# Consequences of $BQP \subseteq P/poly$?

While Adleman's theorem shows, that $\mathsf{BPP} \subseteq \mathsf{P}/\text{poly}$, I'm not aware of any literature investigating the possible inclusion of $\mathsf{BQP} \subseteq \mathsf{P}/\text{poly}$. What complexity-theoretic consequences would such an inclusion have?

Adleman's theorem is sometimes called "the progenitor of derandomization arguments." $\mathsf{BPP}$ is believed to be derandomizable, whereas there is no evidence that the "quantumness" of $\mathsf{BQP}$ could somehow be removed. Is this possible evidence that $\mathsf{BQP}$ is unlikely to be in $\mathsf{P}/\text{poly}$ ?

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