{
 "slug": "cnot",
 "title": "Controlled Not",
 "symbol": "\\mathrm{C}X",
 "aliases": [
  "cx"
 ],
 "notations": [
  "\\mathrm{C}X",
  "\\mathrm{CNOT}",
  "\\mathrm{CNOT}_{ij}",
  "\\text{controlled-}X",
  "\\Lambda(X)",
  "\\mathrm{XOR}[i, j]"
 ],
 "description": "Flips 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,
   1
  ],
  [
   0,
   0,
   1,
   0
  ]
 ],
 "groups": [
  "clifford",
  "orthogonal",
  "permutation"
 ],
 "properties": [
  "hermitian"
 ],
 "url": "/gates/cnot/"
}