{
 "slug": "u2",
 "title": "U2",
 "symbol": "U_2",
 "aliases": [
  "u2"
 ],
 "notations": [
  "U_2(\\phi, \\lambda)",
  "\\mathrm{U2}(\\phi, \\lambda)"
 ],
 "description": "Legacy IBM gate performing a fixed $\\pi/2$ rotation dressed by two $z$ rotations, $U_2(\\phi, \\lambda) = U_3(\\pi/2, \\phi, \\lambda)$.",
 "arity": 1,
 "dimension": 2,
 "params": {
  "phi": {
   "label": "\\phi",
   "default": "1/2",
   "range": [
    0,
    2
   ]
  },
  "lambda": {
   "label": "\\lambda",
   "default": "1/4",
   "range": [
    0,
    4
   ]
  }
 },
 "matrix": [
  [
   "1/sqrt(2)",
   "-exp(i lambda)/sqrt(2)"
  ],
  [
   "exp(i phi)/sqrt(2)",
   "exp(i (phi+lambda))/sqrt(2)"
  ]
 ],
 "groups": [],
 "properties": [],
 "url": "/gates/u2/"
}