{
  "id": "2210.11462",
  "version": "v1",
  "published": "2022-10-20T17:57:06.000Z",
  "updated": "2022-10-20T17:57:06.000Z",
  "title": "Local lower bounds on characteristics of quantum and classical systems",
  "authors": [
    "M. E. Shirokov"
  ],
  "comment": "33 pages, preliminary version, any comments and references are welcome",
  "categories": [
    "quant-ph",
    "cs.IT",
    "math-ph",
    "math.IT",
    "math.MP"
  ],
  "abstract": "We consider methods of obtaining local lower bounds on characteristics of quantum (correspondingly, classical) systems, i.e. lower bounds valid in the trace norm $\\epsilon$-neighborhood of a given state (correspondingly, probability distribution). The main attention is paid to infinite-dimensional systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-20T17:57:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical systems",
      "characteristics",
      "obtaining local lower bounds",
      "lower bounds valid",
      "infinite-dimensional systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}