Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistically significant tests of multiparticle quantum correlations
  based on randomized measurements   We consider statistical methods based on finite samples of locally randomized
measurements in order to certify different degrees of multiparticle
entanglement in intermediate-scale quantum systems. We first introduce
hierarchies of multi-qubit criteria, satisfied by states which are separable
with respect to partitions of different size, involving only second moments of
the underlying probability distribution. Then, we analyze in detail the
statistical error of the estimation in experiments and present several
approaches for estimating the statistical significance based on large deviation
bounds. The latter allows us to characterize the measurement resources required
for the certification of multiparticle correlations, as well as to analyze
given experimental data in detail.

31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys