Quantum entropy under spontaneously generated coherence (SGC) was modeled and studied in a double quantum dot (DQD) structure. This system becomes after including the wetting layer (WL) as a ladder-plus-Y- system. The results show that the high probe field under high SGC can give good entanglement between states of the DQD system. Under the high SGC component, the optical pump was more efficient than the probe signal in increasing entanglement. The application of optical fields into WL reduces quantum entropy.