Entanglement dynamics in Markovian open systems: a diffusive quantum trajectories approach

Recently, a dynamical characterization of entanglement through the continuous observation of a quantum system evolving under incoherent coupling to an environment has been proposed. In this contribution we further explore these ideas by means of diffusive quantum trajectories to describe the conditional quantum evolution of the system. It is shown that an optimal measurement scheme on the environment can be found, for which the entanglement of the time evolved, mixed state is given by the average entanglement over the pure state decomposition generated by this optimal unraveling of the master equation. For the cases studied, the optimal measurement scheme is time independent, rendering the method to be a computationally efficient tool for the study of entanglement dynamics in Markovian open systems