Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proving genuine multiparticle entanglement from separable
  nearest-neighbor marginals   We address the question of whether or not global entanglement of a quantum
state can be inferred from local properties. Specifically, we are interested in
genuinely multiparticle entangled states whose two-body marginals are all
separable, but where the entanglement can be proven using knowledge of a subset
of the marginals only. Using an iteration of semidefinite programs we prove
that for any possible marginal configuration up to six particles multiqubit
states with the desired properties can be found. We then present a method to
construct states with the same properties for more particles in higher
dimensions.

7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom