{
  "abstract": "Partial transposition reveals mixed-state entanglement through the spectrum of $ρ_{AB}^{T_B}$, but this operator is not generally a physical state. Its power moments are accessible through collective permutations, whose coherent width grows with moment order. Here we introduce a streaming protocol that processes fresh copies sequentially while retaining one copy and a reusable ancilla. By realizing opposite cyclic permutations on the two subsystems, each measurement record yields unbiased estimators of all moments $p_2,\\ldots,p_K$ through successive outcome products. For an $n$-qubit state, the protocol uses $2n+1$ active qubits independent of $K$ and $O(K\\log K/ε_{\\rm mom}^2)$ copies, matching $Ω(K/ε_{\\rm mom}^2)$ lower bounds up to a logarithmic factor, including a PT-specific isospectral construction. Higher-order moments strengthen thermal-state entanglement certification toward the exact PPT threshold. Simulations cover pure and mixed states, and a cloud quantum processor implements a three-qubit instance.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.14204",
  "author_total": 4,
  "authors": [
    {
      "name": "Junxiang Huang"
    },
    {
      "name": "Xiaoyang Wang"
    },
    {
      "name": "Xiao Yuan"
    },
    {
      "name": "Yukun Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/763gavt83rttn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.14204",
  "fulltext_url": null,
  "id": "763gavt83rttn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.14204",
  "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": "W7164839308",
  "pdf_url": "https://arxiv.org/pdf/2606.14204",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/763gavt83rttn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:48Z",
      "native_id": "2606.14204",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.14204"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Streaming the partial-transpose moment hierarchy with order-independent quantum memory",
  "title_text": "Streaming the partial-transpose moment hierarchy with order-independent quantum memory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:48Z",
  "url": "https://research.draconitic.com/paper/763gavt83rttn",
  "venue": "arXiv",
  "versions": []
}