{
  "abstract": "Symmetry-protected topological (SPT) phases are conventionally formulated for pure states protected by exact symmetries. In open quantum systems, however, decoherence generates mixed-state ensembles in which average symmetry can instead emerge only after averaging over microscopic trajectories. In this work, we realize decoherence-induced averaged SPT (ASPT) order on programmable quantum processors. Starting from a one-dimensional cluster SPT, we engineer sublattice-selective Pauli-$Z$ dephasing through ancilla-assisted quantum circuits. We observe the resulting symmetry conversion through the decay of the symmetry charge. Moreover, a two-replica Renyi-2 string correlator measured through destructive SWAP readout remains nontrivial, revealing the ASPT structure encoded at the density-matrix level. We further show that the engineered dephasing redistributes spectral weight among reduced-stabilizer sectors while preserving the characteristic twofold pairing of the half-chain entanglement spectrum. These results establish a gate-based route to engineering and probing ASPT order and demonstrate structured decoherence as a programmable resource for realizing mixed-state topological quantum matter.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07831",
  "author_total": 3,
  "authors": [
    {
      "name": "Ruizhe Shen"
    },
    {
      "name": "Xue-Jia Yu"
    },
    {
      "name": "Ching Hua Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/14wqm96adbfak.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07831",
  "fulltext_url": null,
  "id": "14wqm96adbfak",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07831",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7212076901",
  "pdf_url": "https://arxiv.org/pdf/2609.07831",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/14wqm96adbfak.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.07831",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07831"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Realization of decoherence-induced averaged symmetry-protected topological phases on quantum processors",
  "title_text": "Realization of decoherence-induced averaged symmetry-protected topological phases on quantum processors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/14wqm96adbfak",
  "venue": "arXiv",
  "versions": []
}