{
 "slug": "ry",
 "title": "y Rotation",
 "symbol": "R_y",
 "aliases": [],
 "notations": [
  "R_y(\\theta)",
  "\\mathrm{Ry}(\\theta)",
  "Y(\\theta)",
  "Y_\\theta"
 ],
 "description": "Rotation about the $y$ axis of the Bloch sphere.",
 "arity": 1,
 "dimension": 2,
 "params": {
  "theta": {
   "label": "\\theta",
   "default": "1/2",
   "range": [
    0,
    2
   ]
  }
 },
 "matrix": [
  [
   "cos(theta/2)",
   "-sin(theta/2)"
  ],
  [
   "sin(theta/2)",
   "cos(theta/2)"
  ]
 ],
 "groups": [
  "orthogonal"
 ],
 "properties": [],
 "url": "/gates/ry/"
}