{
 "slug": "xy",
 "title": "XY Interaction",
 "symbol": "\\mathrm{XY}",
 "aliases": [
  "xy",
  "xx-plus-yy"
 ],
 "notations": [
  "\\mathrm{XY}(\\theta)",
  "R_{xx+yy}(\\theta)",
  "\\mathrm{PISWAP}(\\theta)"
 ],
 "description": "Partial iSWAP generated by the $XX + YY$ exchange interaction, rotating within the single-excitation subspace.",
 "arity": 2,
 "dimension": 2,
 "params": {
  "theta": {
   "label": "\\theta",
   "default": "1",
   "range": [
    0,
    4
   ]
  }
 },
 "matrix": [
  [
   1,
   0,
   0,
   0
  ],
  [
   0,
   "cos(theta/2)",
   "i sin(theta/2)",
   0
  ],
  [
   0,
   "i sin(theta/2)",
   "cos(theta/2)",
   0
  ],
  [
   0,
   0,
   0,
   1
  ]
 ],
 "groups": [
  "matchgate",
  "number-preserving"
 ],
 "properties": [],
 "url": "/gates/xy/"
}