{
  "id": "2210.11957",
  "version": "v1",
  "published": "2022-10-21T13:32:02.000Z",
  "updated": "2022-10-21T13:32:02.000Z",
  "title": "Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits",
  "authors": [
    "Piotr Sierant",
    "Marco Schirò",
    "Maciej Lewenstein",
    "Xhek Turkeshi"
  ],
  "comment": "19pp, 16 figs, comments welcome!",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "The interplay between unitary dynamics and local quantum measurements results in unconventional non-unitary dynamical phases and transitions. In this paper we investigate the dynamics of $(d+1)$-dimensional hybrid stabilizer circuits, for $d=1,2,3$. We characterize the measurement-induced phases and their transitions using large-scale numerical simulations focusing on entanglement measures, purification dynamics, and wave-function structure. Our findings demonstrate the measurement-induced transition in $(d+1)$ spatiotemporal dimensions is conformal and close to the percolation transition in $(d+1)$ spatial dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-21T13:32:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional stabilizer circuits",
      "measurement-induced phase transitions",
      "local quantum measurements results",
      "dimensional hybrid stabilizer circuits",
      "unconventional non-unitary dynamical phases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}