Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement criteria for the bosonic and fermionic induced ensembles   We introduce the bosonic and fermionic ensembles of density matrices and
study their entanglement. In the fermionic case, we show that random bipartite
fermionic density matrices have non-positive partial transposition, hence they
are typically entangled. The similar analysis in the bosonic case is more
delicate, due to a large positive outlier eigenvalue. We compute the asymptotic
ratio between the size of the environment and the size of the system Hilbert
space for which random bipartite bosonic density matrices fail the PPT
criterion, being thus entangled. We also relate moment computations for
tensor-symmetric random matrices to evaluations of the circuit-counting and
interlace graph polynomials for directed graphs.

27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th