Lindblad-Inspired Reservoir Computing with Separable Rotation and Dissipation

A recent study presents a classical Lindblad-inspired multi-timescale reservoir tailored for echo-state networks, enabling distinct management of reversible mixing and irreversible forgetting while ensuring global stability. The recurrent operator is constructed from precisely discretized damped rotational modes, allowing for independent manipulation of rotation and decay. The mixing of orthogonal modes maintains normality, and the decay spectrum is crucial for determining echo-state stability. This methodology connects principles of open-system dynamics with structured state-space modeling, overcoming the challenges faced by traditional reservoirs that usually combine signal mixing, memory retention, and stability in a single random recurrent matrix. The research can be found on arXiv with the identifier 2608.04028.