Sony has confirmed that current Bluetooth headsets cannot be used for PS4 voice chat, while even official PULSE headsets will require a post-launch patch before they actually work.
Game Informer got the scoop from a Sony representative, who confirmed that all current Bluetooth headsets are incompatible with the PS4. Sony's own PULSE headsets won't work at all at launch, pending a firmware update, while most USB headsets will also be useless until a patch is released down the line. Digital optical headsets will function for audio, but not for chat.
It's tempting to suggest that this move is a bit of a transparent cash grab, but at least a mono headset is included with all new consoles. The Xbox One is taking a similar tack, with Microsoft also promising to look into third-party headset support.