In this thesis, we study quantum transport in microscopic electronic conductors in which quantum effects are visible. This is an interesting field of research where much progress has been made in the last two decades, both experimentally and theoretically. We first focus on entanglement entropy as a way to quantify entanglement in condensed matter systems. After that, we discuss the distribution of waiting times between successive transmission events in a nano-scale conductor. This quantity has been suggested as a means to characterize the short-time physics of a stochastic transport process, complementary to the full counting statistics of transferred charge. Finally, we demonstrate that the coupling to environmental modes in scanning tunneling spectroscopy experiments can have a visible effect in the current characteristic of nano-scale systems.