QUANTUM SYSTEMS BASED UPON GALOIS FIELDS - FROM SUB-QUANTUM TO SUPER-QUANTUM CORRELATIONS

被引:5
作者
Chang, L. N. [1 ]
Lewis, Z. [1 ]
Minic, D. [1 ]
Takeuchi, T. [1 ]
机构
[1] Virginia Tech, Dept Phys, Blacksburg, VA 24061 USA
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2014年 / 29卷 / 3-4期
关键词
Bell inequalities; Galois fields; super-quantum correlations; quantum gravity; STATISTICAL DISTANCE; MECHANICS; GRAVITY; CONSEQUENCES; INEQUALITIES; NONLOCALITY; GEOMETRY; SPACE; TIME;
D O I
10.1142/S0217751X14300063
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
In this paper, we describe our recent work on discrete quantum theory based on Galois fields. In particular, we discuss how discrete quantum theory sheds new light on the foundations of quantum theory and we review an explicit model of super-quantum correlations we have constructed in this context. We also discuss the larger questions of the origins and foundations of quantum theory, as well as the relevance of super-quantum theory for the quantum theory of gravity.
引用
收藏
页数:23
相关论文
共 50 条
[21]   Generalized approach to quantify correlations in bipartite quantum systems [J].
Bussandri, D. G. ;
Majtey, A. P. ;
Lamberti, P. W. ;
Osan, T. M. .
QUANTUM INFORMATION PROCESSING, 2019, 18 (02)
[22]   Quantum correlations and dynamics from classical random fields valued in complex Hilbert spaces [J].
Khrennikov, Andrei .
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (08)
[23]   Physically accessible and inaccessible quantum correlations of Dirac fields in Schwarzschild spacetime [J].
Elghaayda, Samira ;
Ali, Asad ;
Al-Kuwari, Saif ;
Mansour, Mostafa .
PHYSICS LETTERS A, 2024, 525
[24]   From quantum carpets to quantum suprematism-the probability representation of qudit states and hidden correlations [J].
Man'ko, Margarita A. ;
Man'ko, Vladimir, I .
PHYSICA SCRIPTA, 2018, 93 (08)
[25]   Entanglement harvesting from electromagnetic quantum fields [J].
Lindel, Frieder ;
Herter, Alexa ;
Gebhart, Valentin ;
Faist, Jerome ;
Buhmann, Stefan Yoshi .
PHYSICAL REVIEW A, 2024, 110 (02)
[26]   Exact quantum correlations of conjugate variables from joint quadrature measurements [J].
Roy, S. M. .
PHYSICS LETTERS A, 2013, 377 (34-36) :2011-2015
[27]   Locality, correlations, information, and non-Hermitian quantum systems [J].
Barch, Brian .
PHYSICAL REVIEW B, 2024, 110 (09)
[28]   Experimental test of quantum correlations from Platonic graphs [J].
Xiao, Ya ;
Xu, Zhen-Peng ;
Li, Qiang ;
Su, Hong-Yi ;
Sun, Kai ;
Cabello, Adan ;
Xu, Jin-Shi ;
Chen, Jing-Ling ;
Li, Chuan-Feng ;
Guo, Guang-Can .
OPTICA, 2018, 5 (06) :718-722
[29]   Super Quantum Discord and Other Correlations For Tripartite GHZ-type Squeezed States [J].
Rfifi, S. ;
Siyouri, F. ;
El Baz, M. ;
Hassouni, Y. .
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2015, 67 (02) :311-317
[30]   Quantum and thermal pressures from light scalar fields [J].
Fischer, Hauke ;
Kaeding, Christian ;
Pitschmann, Mario .
PHYSICS OF THE DARK UNIVERSE, 2025, 47