| GENERAL |
|
|
|
|
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
|
|
| Cite this article: |
|
Jie Zhou, Hui-Xian Meng, Jing-Ling Chen 2019 Chin. Phys. Lett. 36 080304 |
|
|
|
|
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 $n\ge 4$.
|
|
|
Received: 27 May 2019
Published: 22 July 2019
|
|
| PACS: |
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)
|
|
|
| Fund: Supported by the Nankai Zhide Foundation, the National Science Foundation for Post-doctoral Scientists of China under Grant No 2018M631726, the National Natural Science Foundation of China under Grant No 11875167, and the Fundamental Research Funds for the Central Universities under Grant No 63191507. |
|
|
|
| [1] | Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865 | | [2] | Brunner N, Cavalcanti D, Pironio S, Scarani V and Wehner S 2014 Rev. Mod. Phys. 86 419 | | [3] | Wiseman H M, Jones S J and Doherty A C 2007 Phys. Rev. Lett. 98 140402 | | [4] | Kochen S and Specker E P 1967 J. Math. Mech. 17 59 | | [5] | Larsson J Å 2002 Europhys. Lett. 58 799 | | [6] | Kleinmann M, Budroni C, Larsson J Å, Gühne O and Cabello A 2012 Phys. Rev. Lett. 109 250402 | | [7] | Araújo M, Quintino M T, Budroni C, Terra Cunha M and Cabello A 2013 Phys. Rev. A 88 022118 | | [8] | Xiang Y and Hong F Y 2013 Chin. Phys. B 22 110302 | | [9] | Chen X, Su H Y and Chen J L 2016 Chin. Phys. Lett. 33 010302 | | [10] | Zhu F, Zhang W and Huang Y 2017 Chin. Phys. B 26 100302 | | [11] | Cabello A, Severini S and Winter A 2014 Phys. Rev. Lett. 112 040401 | | [12] | Klyachko A A, Can M A, Binicioğlu S and Shumovsky A S 2008 Phys. Rev. Lett. 101 020403 | | [13] | Badzia̧g P, Bengtsson I, Cabello A, Granström H and Larsson J Å 2011 Found. Phys. 41 414 | | [14] | Liang Y C, Spekkens R W and Wiseman H M 2011 Phys. Rep. 506 1 | | [15] | Cabello A, Badzia̧g P, Terra C M and Bourennane M 2013 Phys. Rev. Lett. 111 180404 | | [16] | Amaral B, Terra C M and Cabello A 2015 Phys. Rev. A 92 062125 | | [17] | Heisenberg W 1927 Z. Phys. (German) 43 172 | | [18] | Kennard E H 1927 Z. Phys. (German) 44 326 | | [19] | Robertson H P 1929 Phys. Rev. 34 163 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
