Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Coarse-Graining, Symmetries and Reducibility of Dynamics   The common idea behind complexity reduction in physical systems is separation
of information into "physically meaningful" and "safely ignorable". Here we
consider a generic notion of such separation -- implemented by coarse-graining
the state-space -- and address the question of what information is indeed
safely ignorable if we want to reduce the complexity of dynamics. The general
condition for reducibility of dynamics under coarse-graining will be presented
for stochastic and quantum systems. In the process we develop the quantum
notion of state-space coarse-graining that allows to marginalize selected
degrees of freedom. One of our main findings is that there is a broader class
of symmetries, beyond those that are considered by Noether's Theorem, that can
play a role in the reduction of dynamics. Some examples of quantum
coarse-grainings and the reduction of dynamics with symmetries will be
discussed.

25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin