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quant-ph2025
From Krylov Complexity to Observability: Capturing Phase Space Dimension with Applications in Quantum Reservoir Computing
Saud Äindrak, Kathy Lüdge, Lina Jaurigue
We demonstrate that time-evolved operators can construct a Krylov space to compute Operator complexity and introduce Krylov observability as a measure of effective phase space dime…
quant-ph2025
Engineering Quantum Reservoirs through Krylov Complexity, Expressivity and Observability
Saud Äindrak, Lina Jaurigue, Kathy Lüdge
This study employs Krylov-based information measures to understand task performance in quantum reservoir computing, a sub-field of quantum machine learning. In our study we show th…
quant-ph2024
Measurable Krylov Spaces and Eigenenergy Count in Quantum State Dynamics
Saud Äindrak, Adrian Paschke, Lina Jaurigue +1
In this work, we propose a quantum-mechanically measurable basis for the computation of spread complexity. Current literature focuses on computing different powers of the Hamiltoni…