Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the reduction criterion for random quantum states   In this paper we study the reduction criterion for detecting entanglement of
large dimensional bipartite quantum systems. We first obtain an explicit
formula for the moments of a random quantum state to which the reduction
criterion has been applied. We show that the empirical eigenvalue distribution
of this random matrix converges strongly to a limit that we compute, in three
different asymptotic regimes. We then employ tools from free probability to
study the asymptotic positivity of the reduction operators. Finally, we compare
the reduction criterion with other entanglement criteria, via thresholds.

19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int