GALOIS FIELD QUANTUM MECHANICS

被引:12
|
作者
Chang, Lay Nam [1 ]
Lewis, Zachary [1 ]
Minic, Djordje [1 ]
Takeuchi, Tatsu [1 ]
机构
[1] Virginia Tech, Dept Phys, Blacksburg, VA 24061 USA
来源
MODERN PHYSICS LETTERS B | 2013年 / 27卷 / 10期
关键词
Quantum mechanics; Galois field; Bell's inequality; Clauser-Horne-Shimony-Holt bound; FINITE HILBERT-SPACE; INEQUALITIES; NONLOCALITY; SYSTEMS;
D O I
10.1142/S0217984913500644
中图分类号
O59 [应用物理学];
学科分类号
摘要
We construct a discrete quantum mechanics (QM) using a vector space over the Galois field GF(q). We find that the correlations in our model do not violate the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequality, despite the fact that the predictions of this discrete QM cannot be reproduced with any hidden variable theory.
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页数:10
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