I am not very knowledgeable in quantum studies, but for those interested like me, here is a fantastic documentary on quantum physics/mechanics and its peculiarities. It leads to lots of questions to chew over.
Are there parallel universes?
Do things at a quantum level really have random qualities?
How does God fit in with these discoveries?
Does He or can He use a form of "randomness" in the workings of His creation?
If He doesn't use randomness, then what are the alternatives?
Personally, I am with Einstein :) ... everything has an explanation, random probably does not exist. I cannot venture very far in my mind to even conceive the possibility of randomness, and it would be incredibly vexing to comprehend how or why God would use methods that are out of His control in order to run nature. But I might be wrong.
BTW when I talk about "random" I mean "absolutely" random, not incalculable complexity.
All thoughts welcome, except for those comments that are too far above our human intellects for us to even begin to cognize :)