{
  "abstract": "The NOON states possess Heisenberg-limited phase sensitivity and are crucial for quantum-enhanced metrology. In our work, we develop a Floquet-engineered conditional-routing framework in which a $d$-level quantum controller mediates the dynamics of $d$ bosonic modes. For an arbitrary odd dimension $d=2s+1$, the $d$-level system can act as a ``quantum knob\" by tuning its initial states to coherently control the direction of chiral excitation flow, such that different controller eigenstates generate distinct cyclic-routing branches of the bosonic excitations. By choosing $s$ harmonics, we construct an exact qudit-controlled cyclic permutation and use it to formulate a general protocol for preparing odd-$d$-mode NOON states. The same framework also enables programmable complex amplitudes through appropriate preparation of the controller state. As concrete realizations, we show that the three-mode case requires only a single harmonic and exhibits two oppositely directed chiral branches together with a stationary branch, whereas the five-mode case requires two harmonics and both nearest- and next-nearest-neighbor chiral hoppings. Meanwhile, taking the three-mode realization as a representative example, we assess the influence of systematic imperfections and dissipation on the conditional-routing dynamics and identify parameter regimes in which the routing operation remains accurate. Our results establish a systematic Floquet construction for controllable chiral routing and multimode NOON-state generation in arbitrary odd-dimensional networks, with potential applications in quantum information processing and quantum metrology.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.14524",
  "author_total": 5,
  "authors": [
    {
      "name": "Mengxue Li"
    },
    {
      "name": "Bo Tian"
    },
    {
      "name": "H. Z. Shen"
    },
    {
      "name": "Haodi Liu"
    },
    {
      "name": "Gangcheng Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9s1q0tv78e9zk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14524",
  "fulltext_url": null,
  "id": "9s1q0tv78e9zk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14524",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7213347428",
  "pdf_url": "https://arxiv.org/pdf/2609.14524",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9s1q0tv78e9zk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.14524",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14524"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Preparation of Multimode NOON States via Floquet-Engineered Conditional Chiral Excitation",
  "title_text": "Preparation of Multimode NOON States via Floquet-Engineered Conditional Chiral Excitation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/9s1q0tv78e9zk",
  "venue": "arXiv",
  "versions": []
}