{
 "slug": "cy",
 "title": "Controlled-Y",
 "symbol": "\\mathrm{C}Y",
 "aliases": [
  "cy"
 ],
 "notations": [
  "\\Lambda(Y)",
  "\\text{controlled-}Y"
 ],
 "description": "Applies $Y$ to the target qubit when the control qubit is in the $|1\\rangle$ state.",
 "arity": 2,
 "dimension": 2,
 "matrix": [
  [
   1,
   0,
   0,
   0
  ],
  [
   0,
   1,
   0,
   0
  ],
  [
   0,
   0,
   0,
   "-i"
  ],
  [
   0,
   0,
   "i",
   0
  ]
 ],
 "groups": [
  "clifford"
 ],
 "properties": [
  "hermitian"
 ],
 "url": "/gates/cy/"
}