{
  "abstract": "Projected entangled pair states (PEPS) provide an efficient variational ansatz for two-dimensional quantum phases, but computing observables remains challenging because PEPS contraction is generally costly. Here, we parameterize two-dimensional quantum states using variational PEPS subject to isometric constraints and map the resulting ansatz onto monitored quantum circuits, replacing tensor-network contraction with circuit sampling. For infinite cylinders, the transfer matrix defines a quantum channel on the virtual boundary. We use a fixed-point treatment and a monitored-circuit unraveling of this channel to evaluate observables efficiently. Using a constant number of variational parameters and a number of qubits that scales only with the cylinder width, our method yields a phase diagram for the $J_1$-$J_2$ model in qualitative agreement with DMRG results. Because the monitored circuits are compatible with near-term quantum hardware, this approach provides a hybrid quantum-classical framework for simulating two-dimensional quantum many-body systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.18511",
  "author_total": 4,
  "authors": [
    {
      "name": "Yuqing Rong"
    },
    {
      "name": "Huan-Hai Zhou"
    },
    {
      "name": "Guo-Yi Zhu"
    },
    {
      "name": "Jinguo Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/86bj0kkgaexfp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.18511",
  "fulltext_url": null,
  "id": "86bj0kkgaexfp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.18511",
  "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",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7203873794",
  "pdf_url": "https://arxiv.org/pdf/2608.18511",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/86bj0kkgaexfp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.18511",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.18511"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Sampling isometric tensor network states with monitored quantum circuits",
  "title_text": "Sampling isometric tensor network states with monitored quantum circuits",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/86bj0kkgaexfp",
  "venue": "arXiv",
  "versions": []
}