It is as I suspected: open theists have recruited ideas drawn from quantum physics to support their view that indeterminacy is built into the deep structure of the universe, and that the future is unknowable in all its details, even to God.
From what I had read and heard, I expected the noted scientist/theologian John Polkinghorne would take such a view, and I now find this to be the case. Open theist Greg Boyd has an article on Scientific Support for the Open View, and quotes Polkinghorne (in Science and Providence) as saying that notions of indeterminacy in physics
…emphasize how different time is from space [and] how seriously we must take its unfolding as a process of genuine becoming. The future is not already formed ahead of us, waiting to reveal itself to our exploration, as the fixed contours of a valley reveal themselves to the traveler who makes his ways through them. The future is in part our creation: its shape is responsive to our molding, as the clay is formed by the sculptor to create his irreducibly new thing, which is his work of art. If even the omnipotent God cannot act to change the past, it does not seem any more conceivable that the omniscient God can know with certainty the unformed future.
Boyd suggests that the distinction between the past, present and future should be regarded as real and not illusory, as is the distinction between ‘the past as a realm of definite realities and the future as a realm of indefinite probabilities.’
Two quick comments by way of response: (a) we should (as I’m sure Boyd would agree) derive our theology from Scripture, not from scientific theory; (b) I am not prepared to give up my commitment to the sovereignty of God unless and until I see clear evidence from the revealed word of God. I’m prepared to concede that there are certain things that even God cannot do, not because his power is limited, but because the things proposed are nonsense (so, as the Puritans would say, God cannot die, lie, or deny himself), but I’m not at all convinced that knowing and controlling the future belong in this category.