Non-Markovian quantum dissipative processes with the same positive features as Markovian dissipative processes

TL;DR

This paper demonstrates that non-Markovian quantum dissipative processes can possess attractive steady-state manifolds similar to those in Markovian systems, enabling the extension of dissipation-assisted quantum schemes.

Contribution

It shows the existence of positive steady-state manifolds in non-Markovian processes, generalizing dissipation-assisted quantum information protocols beyond Markovian models.

Findings

Existence of attractive steady-state manifolds in non-Markovian processes

Positive features of Markovian dissipative processes are preserved

Dissipation-assisted schemes can be generalized to non-Markovian systems

Abstract

It has been found that Markovian quantum dissipative processes, described by the Lindblad equation, may have attractive steady-state manifolds, in which dissipation and decoherence can play a positive role to quantum information processing. In this article, we show that such attractive steady-state manifolds with the same positive features as in Markovian dissipative processes can exist in the non-Markovian dissipative processes. Our finding indicates that the dissipation-assisted schemes implemented in the Markovian systems can be directly generalized to the non-Markovian systems.