{
 "slug": "hadamard",
 "title": "Hadamard",
 "symbol": "H",
 "aliases": [
  "h"
 ],
 "notations": [],
 "description": "Maps computational basis states to equal superpositions and swaps the $X$ and $Z$ bases.",
 "arity": 1,
 "dimension": 2,
 "matrix": [
  [
   "1/sqrt(2)",
   "1/sqrt(2)"
  ],
  [
   "1/sqrt(2)",
   "-1/sqrt(2)"
  ]
 ],
 "groups": [
  "clifford",
  "orthogonal"
 ],
 "properties": [
  "hermitian"
 ],
 "url": "/gates/hadamard/"
}