I was watching Fay Dowker's "Spacetime and the quantum: united by history" on Youtube, and a question occurred to me. She has the unique ability to combine enough detail with a popularized version to accurately portray some of the big, current issues facing physics. The question is: Would gravity waves exhibit quantum properties? Given that experiments have not detected gravity waves directly, I am guessing that at this point the question would have to be answered theoretically. I wouldn't even know how those quantum properties would manifest themselves or what an experiment to test such a thing would look like. Has anyone done any research or exploration on this question?