{
 "slug": "ch",
 "title": "Controlled-Hadamard",
 "symbol": "\\mathrm{C}H",
 "aliases": [
  "ch"
 ],
 "notations": [
  "\\Lambda(H)",
  "\\text{controlled-}H"
 ],
 "description": "Applies a Hadamard 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,
   "1/sqrt(2)",
   "1/sqrt(2)"
  ],
  [
   0,
   0,
   "1/sqrt(2)",
   "-1/sqrt(2)"
  ]
 ],
 "groups": [
  "orthogonal"
 ],
 "properties": [
  "hermitian"
 ],
 "url": "/gates/ch/"
}