Detecting Quantumness in the $n$-cycle Exclusivity Graphs
Jie Zhou, Hui-Xian Meng, Jing-Ling Chen**
Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071
Abstract ：Quantum contextuality is one kind of quantumness that distinguishes quantum mechanics from classical theory. As the simplest exclusivity graph, quantum contextuality of the $n$-cycle graph has been reviewed, while only for odd $n$ the quantumness can be revealed. Motivated by this, we propose the degree of non-commutativity and the degree of uncertainty to measure the quantumness in the $n$-cycle graphs. As desired, these two measures can detect the quantumness of any $n$-cycle graph when $n\ge 4$.
收稿日期: 2019-05-27
出版日期: 2019-07-22
:
03.65.Ta
(Foundations of quantum mechanics; measurement theory)
03.65.Ud
(Entanglement and quantum nonlocality)
03.67.Mn
(Entanglement measures, witnesses, and other characterizations)
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2019, Vol. 36 
