  We derive a general scheme to obtain quantum fluctuation relations for
dynamical observables in open quantum systems. For concreteness we consider
Markovian non-unitary dynamics that is unraveled in terms of quantum jump
trajectories, and exploit techniques from the theory of large deviations like
the tilted ensemble and the Doob transform. Our results here generalise to open
quantum systems fluctuation relations previously obtained for classical
Markovian systems, and add to the vast literature on fluctuation relations in
the quantum domain, but without resorting to the standard two-point measurement
scheme. We illustrate our findings with three examples in order to highlight
and discuss the main features of our general result.
