  The Pauli groups are ubiquitous in quantum information theory because of
their usefulness in describing quantum states and operations and their readily
understood symmetry properties. In addition, the most well-understood quantum
error correcting codes -- stabilizer codes -- are built using Pauli operators.
The eigenstates of these operators -- stabilizer states -- display a structure
(e.g., mutual orthogonality relationships) that has made them useful in
examples of multi-qubit non-locality and contextuality. Here, we apply the
graph-theoretical contextuality formalism of Cabello, Severini and Winter to
sets of stabilizer states, with particular attention to the effect of
generalizing two-level qubit systems to odd prime d-level qudit systems. While
state-independent contextuality using two-qubit states does not generalize to
qudits, we show explicitly how state-dependent contextuality associated with a
Bell inequality does generalize. Along the way we note various structural
properties of stabilizer states, with respect to their orthogonality
relationships, which may be of independent interest.
