Robustness and fragility of Markovian dynamics in a qubit dephasing channel

TL;DR

This paper investigates how Markovian dynamics in a qubit dephasing channel respond to noise, introducing a new algorithm to assess Markovianity through CP-divisibility in perturbed scenarios.

Contribution

It presents a novel algorithm for verifying CP-divisibility, enhancing the analysis of Markovianity under noise perturbations in quantum channels.

Findings

Markovianity can be affected by noise in a qubit dephasing channel

The new algorithm effectively checks CP-divisibility in noisy conditions

Insights into the robustness and fragility of Markovian dynamics

Abstract

The Markovian dynamics of a qubit is investigated in the scheme of random unitary dynamics, where Kraus operators are changed by an extra noise. The behavior of Markovianity is explored in the perturbed scenario. We provide a new algorithm for checking CP-divisibility (Markovianity) of a dynamical map.