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

We discuss the generation and the long-time persistence of entanglement in open two-qubit systems whose reduced dissipative dynamics is not a priori engineered but is instead subjected to filtering and Markovian feedback. In particular, we analytically study (1) whether the latter operations may enhance the environment capability of generating entanglement at short times and (2) whether the generated entanglement survives in the long-time regime. We show that, in the case of particularly symmetric Gorini-Kossakowski-Sudarshan-Lindblad 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.

Automated summary

In this paper, we discuss the generation and long-time persistence of entanglement in open two-qubit systems undergoing filtering and Markovian feedback. We analyze whether these operations can enhance the environment's ability to generate entanglement in the short-term and whether the generated entanglement can survive in the long-term. We demonstrate that in the case of a particularly symmetric Gorini-Kossakowski-Sudarshan-Lindblad model, it is possible to fully control the convex set of stationary states and the asymptotic behavior of any initial two-qubit state. We also study the impact of a specific class of feedback operations on the considered dynamics.