Diablo III Won't Feature Cross-Platform Play

One of the more exciting prospects to come out of Blizzard's announcement that Diablo III was headed to the PlayStation 3 and 4 was the potential that could exist if the soon-to-be-expanded, PvP-featuring version of the action RPG could be enjoyed by gaming friends on both the PC and PlayStation simultaneously. Unfortunately, that won't be the case, nor will the possibility of playing the game with a gamepad on PC or with a keyboard and mouse on a console:
While we think cross-platform play would be awesome, there are currently no plans to allow connectivity between PlayStation Network and Battle.net (this is pretty standard for most games that have PC and console support). As a result, the characters on your Battle.net account and PlayStation account will also remain separate.

In terms of allowing an analog controller hookup for the PC, we don't have any plans for that kind of support right now. Similarly, since Diablo III for console was designed with a controller in mind, the PlayStation version of Diablo III will not support USB mice or keyboards.