  The maximum rates for information transmission through noisy quantum channels
has primarily been developed for memoryless channels, where the noise on each
transmitted state is treated as independent. Many real world communication
channels experience noise which is modelled better by errors that are
correlated between separate channel uses. In this paper, upper bounds on the
classical information capacities of a class of quantum memory channels are
derived. The class of channels consists of indecomposable quantum memory
channels, a generalization of classical indecomposable finite-state channels.
