Update: See: Global Consciousness Project.
Einstein said ‘God does not play dice’, but could it be that God is the only source of truly random information. This would mean that the randomness of quantum mechanics is from God’s perspective non-random. God’s primary means of intervening could be in the quantum world. In Objective-collapse theory a source of randomness is used to drive wave collapse, so this means that God solves the measurement problem in quantum mechanics. This would make God that which is correlated with everything. The best way of exploring these ideas is probably with a quantum computer.