I think Bartolini also makes active pickups, but only exclusively for Pedulla.
From their website:
"In conjunction with Bill Bartolini, we designed our own proprietary tone shaping circuits (exclusive to the Pedulla Thunderbass and Thunderbolt) to work with two active Bartolini soapbar pickups."
I personally own an Ibanez SR800 with active P/J pickups. I don't know who made these pickups but I can't imagine Ibanez going through the trouble of designing and producing these for only a limited line-up. Some said these sound just like EMG's, so they might very well be EMG's with another label.
As a side note, I ditched the preamp on it and instead added a lowpass and highpass filter. Turning these gives the sound either a full hifi tone or a passive bass kind of tone (or anything in between).