Entanglement generation through Markovian feed-back in open two-qubit systems

Abstract

We discuss the generation and the long-time persistence of entangle- ment in open two-qubit systems whose reduced dissipative dynamics is not apriori engineered but is instead subjected to filtering and Marko- vian feedback. In particular, we analytically study 1.) whether the lat- ter operations may enhance the environment capability of generating entanglement at short times and 2.) whether the generated entagle- ment survives in the long-time regime. We show that, in the case of par- ticularly symmetric Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) it is possible to fully control the convex set of stationary states of the two-qubit reduced dynamics, therefore the asymptotic behaviour of any initial two-qubit state. We then study the impact of a suitable class of feed-back operations on the considered dynamics.