Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thresholds for reduction-related entanglement criteria in quantum
  information theory   We consider random bipartite quantum states obtained by tracing out one
subsystem from a random, uniformly distributed, tripartite pure quantum state.
We compute thresholds for the dimension of the system being traced out, so that
the resulting bipartite quantum state satisfies the reduction criterion in
different asymptotic regimes. We consider as well the basis-independent version
of the reduction criterion (the absolute reduction criterion), computing
thresholds for the corresponding eigenvalue sets. We do the same for other sets
relevant in the study of absolute separability, using techniques from random
matrix theory. Finally, we gather and compare the known values for the
thresholds corresponding to different entanglement criteria, and conclude with
a list of open questions.

32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess