Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moving quantum agents in a finite environment   We investigate an all-quantum-mechanical spin network, in which a subset of
spins, the $K$ ``moving agents'', are subject to local and pair unitary
transformations controlled by their position with respect to a fixed ring of
$M$ ``environmental''-spins. We demonstrate that a ``flow of coherence''
results between the various subsystems. Despite entanglement between the agents
and between agent and environment, local (non-linear) invariants may persist,
which then show up as fascinating patterns in each agent's Bloch-sphere. Such
patterns disappear, though, if the agents are controlled by different rules.
Geometric aspects thus help to understand the interplay between entanglement
and decoherence.

27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph