I must admit, I'm also very skeptical. To me, the rational soul is of an untestable substance, like the angels. Unless one can find the quantum essence of angels, I'm inclined to call baloney on this.
Our intelligence is binatured, of material brain, which has the capacity to hold the other nature of our intelligence, what the Scriptures call the Image of God. As our brains are allowed to grow and become more complex, the Image also grows into the Likeness of God, and becomes more radiant. When a person loses blood or life to the brain, the same wiring is there, but the body has no soul anymore. That machinery, that "spiritual electricity" is no longer present. A [poor] analogy would be a grid of electric wires, but no power running through it. Or a hard drive with saved data, but shut down.
What quantum theories seem to do is form a more pantheistic existence, that when I die, I disintegrate and become one with the world, or that I mingle with "the One". I think it's better to consider that this "soul" we have is most probably made untestable, but of course not as "untestable" as God. For we can test out spirituality as grow closer to God. God reveals Himself to us so long as we continue in our spiritual exercises when seeking Him and being in His communion. It is then that we know that the soul can be illumined, the flesh in turn may be filled with grace, and that we prove God exists by showing how He exists in our souls, not by quantum mechanics, but by unity of our soul with the divine.