{
 "slug": "molmer-sorenson",
 "title": "Mølmer-Sørensen",
 "symbol": "MS",
 "aliases": [],
 "notations": [
  "\\mathrm{MS}",
  "\\mathrm{MS}(\\chi_{ij})",
  "\\mathrm{GMS}"
 ],
 "description": "A native entangling interaction in ion-trap systems based on collective spin-motion coupling.",
 "arity": "n",
 "dimension": 2,
 "params": {
  "chi": {
   "label": "\\chi",
   "default": "1/2",
   "range": [
    0,
    2
   ]
  }
 },
 "matrix": [
  [
   "cos(chi/2)",
   0,
   0,
   "-i sin(chi/2)"
  ],
  [
   0,
   "cos(chi/2)",
   "-i sin(chi/2)",
   0
  ],
  [
   0,
   "-i sin(chi/2)",
   "cos(chi/2)",
   0
  ],
  [
   "-i sin(chi/2)",
   0,
   0,
   "cos(chi/2)"
  ]
 ],
 "matrix_note": "n = 2",
 "groups": [],
 "properties": [],
 "url": "/gates/molmer-sorenson/"
}