Is there a way I can connect my Xperia Z3 to my PS3 so I can use it as a portable keyboard?

[AC Question]

If anyone has used Airmouse for the PC, I'm referring to a similar type of thing, allowing me to type using my phone keyboard rather than the PS3 controller. It's really a small detail, but cross-device Sony Connectivity seems to be very good in that respect.

Just a thought, thanks