Activision and Treyarch haven't yet released specific details about a Zombie mode in the game but they have now released four teasers.
According to Amazon, Call of Duty: Black Ops 2 could have a story-driven zombie mode. The retailer suggests Black Ops 2 will have “zombies in gameplay, both as an option in multiplayer, and as a campaign option”. In the previous game, there was only a zombies multiplayer mode. “Campaign” refers to the single-player mode, this could lead to a mission-driven multiplayer, like Spec Ops.