Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entangled systems are unbounded sources of nonlocal correlations and of
  certified random numbers   The outcomes of local measurements made on entangled systems can be certified
to be random provided that the generated statistics violate a Bell inequality.
This way of producing randomness relies only on a minimal set of assumptions
because it is independent of the internal functioning of the devices generating
the random outcomes. In this context it is crucial to understand both
qualitatively and quantitatively how the three fundamental quantities --
entanglement, non-locality and randomness -- relate to each other. To explore
these relationships, we consider the case where repeated (non projective)
measurements are made on the physical systems, each measurement being made on
the post-measurement state of the previous measurement. In this work, we focus
on the following questions: For systems in a given entangled state, how many
nonlocal correlations in a sequence can we obtain by measuring them repeatedly?
And from this generated sequence of non-local correlations, how many random
numbers is it possible to certify? In the standard scenario with a single
measurement in the sequence, it is possible to generate non-local correlations
between two distant observers only and the amount of random numbers is very
limited. Here we show that we can overcome these limitations and obtain any
amount of certified random numbers from an entangled pair of qubit in a pure
state by making sequences of measurements on it. Moreover, the state can be
arbitrarily weakly entangled. In addition, this certification is achieved by
near-maximal violation of a particular Bell inequality for each measurement in
the sequence. We also present numerical results giving insight on the
resistance to imperfections and on the importance of the strength of the
measurements in our scheme.

27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin