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PreprintCC BY-NC-ND 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{chittaro2026indirect,
  title = {{Indirect stabilization of N -level quantum systems}},
  author = {Francesca Carlotta Chittaro},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.30308},
  eprint = {2608.30308},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.30308},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Indirect stabilization of N -level quantum systems
AU  - Francesca Carlotta Chittaro
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2608.30308
UR  - https://arxiv.org/abs/2608.30308
AB  - 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.
ER  -