Continuity of the robustness of contextuality of empirical models

Recently, the robustness of contextuality（RoC） of an empirical model was discussed in [Sci. China-Phys. Mech. Astron. 59,640303（2016）], many important properties of the RoC have been proved except for its boundedness and continuity. The aim of this paper is to find an upper bound for the RoC over al...

Full description

Saved in:
Bibliographic Details
Published in:Science China. Physics, mechanics & astronomy mechanics & astronomy, 2016-10, Vol.59 (10), p.11-18, Article 100311
Main Authors: Meng, HuiXian, Cao, HuaiXin, Wang, WenHua, Chen, Liang, Fan, Yajing
Format: Article
Language:English
Subjects:
Astronomy
Classical and Continuum Physics
Continuity (mathematics)
Mathematical models
Observations and Techniques
Physics
Physics and Astronomy
Robustness
Upper bounds
性周期
有界性
经验模型
证明
语境
连续函数
连续性
鲁棒性
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Recently, the robustness of contextuality（RoC） of an empirical model was discussed in [Sci. China-Phys. Mech. Astron. 59,640303（2016）], many important properties of the RoC have been proved except for its boundedness and continuity. The aim of this paper is to find an upper bound for the RoC over all of empirical models and prove that the RoC is a continuous function on the set of all empirical models. Lastly, a relationship between the RoC and the extent of violating the noncontextual inequalities is established for an n-cycle contextual box. This relationship implies that the RoC can be used to quantify the contextuality of n-cycle boxes.
ISSN:1674-7348
1869-1927
DOI:10.1007/s11433-016-0210-2