I know a little about quantum physics. Under any interpretation of quantum theory equivalent to the standard ones, this won't work without woo.
My account of the paper's argument is likely to be quite inaccurate and incomplete, so it's best to aim critiques at the paper itself. Does Bohmian interpretation count as one of the standard ones?
As far as I can tell, the conservation of algorithmic information was the big speculative thing in the paper. It's not ontologically basic woo, as in mental intentions irreducible to basic physics, but I"m guessing it's not standard QM either.
Ben Goertzel has a rather long psi-related article in Humanity Plus Magazine, apparently prompted by the recent precognition study to be published in Journal of Personality and Social Psychology. He's arguing that psi is real and we should expect to see the results of this study replicated.