{
  "id": "2506.18211",
  "version": "v1",
  "published": "2025-06-23T00:17:35.000Z",
  "updated": "2025-06-23T00:17:35.000Z",
  "title": "Measures from conical 2-designs depend only on two constants",
  "authors": [
    "Katarzyna Siudzińska"
  ],
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Quantum measurements are important tools in quantum information, represented by positive, operator-valued measures. A wide class of symmetric measurements is given via generalized equiangular measurements that form conical 2-designs. We show that only two positive constants are needed to fully characterize a variety of important quantum measures constructed from such operators. Examples are given for entropic uncertainty relations, the Brukner-Zeilinger invariants, quantum coherence, quantum concurrence, and the Schmidt-number criterion for entanglement detection.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-06-23T00:17:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entropic uncertainty relations",
      "important quantum measures",
      "important tools",
      "entanglement detection",
      "quantum information"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}