  Engineering quantum systems offers great opportunities both technologically
and scientifically for communication, computation, and simulation. The
construction and operation of large scale quantum information devices presents
a grand challenge and a major issue is the effective control of coherent
dynamics. This is often in the presence of decoherence which further
complicates the task of determining the behaviour of the system. Here, we show
how to determine open system Markovian dynamics of a quantum system with
restricted initialisation and partial output state information.
