{
 "slug": "pauli-x",
 "title": "Pauli-X",
 "symbol": "X",
 "aliases": [
  "x"
 ],
 "notations": [
  "X",
  "\\sigma_x",
  "\\sigma^x",
  "\\sigma_1",
  "\\mathrm{NOT}"
 ],
 "description": "Bit-flip gate that swaps $|0\\rangle$ and $|1\\rangle$.",
 "arity": 1,
 "dimension": 2,
 "matrix": [
  [
   0,
   1
  ],
  [
   1,
   0
  ]
 ],
 "groups": [
  "pauli",
  "clifford",
  "orthogonal",
  "permutation"
 ],
 "properties": [
  "hermitian"
 ],
 "url": "/gates/pauli-x/"
}