Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructive method for detecting the information backflow of bijective
  non-completely-positive-divisible dynamics   We investigate the relation between two approaches to the characterisation of
quantum Markovianity, divisibility and lack of information backflow. We show
that a bijective dynamical map is completely-positive-divisible if and only if
a monotonic non-increase of distinguishability is observed for two equiprobable
states of the evolving system and an ancilla. Moreover our proof is
constructive: given any such map that is not completely-positive-divisible, we
give an explicit construction of two states that, when taken with the same a
priori probability, exhibit information back-flow. Finally, while an ancilla is
necessary for the equivalence to hold in general, we show that it is always
possible to witness the non-Markovianity of bijective maps without using any
entanglement between system and ancilla.

34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph