“W.G. Pollard  and, more recently, Nancey Murphy advocate that the apparently random events at the quantum level are all specific, intentional acts of God. God's action at this level is limited in that
(1) He respects the integrity of the entities with which He co-operates (e.g., He doesn't change the electron's mass arbitrarily) and
(2) He restricts His action to produce a world that, for all we can tell, is orderly and law-like.
God is the hidden variable. Murphy asserts that this position is not only theologically preferable to indeterminism, but has the further advantage of consistency with the principle of sufficient reason. Of course, if God is directly responsible for quantum events this entails that these are therefore predictable by God. Hence we are left with a deterministic universe, at least at the quantum level.”
“God’s sovereignty rules out the possibility of agents acting independently of Him. In particular, quantum mechanics does not imply ontological indeterminism, given that determinist interpretations of quantum mechanics are possible, that non-physical secondary causes cannot be ruled out and that God is the primary cause for all events.”
-John Byl PhD, “Indeterminacy, Divine action and Human Freedom” 

William Pollard PhD, is a Nuclear Physicist and Episcopal Priest, with a PhD in Physics and Honorary doctorates in science, divinity, law, and humane letters. He is the author of “Chance and Providence: God's Action in a World Governed by Scientific Law”. The entire book is on God operating, instead of “chance”, in quantum mechanics. 

“In the next chapter I will begin the presentation for your consideration of a quite different approach to this problem which seems to me to offer an entirely adequate solution for it. Under it, as we shall attempt to show, there can emerge again in all of its ancient power the fullness of the Biblical response to the living God who is ever active in the whole of His creation sustaining, providing, judging, and redeeming all things, both in heaven and in earth, in accordance with the mysterious and hidden purposes of His might will. At the same time, however, this is accomplished in such a way that the essential integrity and unity of science, both as it is now and as in principle it may become, is fully preserved.”
“To Einstein’s famous question expressing his abhorrence of quantum mechanics, “Does God throw dice?” the Judeo-Christian answer is not, as so many have wrongly supposed, a denial, but a very positive affirmative. For only in a world in which the laws of nature govern events in accordance with the casting of dice can a Biblical view of a world whose history is responsive to God’s will prevail.”
-William Pollard PhD, “Chance and Providence: God's Action in a World Governed by Scientific Law”, pg. 35, pg. 97 

Nancey Murphy PhD, Theologian, is Professor of Christian Philosophy at the Fuller Theological Seminary. She also serves as an editorial advisor for Theology and Science, Theology Today, and Christianity Today. She is the author of “Divine Action In The Natural Order”.

 “The second strategy for giving an account of the locus of divine action explores quantum physics and seeks to give an account of God’s action throughout the natural and human world by means of action at the quantum level (either alone or in conjunction with top-down action). My proposal is motivated theologically. If God is immanent in and acting in all creatures, then necessarily God is acting at the quantum level. Emphasis on this fact has the advantage of sidestepping the problem of interventionism: the laws of quantum mechanics are only statistical and therefore not subject to violation. If, as most interpreters conclude, events at this level are genuinely indeterminate, then there need be no competition between divine action and physical causation. It is possible from a theistic perspective to interpret current physics as saying that the natural world is intrinsically incomplete and open to divine action at its most basic level.”
-Nancey Murphy PhD, Dive Action In The Natural Order, pg. 131 

The Bible may also present an argument of God controlling the “quantum dice” in Col 1:16-17, referring to Jesus Christ,

“For by him were all things created, that are in heaven, and that are in earth, visible and invisible, whether [they be] thrones, or dominions, or principalities, or powers: all things were created by him, and for him: And he is before all things, and by him all things consist.” 

The word here for “consist” is “synistemi” (4921) and it means, “to consist of or be composed of, to cohere, put together, hold together or band together”.

According to physics, it is the subatomic force particles of bosons, and gluons that hold together atoms, and particles like photons and electrons that hold together different atoms. As such, this verse in the Bible could be referring to, that it is by God’s control over the “quantum dice” that makes the observations of quantum mechanics as they are, which is that particles we are composed of Do hold together. As such, by His actions all things hold together or “by Him all things consist”.  

Assuming it is true that God does allow randomness at a quantum level of physics, but also constantly controls the outcome of that randomness, besides “upholding all things”, like the universe, “by the word of His power”, ( as we read in Heb 1:3) is there another possible reason for God creating the universe to be this way? Could it relate to miracles, signs and wonders? It could be. 

