Markovianity of the reference state, complete positivity of the reduced dynamics, and monotonicity of the relative entropy

Iman Sargolzahi, Sayyed Yahya Mirafzali

Consider the set $\mathcal{S}=\{{\rho }_{SE}\}$ of possible initial states of the system-environment, steered from a tripartite reference state ${\omega }_{RSE}$. Buscemi [F. Buscemi,…