{
 "slug": "global-phase",
 "title": "Global Phase",
 "symbol": "\\mathrm{Ph}",
 "aliases": [
  "gphase",
  "ph"
 ],
 "notations": [
  "\\mathrm{e}^{i\\phi}",
  "\\mathrm{e}^{i\\phi} I"
 ],
 "description": "Multiplies the entire quantum state by an overall phase factor.",
 "arity": "n",
 "dimension": 2,
 "params": {
  "phi": {
   "label": "\\phi",
   "default": "1/2",
   "range": [
    0,
    2
   ]
  }
 },
 "matrix": [
  [
   "exp(i phi)",
   0
  ],
  [
   0,
   "exp(i phi)"
  ]
 ],
 "matrix_note": "n = 1",
 "groups": [
  "diagonal",
  "number-preserving"
 ],
 "properties": [],
 "url": "/gates/global-phase/"
}