{
  "abstract": "We construct short analytical quantum circuits for the exact evolution of a spin triangle with Dzyaloshinskii--Moriya (DM) interaction. We consider pure DM interaction with arbitrary real couplings and two Hamiltonian families with uniform Heisenberg exchange. For pure DM, a change of basis reduces the evolution to two single-qubit rotations. The circuits reproduce the full evolution operator at arbitrary time with a fixed gate count and admit implementations with both triangular and linear qubit connectivity. Experiments on a superconducting IBM quantum processor demonstrate directional quantum-state transfer and reproduce the amplitude and phase of transverse magnetization. In these experiments, the exact circuits reduce distortions relative to circuits based on the second-order Trotter formula. On a 12-spin kagome cluster, exact triangle blocks reduce the gate count at a prescribed accuracy. We also investigate the reduction of coherent errors by adjusting circuit angles and applying echo pulses to neighboring qubits.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15411",
  "author_total": 1,
  "authors": [
    {
      "name": "Andrey Zhukov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2frqxxn11qnkb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15411",
  "fulltext_url": null,
  "id": "2frqxxn11qnkb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15411",
  "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 Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7213293875",
  "pdf_url": "https://arxiv.org/pdf/2609.15411",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2frqxxn11qnkb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2609.15411",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15411"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Exact quantum circuits for a Heisenberg triangle with Dzyaloshinskii-Moriya interaction",
  "title_text": "Exact quantum circuits for a Heisenberg triangle with Dzyaloshinskii-Moriya interaction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/2frqxxn11qnkb",
  "venue": "arXiv",
  "versions": []
}