{
  "annotation_id": "4b8f8ce8-194d-42d3-8c3a-cfda2a493406",
  "date_created": "2026-02-17T05:53:04.816000Z",
  "date_modified": "2026-02-17T05:53:04.816000Z",
  "file_hash": "78e988278ea1fbdfb1bce955335b4b32a1258010f85170c2a5c62abd46d13ad0",
  "private": false,
  "record": {
    "abstract": "We propose a quantum distance measure between probability distributions encoded in quantum states based on the fragility of quantum interference under entangling evolution. The Quantum Interference-Induced Bhattacharyya Distance (QIBD) is defined through a single-ancilla interferometric circuit in which an interaction Hamiltonian generates correlation-dependent phases that modulate interference visibility. When the interaction vanishes, QIBD reduces to the classical Bhattacharyya distance; however, for entangling interactions, it cannot be expressed as a function of fidelity alone. Numerical simulations demonstrate that QIBD responds to correlation structure in ways that overlap-based measures do not, suggesting potential utility in contexts where interaction-aligned correlations are physically relevant.",
    "arxiv_id": "2601.05749",
    "authors": [
      "Mostafizur Rahaman Laskar"
    ],
    "categories": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Quantum Interference-Induced Bhattacharyya Distance",
    "url": "https://arxiv.org/abs/2601.05749",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "557b1c59-b532-458a-96de-440fcf8602be",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}