The quantum interference between entangled neutral kaons from decays $\phi(1020)\rightarrow K_L K_S\rightarrow (\pi^+\pi^-)(\pi^+\pi^-)$ was measured in the KLOE detector at the DA$\Phi$NE electron-positron collider. The shape of the interference pattern exhibits very high sensitivity to possible decoherence of kaons and violation of the fundamental $\mathcal {CPT}$ symmetry. This pattern was analyzed in the $\Delta t$ variable, being the difference of times of kaon decays, using $1.7 \times 10^9$ decays of $\phi^0\rightarrow K_LK_S$ \cite{kloe2022}. Fits of models of decoherence and $\mathcal{CPT}$ violation significantly improve the accuracy of their parameters with respect to earlier measurements \cite{kloe2006}.