@article { , title = {Unraveling the large deviation statistics of Markovian open quantum systems}, abstract = {We analyze dynamical large deviations of quantum trajectories in Markovian open quantum systems in their full generality. We derive a quantum level-2.5 large deviation principle for these systems, which describes the joint fluctuations of time-averaged quantum jump rates and of the time-averaged quantum state for long times. Like its level-2.5 counterpart for classical continuous-time Markov chains (which it contains as a special case), this description is both explicit and complete, as the statistics of arbitrary time-extensive dynamical observables can be obtained by contraction from the explicit level-2.5 rate functional we derive. Our approach uses an unraveled representation of the quantum dynamics which allows these statistics to be obtained by analyzing a classical stochastic process in the space of pure states. For quantum reset processes we show that the unraveled dynamics is semi-Markovian and derive bounds on the asymptotic variance of the number of quantum jumps which generalize classical thermodynamic uncertainty relations. We finish by discussing how our level-2.5 approach can be used to study large deviations of nonlinear functions of the state, such as measures of entanglement.}, doi = {10.1103/physrevlett.122.130605}, eissn = {1079-7114}, issn = {0031-9007}, issue = {13}, journal = {Physical Review Letters}, publicationstatus = {Published}, publisher = {American Physical Society}, url = {https://nottingham-repository.worktribe.com/output/1849798}, volume = {122}, keyword = {General Physics and Astronomy}, year = {2019}, author = {Carollo, Federico and Jack, Robert L. and Garrahan, Juan P.} }