Outside of quantum effects, which I don’t think it important for sentience, the universe is also deterministic. You have no control over particle interactions, chemical reactions and electric fields, yet we feel.
People always ask if the brain is a computer, decide it is not, and come to the conclusion that sentience would not work on a computer. I think the universe is the computer / algorithm and the brain is the data being fed into it, which leads me to say consciousness can exist digitally.