Figure (right) shows the trajectory-based indicator of coherence between the states S 0 /S 1 (top panel), S 1 /S 2 (middle panel) and S 0 /S 2 (bottom panel) as function of time, as well as the quantum-mechanical analogous quantity scaled down two and three times, respectively, to superimpose the plots to the trajectory-based results. It is not surprising that quantitative agreement with the reference is missing throughout the trajectory-based results, which is probably consequence of the disagreement in the predictions of the electronic populations (see Appendix B for the relation between the indicator of coherence and the populations). The S 0 /S 1 indicator represented in black in the top right panel of Fig. increases without reaching a plateau within the simulated time, which is due to the fact that the ground state population keeps increasing in the region where the S 0 and S 1 wavepackets overlap. Therefore, only Ehrenfest is able to capture qualitatively this coherent behavior, where the other methodologies induce a fictitious decoherence behavior, which is the largest in TSHED and CTMQC-E (at least towards the end of the simulation). We observe also that the decrease of the ground state population observed in CTMQC-E at 48 fs is also reflected in a decrease in the electronic coherences. The exact S 1 /S 2 indicator (black curve in the middle right panel of Fig. ) is non-zero already at the initial time, proving that the state S 1 transfers population to S 2 since the beginning of the simulated dynamics. The offset for the transfer is delayed in the trajectory-based calculations, but the increase of the indicator (colored curves in the middle right panel of Fig. ) takes place in the first few femtoseconds of dynamics. Even though quantitative agreement is missing, the S 1 /S 2 indicator remains more or less constant during the dynamics with large oscillations at the beginning. This behavior is qualitatively captured only by the coupled-trajectory methods. In the case of the S 0 /S 2 indicator shown in the bottom panel on the right of Fig. , quantitative agreement between CTMQC(-E) and exact results is achieved at long times, with Ehrenfest remaining overcoherent all along the dynamics (as for S 1 /S 2 ).