Alladi Ramakrishnan Hall

Relating CP divisibility of dynamical maps with compatibility of channels

Arindam Mitra

IIT--Bombay

The role of CP-indivisibility and incompatibility as valuable
resources for various information-theoretic tasks is widely acknowledged.
This study delves into the intricate relationship between CP-divisibility
and channel compatibility. Our investigation focuses on the behaviour of
incompatibility robustness of quantum channels for a pair of generic
dynamical maps. We show that the incompatibility robustness of channels is
monotonically non-increasing for a pair of generic CP-divisible dynamical
maps. Further, our explicit study of the behaviour of incompatibility
robustness with time for some specific dynamical maps reveals non-monotonic
behaviour in the CP-indivisible regime. Additionally, we propose a measure
of CP-indivisibility based on the incompatibility robustness of quantum
channels. Our investigation provides valuable insights into the nature of
quantum dynamical maps and their relevance in information-theoretic
applications.

Paper link-- arXiv:2309.10806 [quant-ph]