{
 "slug": "crz",
 "title": "Controlled z Rotation",
 "symbol": "\\mathrm{C}R_z",
 "aliases": [
  "crz"
 ],
 "notations": [
  "\\mathrm{CR}_z(\\theta)",
  "\\Lambda(R_z(\\theta))"
 ],
 "description": "Rotates the target about the $z$ axis by $\\theta$ when the control qubit is in the $|1\\rangle$ state.",
 "arity": 2,
 "dimension": 2,
 "params": {
  "theta": {
   "label": "\\theta",
   "default": "1",
   "range": [
    0,
    4
   ]
  }
 },
 "matrix": [
  [
   1,
   0,
   0,
   0
  ],
  [
   0,
   1,
   0,
   0
  ],
  [
   0,
   0,
   "exp(-i theta/2)",
   0
  ],
  [
   0,
   0,
   0,
   "exp(i theta/2)"
  ]
 ],
 "groups": [
  "diagonal",
  "number-preserving"
 ],
 "properties": [],
 "url": "/gates/crz/"
}