Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum tensor product structures are observable-induced   It is argued that the partition of a quantum system into subsystems is
dictated by the set of operationally accessible interactions and measurements.
The emergence of a multi-partite tensor product structure of the state-space
and the associated notion of quantum entanglement are then relative and
observable-induced. We develop a general algebraic framework aimed to formalize
this concept. We discuss several cases relevant to quantum information
processing and decoherence control.

3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin