Possibility, Probability and Entanglement: Non-contextuality in modal quantum mechanics

被引：0

作者：

Westmoreland, Michael D. ^{[1
]}

Schumacher, Benjamin ^{[2
]}

机构：

[1] Denison Univ, Dept Math & Comp Sci, Granville, OH 43023 USA

[2] Kenyon Coll, Dept Phys, Gambier, OH USA

来源：

FOUNDATIONS OF PROBABILITY AND PHYSICS - 6 | 2012年 / 1424卷

关键词：

quantum mechanics; entanglement; non-contextuality;

D O I：

10.1063/1.3688989

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Modal quantum theory (MQT) is a simplified cousin of ordinary Hilbert space quantum theory. We show that two important theorems of actual quantum theory, the Kochen-Specker theorem excluding non-contextual hidden variables and the Conway-Kochen "free will theorem" about entangled systems, have direct analogues in MQT. The structure of possible measurement results for an entangled system in MQT cannot be represented by probability assignments satisfying the no-signaling principle, such as those given by ordinary quantum theory.

引用

页数：5