{
  "annotation_id": "b61c9bae-e11e-42a9-986c-bb1540c9e0d3",
  "date_created": "2026-03-02T18:02:30.972000Z",
  "date_modified": "2026-03-02T18:02:30.972000Z",
  "file_hash": "4d59da50873ff421dd204412a8ca0896745b4f90bdfc57746b751066567f156d",
  "private": false,
  "record": {
    "abstract": "We present a novel, detailed study on the usefulness of three-mode Gaussian\nstates states for realistic processing of continuous-variable quantum\ninformation, with a particular emphasis on the possibilities opened up by their\ngenuine tripartite entanglement. We describe practical schemes to engineer\nseveral classes of pure and mixed three-mode states that stand out for their\ninformational and/or entanglement properties. In particular, we introduce a\nsimple procedure -- based on passive optical elements -- to produce pure\nthree-mode Gaussian states with {\\em arbitrary} entanglement structure (upon\navailability of an initial two-mode squeezed state). We analyze in depth the\nproperties of distributed entanglement and the origin of its sharing structure,\nshowing that the promiscuity of entanglement sharing is a feature peculiar to\nsymmetric Gaussian states that survives even in the presence of significant\ndegrees of mixedness and decoherence. Next, we discuss the suitability of the\nconsidered tripartite entangled states to the implementation of quantum\ninformation and communication protocols with continuous variables. This will\nlead to a feasible experimental proposal to test the promiscuous sharing of\ncontinuous-variable tripartite entanglement, in terms of the optimal fidelity\nof teleportation networks with Gaussian resources. We finally focus on the\napplication of three-mode states to symmetric and asymmetric telecloning, and\nsingle out the structural properties of the optimal Gaussian resources for the\nlatter protocol in different settings. Our analysis aims to lay the basis for a\npractical quantum communication with continuous variables beyond the bipartite\nscenario.",
    "arxiv_id": "quant-ph/0609071",
    "authors": [
      "Gerardo Adesso",
      "Alessio Serafini",
      "Fabrizio Illuminati"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "doi": "10.1088/1367-2630/9/3/060",
    "journal_ref": "New J. Phys. 9, 60 (2007)",
    "title": "Optical state engineering, quantum communication, and robustness of   entanglement promiscuity in three-mode Gaussian states",
    "url": "https://arxiv.org/abs/quant-ph/0609071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "593262bf-cfa2-48a5-a81b-eca7ca9b4aa8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}