{
 "slug": "rz",
 "title": "z Rotation",
 "symbol": "R_z",
 "aliases": [],
 "notations": [
  "R_z(\\theta)",
  "\\mathrm{Rz}(\\theta)",
  "Z(\\theta)",
  "Z_\\theta"
 ],
 "description": "Rotation about the $z$ axis of the Bloch sphere.",
 "arity": 1,
 "dimension": 2,
 "params": {
  "theta": {
   "label": "\\theta",
   "default": "1/2",
   "range": [
    0,
    2
   ]
  }
 },
 "matrix": [
  [
   "exp(-i theta/2)",
   0
  ],
  [
   0,
   "exp(i theta/2)"
  ]
 ],
 "groups": [
  "diagonal",
  "number-preserving"
 ],
 "properties": [],
 "url": "/gates/rz/"
}