  Verification and characterisation of quantum states are crucial for the
implementation of quantum information processing, especially for many-body
systems such as cluster states in optical lattices. In theory, it is simple to
estimate the distance of a state with a target cluster state by measurement of
a set of suitable stabilizer operators. However, experimental non-idealities
can lead to complications, in particular cross-talk in single site addressing
and measurement. By making a suitable choice of stabilizer operator sets we may
be able to reduce, but not eliminate, these cross-talk errors. The degree of
cross-talk mitigation depends on the geometry of the cluster state and subsets
of cross-talk free stabilizers can be generated for certain shapes using a
simple algorithm.
