  Causal discovery algorithms allow for the inference of causal structures from
probabilistic relations of random variables. A natural field for the
application of this tool is quantum mechanics, where a long-standing debate
about the role of causality in the theory has flourished since its early days.
In this paper, a causal discovery algorithm is applied in the search for causal
models to describe a quantum version of Wheeler's delayed-choice experiment.
The outputs explicitly show the restrictions for the introduction of classical
concepts in this system. The exclusion of models with two hidden variables is
one of them. A consequence of such a constraint is the impossibility to
construct a causal model that avoids superluminal causation and assumes an
objective view of the wave and particle properties simultaneously.
