Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing the degree of non-Markovianity for independent and common
  environments   We study the non-Markovianity of the dynamics of open quantum systems
focusing on the cases of independent and common environmental interactions. We
investigate the degree of non-Markovianity quantified by two distinct measures
proposed by Luo, Fu and Song (LFS) and Breuer, Laine and Pillo (BLP). We show
that the amount of non-Markovianity, for a single and a pair of qubits, depends
on the quantum process, the proposed measure and whether the environmental
interaction is collective or independent. In particular, we demonstrate that
while the degree of non-Markovianity generally increases with the number of the
qubits in the system for independent environments, the same behavior is not
always observed for common environments. In the latter case, our analysis
suggests that the amount of non-Markovianity could increase or decrease
depending on the properties of the considered quantum process.

20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex