Robustness Analysis for Quantum Systems Controlled by Continuous-Time Pulses

Fuente: arXiv
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Autores principales: O'Neil, Sean Patrick, Jonckheere, Edmond, Schirmer, Sophie
Formato: Preprint
Publicado: 2025
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author O'Neil, Sean Patrick
Jonckheere, Edmond
Schirmer, Sophie
author_facet O'Neil, Sean Patrick
Jonckheere, Edmond
Schirmer, Sophie
contents Differential sensitivity techniques originally developed to study the robustness of energy landscape controllers are generalized to the important case of closed quantum systems subject to continuously varying controls. Vanishing sensitivity to parameter variation is shown to coincide with perfect fidelity, as was the case for time-invariant controls. Upper bounds on the magnitude of the differential sensitivity to any parameter variation are derived based simply on knowledge of the system Hamiltonian and the maximum size of the control inputs.
format Preprint
id arxiv_https___arxiv_org_abs_2507_00255
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Robustness Analysis for Quantum Systems Controlled by Continuous-Time Pulses
O'Neil, Sean Patrick
Jonckheere, Edmond
Schirmer, Sophie
Quantum Physics
Systems and Control
Differential sensitivity techniques originally developed to study the robustness of energy landscape controllers are generalized to the important case of closed quantum systems subject to continuously varying controls. Vanishing sensitivity to parameter variation is shown to coincide with perfect fidelity, as was the case for time-invariant controls. Upper bounds on the magnitude of the differential sensitivity to any parameter variation are derived based simply on knowledge of the system Hamiltonian and the maximum size of the control inputs.
title Robustness Analysis for Quantum Systems Controlled by Continuous-Time Pulses
topic Quantum Physics
Systems and Control
url https://arxiv.org/abs/2507.00255