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quant-ph2026

Efficient time-series prediction on NISQ devices via time-delayed quantum extreme learning machine

Mio Kawanabe, Saud Cindrak, Kathy Ludge +3

We proposed a time-delayed quantum extreme learning machine (TD-QELM) for efficient time-series prediction on noisy intermediate-scale quantum (NISQ) devices. By encoding multiple…

quant-ph2026

Memory-Nonlinearity Trade-off across Quantum Reservoir Computing Frameworks

Saud Čindrak, Lara Giebeler, Niclas Götting +2

Quantum reservoir computing (QRC) harnesses driven quantum dynamics for time-series processing, yet the mechanisms behind the differing performance levels across its many implement…

quant-ph2026

On Minimizing Krylov Complexity Using Higher-Order Generators

Saud Čindrak, Kathy Lüdge

Krylov complexity provides a powerful framework for characterizing the dynamical evolution of quantum systems through the spreading of states in Krylov space. The motivation for th…

quant-ph2025

From Krylov Complexity to Observability: Capturing Phase Space Dimension with Applications in Quantum Reservoir Computing

Saud Čindrak, 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 Čindrak, 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…