Figure 3
From: Physical interpretation of nonlocal quantum correlation through local description of subsystems

Theoretical and experimental characterizations of (a) entanglement, (b) steerability, and (c) Bell nonlocality for the bipartite Werner state. The \(\text {LHS}_i^n\), \(i=1,2,3\) and \(n=2,3\), refers to different LHS models in the three scenarios, see the derived local uncertainty relations of (3–5). All experiments were implemented on an integrated silicon-photonics quantum device. Points denote experimental data and lines denote theoretical prediction: circular and square points are for \(n=3\) and \(n=2\) measurement settings; blue and black lines are for \(n=3\) and \(n=2\) measurement, respectively. Red shaded (black dotted) regime in (a–c) identifies the p mixing parameter of the Werner state \(\rho _W\), above which the state is certified as entanglement, steerable, and Bell nonlocal, for \(n=3\) (\(n=2\)) measurement settings, respectively. Horizontal dashed lines are plotted for the guidance the achievable upper bound of the inequality value, \({\mathcal {F}}^n_k\). Note error bars (\(\pm \sigma\)) estimated from 20 sets of data are too small to be invisible in the plot.