Quantum Mechanics cannot prove God, as others have posited. However, nothing about quantum mechanics is inconsistent with God.
I’ve studied the subject myself (I have a degree in physics, only a BS, but I also grew up around it as I came from a family of scientists, so I have a good perspective on the subject).
I would posit that quantum mechanics does not so much prove God, but rather is a strong indicator of the existence free will. The inherent randomness of the universe; and indeed the complexity of “empty” space, seems to contraindicate a deterministic universe. In other words, even if you knew all of the initial conditions of the universe to the limits of the Heisenberg uncertainty principle, you could not predict the result we see today. We might make probablistic evaluations of likely results based on chaos theory, but you cannot deterministically predict the result to the same level of certainty you started with.
If the universe is not deterministic, then it is possible that we have free will. Indeed, free will seems the most likely result for a being capable of abstract thought since his or her though processes are not determinisitic.
It’s not a proof of free will, really, but the coincidence is more than a little convenient to me.
Ultimately, God cannot be
proved, in the sense that none may dispute His existence, because the only way that humans have to eliminate all
reasonable dispute on a matter is to make a measurement using a physical tool that both can be understood and agreed upon. (This is positivistic science, in fact.) You cannot measure God with a physical tool, and therefore cannot positivistically prove Him to exist.
You
can make some rather reasonable arguments - pointers - that He does exist and that He is the Blessed Trinity. My favorite is first cause followed by the logical claims of Jesus as being God, though I’ve never met an atheist that bought that argument.

Most atheists respond to first cause by saying something like, “sure - but that god could be Zeus,” and my retort is that only Jesus claimed to be God, so if He was then that is the correct understanding of God, that Jesus claim is believable because of X,Y,Z - and so and so forth. However, no matter how you formulate the arguments, they are subject to being rejected because they cannot be positivistically proven.
People like to hold onto their dearly held beliefs, even if they are positivistically proven as being wrong. How much harder is it to convince someone a positivistically unprovable belief is wrong?
Ultimately it is the Holy Spirit that converts hearts, not us.