Indirect stabilization of N -level quantum systems

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.

Quantum Physics (quant-ph); Mathematical Physics (math-ph); Optimization and Control (math.OC)

arXiv:2608.30308 [quant-ph]

(or arXiv:2608.30308v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.30308 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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