{
 "slug": "rccx",
 "title": "Margolus",
 "symbol": "\\mathrm{RCC}X",
 "aliases": [
  "rccx",
  "margolus"
 ],
 "notations": [
  "\\mathrm{RCCX}",
  "\\widetilde{\\mathrm{CC}X}"
 ],
 "description": "Simplified Toffoli gate, equal to the Toffoli up to a $-1$ phase on $|101\\rangle$, costing only three CNOTs.",
 "arity": 3,
 "dimension": 2,
 "matrix": [
  [
   1,
   0,
   0,
   0,
   0,
   0,
   0,
   0
  ],
  [
   0,
   1,
   0,
   0,
   0,
   0,
   0,
   0
  ],
  [
   0,
   0,
   1,
   0,
   0,
   0,
   0,
   0
  ],
  [
   0,
   0,
   0,
   1,
   0,
   0,
   0,
   0
  ],
  [
   0,
   0,
   0,
   0,
   1,
   0,
   0,
   0
  ],
  [
   0,
   0,
   0,
   0,
   0,
   -1,
   0,
   0
  ],
  [
   0,
   0,
   0,
   0,
   0,
   0,
   0,
   1
  ],
  [
   0,
   0,
   0,
   0,
   0,
   0,
   1,
   0
  ]
 ],
 "groups": [
  "orthogonal"
 ],
 "properties": [
  "hermitian"
 ],
 "url": "/gates/rccx/"
}