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arXiv · 2608.30308

Indirect stabilization of N -level quantum systems

Francesca Carlotta Chittaro
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Abstract

We study the stabilizability of a N -level quantum systems using an indirect control ar- chitecture mediated by a noisy ancilla. After outlining the general theoretical framework for arbitrary N , we focus on the two-level case (N = 2), for which we derive a complete set of necessary and sufficient conditions for asymptotic stability. Finally, we illustrate the analyti- cal results with a simple numerical example on a two-spin system, showing convergence to a Bell state for a set of random initial conditions.

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Francesca Carlotta Chittaro. 2026-08-31. Indirect stabilization of N -level quantum systems. https://arxiv.org/abs/2608.30308

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