Robustness Analysis for Quantum Systems Controlled by Continuous-Time Pulses

• URL: http://arxiv.org/abs/2507.00255v1
• Date: Mon, 30 Jun 2025 20:47:35 GMT
• Title: Robustness Analysis for Quantum Systems Controlled by Continuous-Time Pulses
• Authors: Sean Patrick O'Neil, Edmond Jonckheere, Sophie Schirmer,
• Abstract summary: Vanishing sensitivity to parameter variation is shown to coincide with perfect fidelity.<n>Bounds on the magnitude of the differential sensitivity to any parameter variation are derived based simply on knowledge of the system Hamiltonian.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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. 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

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