3 Dokumente gefunden

Investigating quantum evolution using Krylov complexity and its applications in quantum reservoir computing

Diese Dissertation untersucht das Zusammenspiel von Quantendynamik, Quanteninformationstheorie und Quantum Reservoir Computing (QRC). Im Zentrum steht die Frage, wie sich Quantensysteme zeitlich entwickeln und inwieweit das Verständnis dieser Zeitentwicklung Einblicke in QRC geben kann. Die Arbeit führt…

Measurable Krylov spaces and eigenenergy count in quantum state dynamics

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 Hamiltonian to construct a basis for the Krylov state space and the computation of the spread complexity. We show, through a series…
Berlin: Springer, 2024-10-10

Enhancing the performance of quantum reservoir computing and solving the time-complexity problem by artificial memory restriction

We propose a scheme that can enhance the performance and reduce the computational cost of quantum reservoir computing. Quantum reservoir computing is a computing approach which aims at utilizing the complexity and high dimensionality of small quantum systems, together with the fast trainability of reservoir…
College Park, MD: APS, 2024-01-16