{
  "abstract": "The concept of causal (non)separability describes whether the causal order between parties that perform local quantum operations is well-defined or indefinite. Causal (non)separability in the general multipartite setting was introduced and studied in [Oreshkov and Giarmatzi, New J. Phys. 18, 093020 (2016); Wechs, Abbott, and Branciard, New J. Phys. 21, 013027 (2019)]. We resolve an open problem from these earlier works by showing -- using a novel \"coherent teleportation technique\" -- that a sufficient condition for causal separability identified in [Wechs, Abbott, and Branciard, New J. Phys. 21, 013027 (2019)] is also necessary, and thus provides a complete characterisation of multipartite causal separability. A consequence of this result is that all causally separable processes admit a realisation as generalised quantum circuits in which the order between the operations is classically controlled, known as \"quantum circuits with classical control of causal order\".",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20774",
  "author_total": 3,
  "authors": [
    {
      "name": "Julian Wechs"
    },
    {
      "name": "Alastair A. Abbott"
    },
    {
      "name": "Cyril Branciard"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3vrjg6vgkygas.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20774",
  "fulltext_url": null,
  "id": "3vrjg6vgkygas",
  "issns": [],
  "landing_url": "https://inria.hal.science/hal-05759336v1",
  "language": "en",
  "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"
    ],
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.phys.qphy"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7213590776",
  "pdf_url": "https://arxiv.org/pdf/2609.20774",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3vrjg6vgkygas.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:37Z",
      "native_id": "hal-05759336",
      "source": "hal",
      "url": "https://inria.hal.science/hal-05759336v1"
    },
    {
      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2609.20774",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20774"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "All causally separable quantum processes are quantum circuits with classical control of causal order",
  "title_text": "All causally separable quantum processes are quantum circuits with classical control of causal order",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:19Z",
  "url": "https://research.draconitic.com/paper/3vrjg6vgkygas",
  "venue": "HAL",
  "versions": []
}