{
  "abstract": "We introduce a general mechanism for engineering moment-selective temporal designs with hierarchically structured aperiodic drives. At special control settings where the driven dynamics is constrained by a finite symmetry group, lower-order moments can already reproduce Haar statistics while a selected higher-order deviation remains nonzero. A small static detuning from such a setting generically produces an exponentially long lifetime whose exponent scales inversely with the square of the detuning. We illustrate this mechanism in qubit systems through exact Fibonacci and silver-mean constructions with tetrahedral and icosahedral resonances, for which the first retained non-Haar moments occur at orders $3$ and $6$, respectively. We further show that stochastic control fluctuations produce a qualitatively different cutoff from coherent detuning. Finally, we propose a finite-time signature of the long-lived moment that can be measured without requiring observations over exponentially long times.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.13371",
  "author_total": 1,
  "authors": [
    {
      "name": "Yang Peng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/28kt5g0ew9ma3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.13371",
  "fulltext_url": null,
  "id": "28kt5g0ew9ma3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.13371",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7213366717",
  "pdf_url": "https://arxiv.org/pdf/2609.13371",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/28kt5g0ew9ma3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.13371",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.13371"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Moment-Selective Quantum Designs in Aperiodic Temporal Ensembles",
  "title_text": "Moment-Selective Quantum Designs in Aperiodic Temporal Ensembles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/28kt5g0ew9ma3",
  "venue": "arXiv",
  "versions": []
}