Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-testing of any pure entangled state with minimal number of
  measurements and optimal randomness certification in one-sided
  device-independent scenario   Certification of quantum systems and their properties has become a field of
intensive studies. Here, taking advantage of the one-sided device-independent
scenario (known also as quantum steering scenario), we propose a self-testing
scheme for all bipartite entangled states using a single family of steering
inequalities with the minimal number of two measurements per party. Building on
this scheme we then show how to certify all rank-one extremal measurements,
including non-projective $d^2$-outcome measurements, which in turn can be used
for certification of the maximal amount of randomness from every entangled
bipartite state of local dimension $d$, that is, $2\log_2d$ bits. Finally, in a
particular case of $d=3$, we extend our self-testing results to the fully
device-independent setting.

22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
2
The categories of this paper are: math
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg