CHSH Correlation Geometry
Assemble a Bell correlation inequality and see how settings and white noise determine violation.
Free theory articleAssemble a Bell correlation inequality and see how settings and white noise determine violation.
Concept & interpretation
The CHSH inequality is a statistical test used to demonstrate quantum entanglement and violation of local hidden-variable theories. In this module, we examine Werner-mixture correlations E(α, β) = -p cos(α - β), combining a singlet fraction p with a white-noise remainder.
Interactive Experiment
You can reproduce this behavior using the CHSH Correlation Geometry module.
- Set the Singlet fraction to exactly
1. - Set the Bob angle degrees to
45. - Observe the four individual correlation components in the output panel.
- Read the resulting CHSH absolute value, which will show roughly
2.8284, indicating a violation. - Try reducing the Singlet fraction to
0.5. Notice that the CHSH value drops below 2, and the system no longer violates the inequality.