Reduced dynamical maps in the presence of initial correlations

摘要: We introduce a general framework for the construction of completely positive dynamical evolutions in presence system-environment initial correlations. The relies upon commutativity compatibility domain obtained by considering marginals with respect to environmental degrees freedom considered class correlated states. Our approach allows consider states whose discord is not necessarily zero and explicitly show non-uniqueness extensions map outside domain. relevance such maps treatment open quantum system dynamics discussed connection previous literature critically assessed.