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number {\n    return Math.sqrt(this.realPart ** 2 + this.imaginaryPart ** 2);\n  }\n\n  conjugate(): Complex {\n    return new Complex(this.realPart, -this.imaginaryPart);\n  }\n}\n\n","import Complex from \"../Complex\"\n\nexport default class QMatrix {\n  matrix: Complex[][];\n\n  constructor(matrix: (number | Complex)[][]) {\n    this.matrix = matrix.map(row =>\n      row.map(value =>\n        value instanceof Complex ? value : new Complex(value, 0)\n      )\n    );\n  }\n\n  get rows(): number {\n    return this.matrix.length;\n  }\n  \n  get cols(): number {\n    return this.matrix[0].length;\n  }\n\n  add(other: QMatrix): QMatrix {\n    if (this.rows !== other.rows || this.cols !== other.cols) {\n      throw new Error(\"Matrices must have the same dimensions for addition\");\n    }\n\n    const result = this.matrix.map((row, i) =>\n      row.map((value, j) => value.add(other.matrix[i][j]))\n    );\n\n    return new QMatrix(result);\n  }\n\n  multiply(other: QMatrix): QMatrix {\n    if (this.cols !== other.rows) {\n      throw new Error(\"Incompatible matrix sizes for multiplication\");\n    }\n\n    const result: Complex[][] = Array.from({ length: this.rows }, () =>\n      Array.from({ length: other.cols }, () => new Complex(0, 0))\n    );\n    \n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < other.cols; j++) {\n        for (let k = 0; k < this.cols; k++) {\n          result[i][j] = result[i][j].add(this.matrix[i][k].multiply(other.matrix[k][j]));\n        }\n      }\n    }\n\n    return new QMatrix(result);\n  }\n\n\n  toString(digits?: number): string {\n    return this.matrix\n      .map(row => row.map(value => value.toString(digits)).join(\"\\t\"))\n      .join(\"\\n\");\n  }\n\n  scale(scalar: Complex | number): QMatrix {\n    const scalarComplex = scalar instanceof Complex ? scalar : new Complex(scalar, 0);\n    const result = this.matrix.map(row =>\n      row.map(value => value.multiply(scalarComplex))\n    );\n    return new QMatrix(result);\n  }\n\n  conjugate(): QMatrix {\n    const result = this.matrix.map(row =>\n      row.map(value => value.conjugate())\n    );\n    return new QMatrix(result);\n  }\n\n  transpose(): QMatrix {\n    const result: Complex[][] = Array.from({ length: this.cols }, () =>\n      Array.from({ length: this.rows }, () => new Complex(0, 0))\n    );\n\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.cols; j++) {\n        result[j][i] = this.matrix[i][j];\n      }\n    }\n\n    return new QMatrix(result);\n  }\n\n  dagger(): QMatrix {\n    return this.conjugate().transpose();\n  }\n\n  trace(): Complex {\n    let trace = new Complex(0, 0);\n    for (let i = 0; i < Math.min(this.rows, this.cols); i++) {\n      trace = trace.add(this.matrix[i][i]);\n    }\n    return trace;\n  }\n\n}","import Complex from \"../Complex\";\nimport QMatrix from \"../QMatrix\";\n// import QGate from \"../QGate\";\n\nexport default class Constant {\n  static readonly PI = Math.PI;\n  static readonly E = Math.E;\n  // identity matrix for 2x2\n  static readonly IDENTITY_2x2 = new QMatrix([\n    [1, 0],\n    [0, 1],\n  ]);\n  // identity matrix for 3x3\n  static readonly IDENTITY_3x3 = new QMatrix([\n    [1, 0, 0],\n    [0, 1, 0],\n    [0, 0, 1],\n  ]);\n  // identity matrix for 4x4\n  static readonly IDENTITY_4x4 = new QMatrix([\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n  ]);\n\n  static readonly identity = (dim: number) => {\n    return new QMatrix(\n      Array.from({ length: dim }, (_, i) =>\n        Array.from({ length: dim }, (_, j) => (i === j ? 1 : 0))\n      )\n    );\n  };\n\n  static readonly zero = (dim: number) => {\n    return new QMatrix(\n      Array.from({ length: dim }, () =>\n        Array.from({ length: dim }, () => 0)\n      )\n    );\n  };\n\n  // zero matrix for 2x2\n  static readonly ZERO_2x2 = new QMatrix([\n    [0, 0],\n    [0, 0],\n  ]);\n  // zero matrix for 3x3\n  static readonly ZERO_3x3 = new QMatrix([\n    [0, 0, 0],\n    [0, 0, 0],\n    [0, 0, 0],\n  ]);\n  // zero matrix for 4x4\n  static readonly ZERO_4x4 = new QMatrix([\n    [0, 0, 0, 0],\n    [0, 0, 0, 0],\n    [0, 0, 0, 0],\n    [0, 0, 0, 0],\n  ]);\n\n  // common complex numbers\n  static readonly COMPLEX_I = new Complex(0, 1);\n  static readonly COMPLEX_ONE = new Complex(1, 0);\n  static readonly COMPLEX_ZERO = new Complex(0, 0);\n\n  // pauli matrices\n  static readonly PAULI_X = new QMatrix([\n    [0, 1],\n    [1, 0],\n  ]);\n  static readonly PAULI_Y = new QMatrix([\n    [new Complex(0, 0), new Complex(0, -1)],\n    [new Complex(0, 1), new Complex(0, 0)],\n  ]);\n  static readonly PAULI_Z = new QMatrix([\n    [1, 0],\n    [0, -1],\n  ]);\n\n  //static readonly NOT_GATE = new QGate(Math.PI, [1, 0, 0]);\n}","import Complex from \"../Complex\";\nimport QMatrix from \"../QMatrix\";\nimport Constant from \"../Constant\";\n\nexport default class QState {\n  vector: Complex[];\n  column: boolean = true;\n\n  constructor(vector: number[] | Complex[], column: boolean = true) {\n    this.column = column;\n    this.vector = vector.map(value =>\n      value instanceof Complex ? value : new Complex(value, 0)\n    );\n  }\n\n  toString(digit?: number): string {\n    return `[${this.vector.map(value => value.toString(digit)).join(this.column ? \"\\n\" : \", \")}]`;\n  }\n\n  scale(scalar: Complex | number): QState {\n    const factor = scalar instanceof Complex ? scalar : new Complex(scalar, 0);\n    const scaledVector = this.vector.map(value => value.multiply(factor));\n    return new QState(scaledVector, this.column);\n  }\n\n  magnitude(): number {\n    let sum = 0;\n    for (const value of this.vector) {\n      sum += value.magnitude() ** 2;\n    }\n    return Math.sqrt(sum);\n  }\n\n  normalize(): QState {\n    const mag = this.magnitude();\n    if (mag === 0) {\n      throw new Error(\"Cannot normalize a zero vector\");\n    }\n    return this.scale(1 / mag);\n  }\n\n\n  transpose(): QState {\n    return new QState(this.vector, !this.column);\n  }\n\n  conjugate(): QState {\n    const conjugatedVector = this.vector.map(value => value.conjugate());\n    return new QState(conjugatedVector, this.column);\n  }\n\n  dagger(): QState {\n    return this.conjugate().transpose();\n  }\n\n  get isColumn(): boolean {\n    return this.column;\n  }\n\n  get values(): Complex[] | Complex[][] {\n    return this.vector;\n  }\n\n  applyMatrix(matrix: QMatrix): QState {\n    if (this.column) {\n      throw new Error(\"Matrix application is only defined for row vectors\");\n    }\n    if (matrix.cols !== this.vector.length) {\n      throw new Error(\"Incompatible sizes for matrix application\");\n    }\n\n    const result: Complex[] = Array.from({ length: matrix.rows }, () => new Complex(0, 0));\n\n    for (let i = 0; i < matrix.rows; i++) {\n      for (let j = 0; j < matrix.cols; j++) {\n        result[i] = result[i].add(matrix.matrix[j][i].multiply(this.vector[j]));\n      }\n    }\n\n    return new QState(result, false);\n  }\n\n  // <v1|v2>\n  applyState(state: QState): Complex {\n    if (this.column || !state.column) {\n      throw new Error(\"Incompatible sizes for state application\");\n    }\n    if (this.vector.length !== state.vector.length) {\n      throw new Error(\"State vectors must be of the same length for application\");\n    }\n\n    let result = new Complex(0, 0);\n    for (let i = 0; i < this.vector.length; i++) {\n      result = result.add(this.vector[i].multiply(state.vector[i]));\n    }\n\n    return result;\n  }\n\n  get xyz(): { x: number; y: number; z: number } {\n    if (!this.column) {\n      throw new Error(\"State vector must be a column vector to compute xyz coordinates\");\n    }\n    const dagger = this.dagger();\n    const x = dagger.applyMatrix(Constant.PAULI_X).applyState(this).realPart;\n    const y = dagger.applyMatrix(Constant.PAULI_Y).applyState(this).realPart;\n    const z = dagger.applyMatrix(Constant.PAULI_Z).applyState(this).realPart;\n\n    return { x, y, z };\n  }\n}\n","import Complex from \"../Complex\";\nimport QMatrix from \"../QMatrix\";\nimport QState from \"../QState\";\nimport Constant from \"../Constant\";\n\nexport default class QGate {\n  matrix: QMatrix;\n\n  constructor(theta: number = 0, n: [number, number, number] = [1, 0, 0]) {\n    const [nx, ny, nz] = n;\n    const magnitude = Math.sqrt(nx * nx + ny * ny + nz * nz);\n    if (magnitude === 0) {\n      throw new Error(\"Rotation axis vector cannot be zero\");\n    }\n    const [ux, uy, uz] = [nx / magnitude, ny / magnitude, nz / magnitude];\n    const cos = Math.cos(theta / 2);\n    const sin = -Math.sin(theta / 2);\n\n    const realPart = Constant.IDENTITY_2x2\n      .scale(new Complex(cos, 0))\n    const imaginaryPartX = Constant.PAULI_X\n      .scale(new Complex(0, ux * sin));\n    const imaginaryPartY = Constant.PAULI_Y\n      .scale(new Complex(0, uy * sin));\n    const imaginaryPartZ = Constant.PAULI_Z\n      .scale(new Complex(0, uz * sin));\n    this.matrix = realPart\n      .add(imaginaryPartX)\n      .add(imaginaryPartY)\n      .add(imaginaryPartZ);\n  }\n\n  setMatrix(matrix: QMatrix): QGate {\n    this.matrix = matrix;\n    return this;\n  }\n\n  dagger(): QGate {\n    const m = this.matrix.dagger();\n    const gate = new QGate(0, [1, 0, 0]); // temporary values\n    gate.setMatrix(m);\n    return gate;\n  }\n\n  conjugate(): QGate {\n    const m = this.matrix.conjugate();\n    const gate = new QGate(0, [1, 0, 0]); // temporary values\n    gate.setMatrix(m);\n    return gate;\n  }\n\n  transpose(): QGate {\n    const m = this.matrix.transpose();\n    const gate = new QGate(0, [1, 0, 0]); // temporary values\n    gate.setMatrix(m);\n    return gate;\n  }\n\n  apply(stateVector: QState): QState {\n    const resultVector = new Array<Complex>(this.matrix.rows).fill(new Complex(0, 0));\n\n    for (let i = 0; i < this.matrix.rows; i++) {\n      