Table 1 The threshold time \(T_{\textrm th}\) for selected constraints and the corresponding fidelity \({\mathbb {F}}\) at the total evolution time \(T=T_{\textrm th}\) using QOC and using adiabatic ramping (adia.).
From: State preparation in a Jaynes-Cummings lattice with quantum optimal control
Constraints | \(T_{\textrm th}\) | \({\mathbb {F}}\) (QOC) | \({\mathbb {F}}\) (adia.) |
|---|---|---|---|
\(J_{\textrm max}=1, g_{\textrm max}=1\) | \(5.27\pi\) | 0.9944 | 0.6610 |
\(J_{\textrm max}=1, g_{\textrm max}=2\) | \(3.30\pi\) | 0.9932 | 0.4213 |
\(J_{\textrm max}=1, g_{\textrm max}=4\) | \(2.23\pi\) | 0.9963 | 0.3995 |
\(J_{\textrm max}=2, g_{\textrm max}=1\) | \(5.27\pi\) | 0.9944 | 0.6610 |
\(J_{\textrm max}=2, g_{\textrm max}=2\) | \(3.28\pi\) | 0.9927 | 0.4223 |
\(J_{\textrm max}=2, g_{\textrm max}=4\) | \(1.96\pi\) | 0.9954 | 0.3276 |
\(J_{\textrm max}=4, g_{\textrm max}=1\) | \(5.28\pi\) | 0.9925 | 0.6626 |
\(J_{\textrm max}=4, g_{\textrm max}=2\) | \(3.28\pi\) | 0.9927 | 0.4223 |
\(J_{\textrm max}=4, g_{\textrm max}=4\) | \(1.90\pi\) | 0.9904 | 0.3001 |
