Determine how memory effects influence informational steady states

Determine how non-Markovian memory effects influence the formation and steady-state properties of informational steady states beyond the Markovian settings previously studied.

Background

Informational steady states arise when information gained through continuous measurements is balanced by information about earlier measurements that is lost to the environment. Existing studies have primarily considered Markovian dynamics, whereas the role of environmental memory and information backflow in the formation and properties of informational steady states remains insufficiently understood.

The paper investigates this issue within a specific continuously monitored collision model consisting of two-qubit ancillas and partial-swap interactions. Its numerical results characterize the relationship between the Breuer–Laine–Piilo measure of non-Markovianity and the steady-state information gain for that model, but the broader influence of memory effects on informational steady states remains unresolved.