{
 "slug": "magic",
 "title": "Magic",
 "symbol": "M",
 "aliases": [
  "m"
 ],
 "notations": [
  "\\mathcal{M}",
  "Q",
  "E"
 ],
 "description": "Changes from the computational basis to the magic (Bell) basis used in two-qubit local invariants.",
 "arity": 2,
 "dimension": 2,
 "matrix": [
  [
   "1/sqrt(2)",
   "i/sqrt(2)",
   0,
   0
  ],
  [
   0,
   0,
   "i/sqrt(2)",
   "1/sqrt(2)"
  ],
  [
   0,
   0,
   "i/sqrt(2)",
   "-1/sqrt(2)"
  ],
  [
   "1/sqrt(2)",
   "-i/sqrt(2)",
   0,
   0
  ]
 ],
 "groups": [
  "clifford"
 ],
 "properties": [],
 "url": "/gates/magic/"
}