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QI: Fachverband Quanteninformation

QI 13: Quantum Control

QI 13.6: Vortrag

Mittwoch, 11. März 2026, 16:15–16:30, BEY/0245

Efficient analytical gradient evaluation for locally-interacting large multi-qubit platforms — •Alessandro Ciani¹, Ashutosh Mishra^1,2, Elena Lupo¹, and Frank Wilhelm-Mauch^{1, 2} — ¹Forschungszentrum Jülich, Jülich, Germany — ²Universität des Saarlandes, Saarbrücken, Germany

We present a general framework for the computation of derivatives of time-ordered propagators in quantum optimal control, for both closed and open quantum systems, with respect to any general pulse parameterization, by deriving the formal solution from first principles. We obtain a series expansion for the gradients of the propagator, and utilize locality constraints to efficiently compute the derivatives. Further, we demonstrate that such a method can be used to efficiently compute gradients in large multi-qubit platforms, without running necessarily into the problem of storing the whole quantum state, whose size grows exponentially with the number of qubits. Our approach, can be viewed in terms of the recently introduced Pauli propagation framework applied to the computation of gradients in optimal control tasks. Finally, we show that our method is capable of accurately estimating the gradients, with much reduced memory and runtime compared to direct numerical evaluation.

Keywords: gradients; pauli propagation