  It is often claimed that one cannot locate a notion of causation in
fundamental physical theories. The reason most commonly given is that the
dynamics of those theories do not support any distinction between the past and
the future, and this vitiates any attempt to locate a notion of causal
asymmetry -- and thus of causation -- in fundamental physical theories. I argue
that this is incorrect: the ubiquitous generation of entanglement between
quantum systems grounds a relevant asymmetry in the dynamical evolution of
quantum systems. I show that by exploiting a connection between the amount of
entanglement in a quantum state and the algorithmic complexity of that state,
one can use recently developed tools for causal inference to identify a causal
asymmetry -- and a notion of causation -- in the dynamical evolution of quantum
systems. https://doi.org/10.1007/s10701-022-00562-0
