In Mormon Belief: People Were Raised from the Dead (not a resurrection) I discussed the LDS belief that Jesus raised Lazarus from the dead, that is, brought him back to life after he had died. Lazarus was not resurrected, only brought back to life. I also mentioned that Jesus gave the power to His disciples to raise others from the dead. In Darwin’s Surprise I linked to an article explaining that scientists have succeeded in activating extinct viruses. Because a virus is a simple entity while a person is a complex organism, scientists still have a long way to go before they might be able to restore life to a dead person. But, activating an extinct virus is an amazing feat!
I've been thinking about bringing a dead person back to life. I don't understand very well the differences between a living person and a dead person, but the scriptures do give a partial idea from the religious paradigm of what would have to happen to have a dead person brought back to life. First, in Mormon Belief: Two Creations of the Earth I explained that before the earth was created physically, it was created spiritually in Heaven. I think of the spiritual creati0n being a blueprint for the physical creation. Second, in Mormon Belief: Spirit Offspring of God I explained that from a religious viewpoint, the basic difference between a person and an animal is that the person is a combination of a physical body and a spirit body, the spirit body being an offspring of God, while an animal has no spirit offspring of God. These two requirements would have to be met to have a person raised from the dead.
The first requirement is automatically satisfied, I think, because the dead person was once a living person and thus has a spiritual counterpart or blueprint. The second part would be satisfied if God "assigned" or permitted His spirit offspring to re-enter the physical body in such a way that the combination was once again a living soul (see Mormon Belief: The Soul is the Combination of a Spirit & a Body).
Will scientists ever be able to bring people back from the dead. This is just a guess, but I would say "probably", if God allows His spirit offspring to reenter the body.