That's not quite right. I'm not sure where you got the part about p-zombies. What happens is everyone that is alive is alive in your world. However, your consciousness cannot flow to a universe in which you are dead because you cannot experience death (I'm not sure why). So any time you could have died, your consciousness flows into the universe where by some matter of quantum mechanics, you survive. However, in some of these worlds, people around you may die. You cannot experience your own death, so their consciousness will flow into another universe, and they will be dead in yours, but they will be in another universe.

Personally, I think the whole thing sounds like a load of crap. One of the sites I read asked what happened in the event that there is no possible outcome where you survive. I.e. you purposefully drive a submarine that is only rated for a couple thousand feet of water to the bottom of the Mariana Trench (it's going to collapse). Is it possible for your consciousness to move backwards in time to come back to a time that is before a deterministic event that your consciousness experienced? Can your consciousness "see into the future" to know not to allow you to get in the sub in the first place? Everything is going to be fine for hours and hours, for trillions upon trillions of divergent quantum reactions, until it's not, at which point you will be crushed to death. The point at which you die won't even be when the submarine gets crushed, it will be milliseconds after that when the water hits you. So at that point in time, you are several thousand feet under the surface of the water, with milliseconds left to live, and no quantum actions can save you. Can your consciousness go back to right before the sub gets crushed and take a universe where you go back up instead of further down? Or is it aware beforehand not to go to that universe?