\begin{document}$ ({\boldsymbol{k}}, -{\boldsymbol{k}}) $\end{document} pair as a two-mode Gaussian state and show that, in the pure squeezed limit, discord grows rapidly with the squeezing parameter; consequently, low discord thresholds are automatically satisfied for strongly squeezed modes. The nontrivial regime is the mixed state produced by decoherence. Using a Lindblad open-system description, we motivate a Gaussian loss channel for the scalar covariance matrix and distinguish discord from a covariance-survival factor \begin{document}$ Q_{{\rm{dec}}}(k) $\end{document}. If the decoherence channel suppresses the scalar two-point covariance, the PBH abundance can be affected through the classical collapse variance, while the SIGW spectrum is modified more directly by the factors \begin{document}$ Q_{{\rm{dec}}}(ku)Q_{{\rm{dec}}}(kv) $\end{document} within the radiation-era convolution. For a narrow scalar peak and slowly varying \begin{document}$ Q_{{\rm{dec}}} $\end{document}, this yields the benchmark scaling \begin{document}$ \Omega_{{\rm{GW}}}^{{\rm{eff}}}\simeq Q_{{\rm{dec}}}^2\Omega_{{\rm{GW}}}^{{\rm{class}}} $\end{document}. Thus, quantum discord and decoherence provide a controlled way to characterize the quantum-to-classical transition of PBH-producing perturbations, with the clearest imprint appearing in scalar-induced gravitational waves."> Decoherence Effects on Primordial Black Holes and Scalar-Induced Gravitational Waves -
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