  We study the dynamics of quantum systems interacting with a stream of
entangled qubits. Under fairly general conditions, we present a detailed
framework describing the conditional dynamical maps for the system, called
quantum trajectories, when the qubits are measured. Depending on the
measurement basis, these quantum trajectories can be jump-type or
diffusive-type, and they can exhibit features not present with quantum optical
and single-qubit trajectories. As an example, we consider the case of two
remote atoms, where jump-type quantum trajectories herald the birth and death
of entanglement.
