Some physicists are interested in quantum logic – that is very much a minority taste within the physics community though. Like interpretations of quantum physics in general, it straddles the boundary between physics and philosophy. (But unlike some more purely philosophical interpretations, it does have some mathematical meat to it.)
For example: https://www.jstor.org/stable/1968621 And: https://en.wikipedia.org/wiki/The_Logic_of_Modern_Physics
But given that the first is from 1936 and the second from 1927, maybe that's out of fashion.