Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum entanglement in states generated by bilocal group algebras   Given a finite group G with a bilocal representation, we investigate the
bipartite entanglement in the state constructed from the group algebra of G
acting on a separable reference state. We find an upper bound for the von
Neumann entropy for a bipartition (A,B) of a quantum system and conditions to
saturate it. We show that these states can be interpreted as ground states of
generic Hamiltonians or as the physical states in a quantum gauge theory and
that under specific conditions their geometric entropy satisfies the entropic
area law. If G is a group of spin flips acting on a set of qubits, these states
are locally equivalent to 2-colorable (i.e., bipartite) graph states and they
include GHZ, cluster states etc. Examples include an application to qudits and
a calculation of the n-tangle for 2-colorable graph states.

33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex