Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations for quantum Markov semigroups on the 2 x 2 matrix
  algebra   Let $({\mathcal{T}}_{*t})$ be a predual quantum Markov semigroup acting on
the full 2 x 2 matrix algebra and having an absorbing pure state. We prove that
for any initial state $\omega$, the net of orthogonal measures representing the
net of states $({\mathcal{T}}_{*t}(\omega))$ satisfies a large deviation
principle in the pure state space, with a rate function given in terms of the
generator, and which does not depend on $\omega$. This implies that
$({\mathcal{T}}_{*t}(\omega))$ is faithful for all $t$ large enough. Examples
arising in weak coupling limit are studied.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph