{
  "annotation_id": "0d567e66-3868-4178-b9fd-6419beac5ee0",
  "date_created": "2026-03-02T18:02:31.249000Z",
  "date_modified": "2026-03-02T18:02:31.249000Z",
  "file_hash": "7e42234c7afd532bcb0a0a9741736baa1f77b286bcfdc357201226587d33ada6",
  "private": false,
  "record": {
    "abstract": "Given a quantum channel $\\Phi $ in a Hilbert space $H$ put $\\hat\nH_{\\Phi}(\\rho)=\\min \\limits_{\\rho_{av}=\\rho}\\Sigma_{j=1}^{k}\\pi_{j}S(\\Phi\n(\\rho_{j}))$, where $\\rho_{av}=\\Sigma_{j=1}^{k}\\pi_{j}\\rho_{j}$, the minimum is\ntaken over all probability distributions $\\pi =\\{\\pi_{j}\\}$ and states\n$\\rho_{j}$ in $H$, $S(\\rho)=-Tr\\rho\\log\\rho$ is the von Neumann entropy of a\nstate $\\rho$. The strong superadditivity conjecture states that $\\hat H_{\\Phi\n\\otimes \\Psi}(\\rho)\\ge \\hat H_{\\Phi}(Tr_{K}(\\rho))+\\hat H_{\\Psi}(Tr_{H}(\\rho))$\nfor two channels $\\Phi $ and $\\Psi $ in Hilbert spaces $H$ and $K$,\nrespectively. We have proved the strong superadditivity conjecture for the\nquantum depolarizing channel in prime dimensions. The estimation of the\nquantity $\\hat H_{\\Phi\\otimes \\Psi}(\\rho)$ for the special class of Weyl\nchannels $\\Phi $ of the form $\\Phi=\\Xi \\circ \\Phi_{dep}$, where $\\Phi_{dep}$ is\nthe quantum depolarizing channel and $\\Xi $ is the phase damping is given.",
    "arxiv_id": "quant-ph/0610098",
    "authors": [
      "Grigori Amosov"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "On strong superadditivity for a class of quantum channels",
    "url": "https://arxiv.org/abs/quant-ph/0610098"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c2e9a839-efd6-41c3-acbc-48dccb40bef0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}