{
 "slug": "u3",
 "title": "U3",
 "symbol": "U_3",
 "aliases": [
  "u3"
 ],
 "notations": [
  "U_3(\\theta, \\phi, \\lambda)",
  "\\mathrm{U3}(\\theta, \\phi, \\lambda)",
  "U(\\theta, \\phi, \\lambda)"
 ],
 "description": "General single-qubit gate parameterized by three Euler angles.",
 "arity": 1,
 "dimension": 2,
 "params": {
  "theta": {
   "label": "\\theta",
   "default": "1/3",
   "range": [
    0,
    2
   ]
  },
  "phi": {
   "label": "\\phi",
   "default": "1/4",
   "range": [
    0,
    4
   ]
  },
  "lambda": {
   "label": "\\lambda",
   "default": "1/6",
   "range": [
    0,
    6
   ]
  }
 },
 "matrix": [
  [
   "cos(theta/2)",
   "-exp(i lambda) sin(theta/2)"
  ],
  [
   "exp(i phi) sin(theta/2)",
   "exp(i (phi+lambda)) cos(theta/2)"
  ]
 ],
 "groups": [],
 "properties": [],
 "url": "/gates/u3/"
}