{
 "slug": "pauli-z",
 "title": "Pauli-Z",
 "symbol": "Z",
 "aliases": [
  "z"
 ],
 "notations": [
  "Z",
  "\\sigma_z",
  "\\sigma^z",
  "\\sigma_3"
 ],
 "description": "Phase-flip gate that leaves $|0\\rangle$ unchanged and flips the phase of $|1\\rangle$.",
 "arity": 1,
 "dimension": 2,
 "matrix": [
  [
   1,
   0
  ],
  [
   0,
   -1
  ]
 ],
 "groups": [
  "pauli",
  "clifford",
  "diagonal",
  "orthogonal",
  "number-preserving"
 ],
 "properties": [
  "hermitian"
 ],
 "url": "/gates/pauli-z/"
}