They don't admit but they believe in a inanimate soul after death. A kind of backup survives death and keep frozen like an embryo. They say this frozen backup are in Jehovah's memory.
The most bizarre thing it's not to realize you are a clone if you are ressurected. But in JW worldview it's allowed to Jehovah make a clone of yourself even when you're alive.
This doctrine is absolute nonsense if you want to be "bible based".
But in real life I think our minds (and everything else) can be in some way stored in the spacetime matrix. If we could use quantum entanglement to particles in the past that once formed the pattern of our brains I think we could copy any brain\mind ever existed.