{
 "slug": "cs",
 "title": "Controlled-S",
 "symbol": "\\mathrm{C}S",
 "aliases": [
  "cs"
 ],
 "notations": [
  "\\Lambda(S)",
  "\\sqrt{\\mathrm{C}Z}",
  "\\mathrm{CP}(\\pi/2)"
 ],
 "description": "Applies a phase of $i$ to the $|11\\rangle$ state, the square root of controlled-$Z$.",
 "arity": 2,
 "dimension": 2,
 "matrix": [
  [
   1,
   0,
   0,
   0
  ],
  [
   0,
   1,
   0,
   0
  ],
  [
   0,
   0,
   1,
   0
  ],
  [
   0,
   0,
   0,
   "i"
  ]
 ],
 "groups": [
  "diagonal",
  "number-preserving"
 ],
 "properties": [],
 "url": "/gates/cs/"
}