  Causal modelling provides a powerful set of tools for identifying causal
structure from observed correlations. It is well known that such techniques
fail for quantum systems, unless one introduces `spooky' hidden mechanisms.
Whether one can produce a genuinely quantum framework in order to discover
causal structure remains an open question. Here we introduce a new framework
for quantum causal modelling that allows for the discovery of causal structure.
We define quantum analogues for many of the core features of classical causal
modelling techniques, including the Causal Markov Condition and Faithfulness.
Based on the process matrix formalism, this framework naturally extends to
generalised structures with indefinite causal order.
