  In this work we study an inverse dynamical problem for a bipartite quantum
system governed by the time local master equation: to find the class of
generators which give rise to a certain time evolution with the constraint of
fixed reduced states (marginals). The compatibility of such choice with a
global unitary evolution is considered. For the non unitary case we propose a
systematic method to reconstruct examples of master equations and address them
to different physical scenarios.

Quantum Physics