{
  "annotation_id": "38cf660c-c409-4419-88cf-3240b0ece28a",
  "date_created": "2026-02-17T05:53:08.764000Z",
  "date_modified": "2026-02-17T05:53:08.764000Z",
  "file_hash": "36de5c674c088b557855327594d4cec44da988c1d7cfb83ceb62e21057ae8a17",
  "private": false,
  "record": {
    "abstract": "We investigate the entanglement structure of bipartite two-qutrit pure states from both geometric and operational perspectives.Using the eigenvalues of the reduced density matrix, we analyze how symmetric polynomials characterize pairwise and genuinely three-level correlations. We show that the determinant of the coefficient matrix defines a natural, rank-sensitive geometric invariant that vanishes for all rank-2 states and is nonzero only for rank-3 entangled states. An explicit analytic constraint relating this determinant-based invariant to the I-concurrence is derived, thereby defining the physically accessible region of two-qutrit states in invariant space. Furthermore, we establish an operational correspondence with three-path optical interferometry and analyze conditional visibility and predictability in a qutrit quantum erasure protocol, including the effects of unequal path transmittances. Numerical demonstrations confirm the analytic results and the associated complementarity relations. These findings provide a unified geometric and operational framework for understanding two-qutrit entanglement.",
    "arxiv_id": "2601.06783",
    "authors": [
      "Ankita Jana"
    ],
    "categories": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Geometric and Operational Characterization of Two-Qutrit Entanglement",
    "url": "https://arxiv.org/abs/2601.06783",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f30fa641-c84d-4892-bb27-ad7bb78e5be8",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}