{
  "id": "2103.07481",
  "version": "v1",
  "published": "2021-03-12T19:00:04.000Z",
  "updated": "2021-03-12T19:00:04.000Z",
  "title": "Transitions in entanglement complexity in random quantum circuits by measurements",
  "authors": [
    "Salvatore F. E. Oliviero",
    "Lorenzo Leone",
    "Alioscia Hamma"
  ],
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Random Clifford circuits doped with non Clifford gates exhibit transitions to universal entanglement spectrum statistics[1] and quantum chaotic behavior. In [2] we proved that the injection of $O(n)$ non Clifford gates into a $n-$qubit Clifford circuit drives the transition towards the universal value of the purity fluctuations. In this paper, we show that doping a Clifford circuit with $O(n)$ single qubit non Clifford measurements is both necessary and sufficient to drive the transition to universal fluctuations of the purity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-12T19:00:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random quantum circuits",
      "entanglement complexity",
      "transition",
      "non clifford gates",
      "single qubit non clifford measurements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}