Entropic Test of Quantum Contextuality

被引：59

作者：

Kurzynski, P. ^{[1
,2
]}

Ramanathan, R. ^{[1
]}

Kaszlikowski, D. ^{[1
,3
]}

机构：

[1] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore

[2] Adam Mickiewicz Univ, Fac Phys, PL-61614 Poznan, Poland

[3] Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 109卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

BELL INEQUALITIES; HIDDEN-VARIABLES; INFORMATION; MECHANICS;

D O I：

10.1103/PhysRevLett.109.020404

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the contextuality of a three-level quantum system using classical conditional entropy of measurement outcomes. First, we analytically construct the minimal configuration of measurements required to reveal contextuality. Next, an entropic contextual inequality is formulated, analogous to the entropic Bell inequalities derived by Braunstein and Caves [Phys. Rev. Lett. 61, 662 (1988)], that must be satisfied by all noncontextual theories. We find optimal measurements for violation of this inequality. The approach is easily extendable to higher dimensional quantum systems and more measurements. Our theoretical findings can be verified in the laboratory with current technology.

引用

页数：5

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