  Correlations between a system and its environment lead to errors in an open
quantum system. Detecting those correlations would be valuable for avoiding
and/or correcting those errors. Here we show that we can detect correlations by
only measuring the system itself if we know the cause of the interaction
between the two, for example in the case of a dipole-dipole interaction. We
investigate the unitary $U$ which is associated with the exchange Hamiltonian
and examine the ability to detect initial correlations between a system and its
environment for various types of initial states. The states we select are
motivated by realistic experimental conditions and we provide bounds for when
we can state with certainty that there are initial system-environment
correlations given experimental data.
