It was announced at the Call of Duty XP event that Jackal Assault is the name of the PlayStation VR title. This VR experience will be available for free if you own Infinite Warfare.
If you buy Infinite Warfare on PS4, the Jackal Assault game is offered for free as a download. You will just need the PlayStation VR headset in order to play it. The VR game allows you to take control of a Jackal spaceship as you take down enemies up in space.
Infinite Warfare will be out this November. It sounds like this VR experience will be exclusive only to the PS4.