{
  "abstract": "Distilling high-dimensional entanglement under general asymmetric Pauli noise remains challenging. For the unprocessed qutrit single-carrier recurrence studied here, severe noise asymmetry can prevent the convergence condition from being satisfied. In this paper, we investigate carrier-assisted entanglement purification protocols, namely CAEPP and mCAEPP, first for two-qutrit systems, and show that the unprocessed single-carrier recurrence is bottlenecked by marginal $X$-error probabilities. To overcome this limitation, we introduce MUB-guided preprocessing that combines randomized inversion-pair symmetrization with deterministic maximum-line alignment. For any qutrit Pauli channel with initial fidelity $p_{00}>1/3$, we prove that, conditioned on successful syndrome outcomes, the MUB-adapted recurrence converges for every sufficiently large fixed carrier number and that its fixed-point fidelity approaches one in the subsequent large-carrier limit. We further extend the algebraic carrier-assisted framework and the asymmetric-noise bottleneck to arbitrary qudit dimensions, and show that in prime-power dimensions the finite-field preprocessing gives the sufficient threshold $p_{00}>1/d$. A certified equal-target comparison over a finite deterministic optimization domain further shows that neither the MUB-adapted strategy nor complete Pauli-label twirling uniformly dominates the other in finite-resource cost.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.20958",
  "author_total": 3,
  "authors": [
    {
      "name": "Zihua Song"
    },
    {
      "name": "Lin Chen"
    },
    {
      "name": "Yongge Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aqrgv3yapnw01.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.20958",
  "fulltext_url": null,
  "id": "aqrgv3yapnw01",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.20958",
  "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": "W7161979451",
  "pdf_url": "https://arxiv.org/pdf/2605.20958",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aqrgv3yapnw01.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2605.20958",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.20958"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "High-Dimensional Carrier-Assisted Entanglement Purification Based on Mutually Unbiased Bases",
  "title_text": "High-Dimensional Carrier-Assisted Entanglement Purification Based on Mutually Unbiased Bases",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/aqrgv3yapnw01",
  "venue": "arXiv",
  "versions": []
}