Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlocality threshold for entanglement under general dephasing
  evolutions: A case study   Determining relationships between different types of quantum correlations in
open composite quantum systems is important since it enables the exploitation
of a type by knowing the amount of another type. We here review, by giving a
formal demonstration, a closed formula of the Bell function, witnessing
nonlocality, as a function of the concurrence, quantifying entanglement, valid
for a system of two noninteracting qubits initially prepared in extended
Werner-like states undergoing any local pure-dephasing evolution. This formula
allows for finding nonlocality thresholds for the concurrence depending only on
the purity of the initial state. We then utilize these thresholds in a
paradigmatic system where the two qubits are locally affected by a quantum
environment with an Ohmic class spectrum. We show that steady entanglement can
be achieved and provide the lower bound of initial state purity such that this
stationary entanglement is above the nonlocality threshold thus guaranteeing
the maintenance of nonlocal correlations.

25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph