What evidences are there that $PP$ is in $BQP$ and $PP$ is not in $BQP$?

Question

Unlike hierarchy collapse arguments for classical complexity we have that quantum complexity is different.

1. What evidences are there that $PP$ is in $BQP$?

2. What evidences are there that $PP$ is not in $BQP$?

Answer 1

Well one piece of evidence against PP being in BQP is that PP contains QMA, which is the NP equivalent of BQP.