{
  "abstract": "We generalize the canonical Hopfield model of associative memory, which stores classical states of individual spins, to store entangled quantum states. The construction is based on truncated projector-sum Hamiltonian, and we explicitly consider a special case that stores dimer singlet coverings of a spin-1/2 system. We analyze the stability of the stored memories and find that the capacity -- the number of stable patterns -- scales faster with the system size than one would expect from a naive analogy with the standard Hopfield model, suggesting a possible quantum advantage.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28726",
  "author_total": 3,
  "authors": [
    {
      "name": "Qiyuan Hu"
    },
    {
      "name": "Kartiek Agarwal"
    },
    {
      "name": "Ivar Martin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5f57f12an1bc8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28726",
  "fulltext_url": null,
  "id": "5f57f12an1bc8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28726",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.28726",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5f57f12an1bc8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.28726",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28726"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Associative Memory for Quantum Entangled States",
  "title_text": "Associative Memory for Quantum Entangled States",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:11Z",
  "url": "https://research.draconitic.com/paper/5f57f12an1bc8",
  "venue": "arXiv",
  "versions": []
}