Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unravelling the large deviation statistics of Markovian open quantum
  systems   We analyse dynamical large deviations of quantum trajectories in Markovian
open quantum systems in their full generality. We derive a {\em 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 {\em 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 unravelled
representation of the quantum dynamics which allows these statistics to be
obtained by analysing a classical stochastic process in the space of pure
states. For quantum reset processes we show that the unravelled dynamics is
semi-Markov, and derive bounds on the asymptotic variance of the number of
quantum jumps which generalise classical thermodynamic uncertainty relations.
We finish by discussing how our level-2.5 approach can be used to study large
deviations of non-linear functions of the state such as measures of
entanglement.

28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin