{
 "slug": "r",
 "title": "Phased Rotation",
 "symbol": "R(\\theta, \\phi)",
 "aliases": [
  "r",
  "phased-x"
 ],
 "notations": [
  "R(\\theta, \\phi)",
  "R_\\phi(\\theta)",
  "\\mathrm{PhasedX}"
 ],
 "description": "Rotation by $\\theta$ about the equatorial Bloch-sphere axis at azimuthal angle $\\phi$.",
 "arity": 1,
 "dimension": 2,
 "params": {
  "theta": {
   "label": "\\theta",
   "default": "1/2",
   "range": [
    0,
    2
   ]
  },
  "phi": {
   "label": "\\phi",
   "default": "1/4",
   "range": [
    0,
    4
   ]
  }
 },
 "matrix": [
  [
   "cos(theta/2)",
   "-i exp(-i phi) sin(theta/2)"
  ],
  [
   "-i exp(i phi) sin(theta/2)",
   "cos(theta/2)"
  ]
 ],
 "groups": [],
 "properties": [],
 "url": "/gates/r/"
}