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Preprint Sep 2026

Low-rank propagation for tridiagonalizable open quantum systems: near-linear scaling with system size

The quadratic growth of the density matrix with Hilbert-space dimension D is the central obstacle to simulating large open quantum systems. We introduce a deterministic algorithm that eliminates it for Lindblad dynamics whose Hamiltonian consists of a time-dependent diagonal part plus terms that are tridiagonal after r...

R. Ovsiannikov, Kurt Jacobs, A. Sotnikov et al. · 0 citations
#artificial intelligence Preprint Sep 2026

Digital Twin Modeling of Quantum Dynamical Systems: Dissipative Quantum Reservoir Computing

Modeling the response of driven many-body quantum systems from input--output data is difficult: the dynamics are nonlinear, history dependent, and expensive to simulate as system size grows. A paradigmatic case is High-Harmonic Generation~(HHG), where a strong field drives a medium to emit radiation that is highly sens...

Abhijit Sen, B. Parida, Shital Chauhan et al. · 0 citations

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