Not only does quantum physics allow for existing particles that we can observe in experiment to act in random way, but it also allows for particles and antiparticles (antimatter) to pop in and out of existence, seemingly randomly. These particles usually only exist for a very short time, and are called “virtual particles”. 

“Down at the very tiniest length scale and trillions of times smaller than atoms, is what is known as the Planck scale where the concept of length loses its meaning and quantum uncertainty rules. At this level all known laws of physics break down and even space and time become nebulous concepts. Any and all conceivable distortions of spacetime will be popping in and out of existence in a random and chaotic dance which is going on all the time everywhere in the universe. Terms such as “quantum fluctuations” and the “quantum foam” which are used to describe this chaotic activity certainly do not do it justice.”
-Jim Al-Khalili PhD, Black Holes, Wormholes, and Time Machines, pg. 207
PhD in Theoretical Nuclear Physics, theoretical physicist at the University of Surrey 

The existence of these seemingly random particles does not violate the laws of physics, especially the Law of Conservation of Energy:

“As we saw in Chapter 7, even what we think of as “empty” space is filled with pairs of virtual particles and antiparticles that appear together, move apart, and come back together and annihilate each other. Now, suppose one has two metal plates a short distance apart. The plates will act like mirrors for the virtual photons or particles of light. In fact they will form a cavity between them, a bit like an organ pipe that will resonate only at certain notes. This means that virtual photons can occur in the space between the plates only if their wavelengths (the distance between the crest of one wave and the next) fit a whole number of times into the gap between the plates. If the width of a cavity is a whole number of wavelengths plus a fraction of a wavelength, then after some reflections backward and forward between the plates, the crests of one wave with coincide with the troughs of another and the waves will cancel out.
Because the virtual photons between the plates can have only the resonant wavelengths, there will be slightly fewer of them than in the region outside the plates where virtual photons can have any wavelength. Thus there will be slightly fewer virtual photons hitting the inside surfaces of the plates than the outside surfaces. One would therefore expect a force on the plates, pushing them toward each other. This force has actually been detected and has the predicted value. Thus we have experimental evidence that virtual particles exist and have real effects.”
-Stephen Hawking PhD, The Illustrated Brief History of Time, pgs. 204-206 

Virtual particles can include all types of particles, including photons, electrons, gluons, bosons, and quarks. According to physicists, under certain conditions in the universe, virtual particles can exist for longer periods of time and therefore become “real” particles. This particular example relates to conditions of space near a black hole, but in principle this shows that science does generally allow for the possibility of virtual particles popping into existence and becoming real particles.

“We can understand this in the following way: what we think of as “empty” space cannot be completely empty because that would mean that all the fields, such as the gravitational and electromagnetic fields, would have to be exactly zero. However, the value of a field and its rate of change with time are like the position and velocity of a particle: the uncertainty principle implies that the more accurately one knows one of these quantities, the less accurately one can know the other. So in empty space the field cannot be fixed at exactly zero, because then it would have both a precise value (zero) and a precise rate of change (also zero). There must be a certain minimum amount of uncertainty, or quantum fluctuations, in the value of the field. One can think of these fluctuations as pairs of particle of light or gravity that appear together at some time, move apart, and then come together again and annihilate each other. These particles are virtual particles like carry the gravitational force of the sun: unlike real particles, they cannot be observed directly with a particle detector. However, their indirect effects, such as small changes in the electron orbits in atoms, can be measured and agree with the theoretical predictions to a remarkable degree of accuracy. The uncertainty principle also predicts that there will be similar virtual pairs of matter particles, such as electrons or quarks. In this case, however, one member of the pair will be a particle, and the other an antiparticle (the antiparticles of light and gravity are the same as the particles).
Because energy cannot be created out of nothing, one of the partners in a particle/antiparticle pair will have positive energy, and the other partner negative energy. The one with negative energy is condemned to be a short-lived virtual particle because real particles always have positive energy in normal situations. It must therefore seek out its partner and annihilate with it. However, a real particle close to a massive body has less energy than if it were far away, because it would take energy to lift it far away against the gravitational attraction of the body. Normally, the energy of the particle is still positive, but the gravitational field inside a black hole is so strong that even a real particle can have negative energy there. It is therefore possible, if a black hole is present, for the virtual particle with negative energy to fall into the black hole and become a real particle or antiparticle. In this case it no longer has to annihilate with its partner. Its forsaken partner may fall into the black hole as well. Or, having positive energy, it might also escape from the vicinity of the black hole as a real particle or antiparticle. To an observer at a distance, it will appear to have been emitted from the black hole.”
-Stephen Hawking PhD, The Illustrated Brief History of Time, Pgs. 134-137