic frames for non-Boolean phenomena
    Narens, Louis
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2016, 374 (2058):
  • [8] Non-volatile spin switch for Boolean and non-Boolean logic
    Datta, Supriyo
    Salahuddin, Sayeef
    Behin-Aein, Behtash
    [J]. APPLIED PHYSICS LETTERS, 2012, 101 (25)
  • [9] THEORY REDUCTION AND NON-BOOLEAN THEORIES
    PRIMAS, H
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1977, 4 (03) : 281 - 301
  • [10] Exploring Boolean and Non-Boolean Computing with Spin Torque Devices
    Roy, Kaushik
    Sharad, Mrigank
    Fan, Deliang
    Yogendra, Karthik
    [J]. 2013 IEEE/ACM INTERNATIONAL CONFERENCE ON COMPUTER-AIDED DESIGN (ICCAD), 2013, : 576 - 580