do children have a right to privacy?

I've been meaning to revisit this discussion and thought we might start it up again by asking you for your reactions to this.

In particular, I am curious to know if any ideas or feelings come up with regards the concept of privacy and what the notion of privacy means between parent and child.  In short, do our children have a right to privacy even, perhaps especially, in regards to their parents?

I have been thinking quite a bit about this whole idea - I think coming up against it is what caused my recent bout of blog paralysis - and will share my ideas tomorrow.  But first, what do you think?