{
 "slug": "b",
 "title": "B Gate",
 "symbol": "B",
 "aliases": [],
 "notations": [],
 "description": "Two-qubit entangling gate that can synthesize arbitrary elements of $U(4)$ with only two applications.",
 "arity": 2,
 "dimension": 2,
 "matrix": [
  [
   "(cos(pi/8)+sin(pi/8))/sqrt(2)",
   0,
   0,
   "i (cos(pi/8)-sin(pi/8))/sqrt(2)"
  ],
  [
   0,
   "(cos(pi/8)-sin(pi/8))/sqrt(2)",
   "i (cos(pi/8)+sin(pi/8))/sqrt(2)",
   0
  ],
  [
   0,
   "i (cos(pi/8)+sin(pi/8))/sqrt(2)",
   "(cos(pi/8)-sin(pi/8))/sqrt(2)",
   0
  ],
  [
   "i (cos(pi/8)-sin(pi/8))/sqrt(2)",
   0,
   0,
   "(cos(pi/8)+sin(pi/8))/sqrt(2)"
  ]
 ],
 "groups": [
  "matchgate"
 ],
 "properties": [],
 "url": "/gates/b/"
}