{
  "abstract": "The Riemann Hypothesis (RH), one of the most profound unsolved problems in mathematics, concerns the nontrivial zeros of the Riemann zeta function. Linking these zeros to physical phenomena offers new perspectives on their origin and verification. Here we establish a direct correspondence between these zeros and dynamical quantum phase transitions in two quantum many-body systems, characterized by the average accumulated phase factor and the Loschmidt amplitude respectively. This precise correspondence recasts the RH as the emergence of phase transitions at a unique temperature and identifies it as a previously unknown transition mechanism. We demonstrate this correspondence in a proof-of-principle experiment on a quantum processor. Moreover, we propose a quantum computational framework that implements both systems with polynomial resources, suggesting quantum advantage in probing the hypothesis. Our work bridges nonequilibrium quantum dynamics and number theory, positioning quantum computing as a powerful platform for exploring mathematical conjectures, phase transitions and beyond.",
  "abstract_shown": true,
  "affiliations": [
    "Beijing Academy of Quantum Information Sciences, Beijing, China. weisj@baqis.ac.cn",
    "International Quantum Academy, Shenzhen, 518048, China",
    "Southern University of Science and Technology, Shenzhen, 518055, China",
    "Department of Physics, Tsinghua University, Beijing, China",
    "Beijing Academy of Quantum Information Sciences, Beijing, China",
    "Center for Quantum Computing, RIKEN, Wakoshi, Saitama, Japan",
    "Quantum Research Institute, The University of Michigan, Ann Arbor, MI, USA",
    "International Quantum Academy, Shenzhen, 518048, China. xintao@iqasz.cn",
    "Beijing Academy of Quantum Information Sciences, Beijing, China. gllong@tsinghua.edu.cn",
    "Department of Physics, Tsinghua University, Beijing, China. gllong@tsinghua.edu.cn",
    "Tsinghua National Laboratory for Information Science and Technology, Beijing, China. gllong@tsinghua.edu.cn"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 10,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Shijie Wei",
      "orcid": "0000-0001-8312-1198"
    },
    {
      "affs": [
        1,
        2
      ],
      "name": "Yue Zhai"
    },
    {
      "affs": [
        3
      ],
      "name": "Quanfeng Lu"
    },
    {
      "affs": [
        3
      ],
      "name": "Wentao Yang"
    },
    {
      "affs": [
        4
      ],
      "name": "Pan Gao"
    },
    {
      "affs": [
        1,
        2
      ],
      "name": "Chao Wei"
    },
    {
      "affs": [
        1,
        2
      ],
      "name": "Junda Song",
      "orcid": "0000-0003-0519-2497"
    },
    {
      "affs": [
        5,
        6
      ],
      "name": "Franco Nori",
      "orcid": "0000-0003-3682-7432"
    },
    {
      "affs": [
        7
      ],
      "name": "Tao Xin",
      "orcid": "0000-0002-8961-1945"
    },
    {
      "affs": [
        8,
        9,
        10
      ],
      "name": "Gui‐Lu Long",
      "orcid": "0000-0002-9023-1579"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8zrhtxzn6v2q8.bib",
  "cited_by": 13,
  "doi": "10.1038/s41467-026-74935-8",
  "fulltext_url": null,
  "id": "8zrhtxzn6v2q8",
  "issns": [
    "2041-1723"
  ],
  "landing_url": "https://doi.org/10.1038/s41467-026-74935-8",
  "language": "en",
  "licence": "CC-BY-NC-ND",
  "licence_label": "CC BY-NC-ND",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
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  "openalex": "W7166668879",
  "pdf_url": null,
  "pmcid": "PMC13458047",
  "pmid": "42380166",
  "published": "2026-06-30",
  "publisher": "Nature Portfolio",
  "ris": "https://research.draconitic.com/paper/8zrhtxzn6v2q8.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:21:01Z",
      "native_id": "W7166668879",
      "source": "openalex",
      "url": "https://doi.org/10.1038/s41467-026-74935-8"
    }
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  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3107|Quantum many-body systems",
      "subfield": "amo"
    }
  ],
  "title": "The Riemann Hypothesis manifested in dynamical quantum phase transitions",
  "title_text": "The Riemann Hypothesis manifested in dynamical quantum phase transitions",
  "type": "peer-reviewed",
  "updated_at": "2026-11-06T13:20:23Z",
  "url": "https://research.draconitic.com/paper/8zrhtxzn6v2q8",
  "venue": "Nature Communications",
  "versions": []
}