“…For entanglement quantification [17], there are entanglement entropy [18,19], the relative entropy of entanglement [20,21] and robustness of entanglement [2,5,6]. Building upon these foundations, as significant quantum states widely used [22,23] in the field of quantum information, the robustness of entanglement for both pure W states and pure Greenberger-Horne-Zeilinger(GHZ) states has been comprehensively studied [24][25][26]. However, a pure state will become a mixed state in the decoherence environment.…”