{
  "abstract": "We prove small-time global approximate controllability in L2 for bilinear Schrödinger equations on compact connected normal homogeneous spaces. The controls act through finitely many smooth real-valued potentials. We first construct finite saturating families on compact connected Lie groups endowed with bi-invariant metrics, using Peter–Weyl theory and the Casimir operator. Their phase saturation contains the representative algebra and is therefore dense in L2. We extend this construction to normal homogeneous quotients using finite generation of the algebra of highest-weight functions. Global controllability follows by combining the phase-to-gradient trans- port argument of [8] with the gradient generation theorem of [23] and Moser’s transport of positive densities.",
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  "arxiv": "2610.29940",
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  "authors": [
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      "name": "Hugo Parada"
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  "doi": "10.48550/arxiv.2610.29940",
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  "pmcid": null,
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  "published": "2026-10-21",
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  "ris": "https://research.draconitic.com/paper/80e5q2t1b3yed.ris",
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      "first_seen": "2026-10-30T12:18:00Z",
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      "native_id": "2610.29940",
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      "url": "https://arxiv.org/abs/2610.29940"
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  "subjects": [
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      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
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    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
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  ],
  "title": "Small-time approximate controllability of bilinear Schrödinger equations on compact normal homogeneous spaces",
  "title_text": "Small-time approximate controllability of bilinear Schrödinger equations on compact normal homogeneous spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/80e5q2t1b3yed",
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