for (let j = 0; j < this.matrix.cols; j++) {\n        resultVector[i] = resultVector[i].add(\n          this.matrix.matrix[i][j].multiply(stateVector.vector[j])\n        );\n      }\n    }\n    return new QState(resultVector);\n  }\n\n  multiply(other: QGate): QGate {\n    const m = this.matrix.multiply(other.matrix);\n    const gate = new QGate(0, [1, 0, 0]); // temporary values\n    gate.setMatrix(m);\n    return gate;\n  }\n\n  trace(): Complex {\n    return this.matrix.trace();\n  }\n\n  fidelity(ideal: QGate): number {\n    const dim = this.matrix.rows;\n    const product = this.matrix.dagger().multiply(ideal.matrix);\n    const trace = product.trace();\n    const fidelity = trace.magnitude() / dim;\n    return fidelity;\n  }\n}","type RobustType = \"ple\" | \"ore\" | \"both\";\ntype Rep = \"ple\" | \"ore\" | false;\n\ntype Pulse = {\n  theta: (_theta: number, _phi: number) => number;\n  phi: (_theta: number, _phi: number) => number;\n  canReduce?: boolean;\n};\n\ntype CP = {\n  name: string;\n  robustType?: RobustType;\n  rep?: Rep;\n  pulse: Pulse[];\n};\n\nfunction scrofulousTheta(theta: number): number {\n  if (!Number.isFinite(theta) || theta <= 0 || theta > Math.PI) {\n    throw new RangeError(\"theta must be in (0, pi]\");\n  }\n  if (theta === Math.PI) return Math.PI;\n\n  const target = (2 * Math.cos(theta / 2)) / Math.PI;\n  let lo = Math.PI / 2;\n  let hi = Math.PI;\n\n  for (let i = 0; i < 50; i++) {\n    const mid = (lo + hi) / 2;\n    if (Math.sin(mid) / mid > target) {\n      lo = mid;\n    } else {\n      hi = mid;\n    }\n  }\n  return (lo + hi) / 2;\n}\n\nfunction scrofulousPhi(theta: number): number {\n  return Math.acos(\n    (-Math.PI * Math.cos(scrofulousTheta(theta))) /\n      (2 * scrofulousTheta(theta) * Math.sin(theta / 2)),\n  );\n}\n\nconst CPList: Record<string, CP> = {\n  plain: {\n    name: \"plain\",\n    pulse: [\n      {\n        theta: (_theta: number, _phi: number) => _theta,\n        phi: (_theta: number, _phi: number) => _phi,\n      },\n    ],\n  },\n  BB1: {\n    name: \"BB1\",\n    robustType: \"ple\",\n    rep: \"ore\",\n    pulse: [\n      {\n        canReduce: true,\n        theta: (_theta: number, _phi: number) => Math.PI,\n        phi: (_theta: number, _phi: number) =>\n          _phi + Math.acos(-_theta / (4 * Math.PI)),\n      },\n      {\n        canReduce: true,\n        theta: (_theta: number, _phi: number) => 2 * Math.PI,\n        phi: (_theta: number, _phi: number) =>\n          3 * (_phi + Math.acos(-_theta / (4 * Math.PI))) - 2 * _phi,\n      },\n      {\n        canReduce: true,\n        theta: (_theta: number, _phi: number) => Math.PI,\n        phi: (_theta: number, _phi: number) =>\n          _phi + Math.acos(-_theta / (4 * Math.PI)),\n      },\n      {\n        theta: (_theta: number, _phi: number) => _theta,\n        phi: (_theta: number, _phi: number) => _phi,\n      },\n    ],\n  },\n  SK1: {\n    name: \"SK1\",\n    robustType: \"ple\",\n    rep: \"ore\",\n    pulse: [\n      {\n        theta: (_theta: number, _phi: number) => _theta,\n        phi: (_theta: number, _phi: number) => _phi,\n      },\n      {\n        canReduce: true,\n        theta: (_theta: number, _phi: number) => 2 * Math.PI,\n        phi: (_theta: number, _phi: number) =>\n          _phi - Math.acos(-_theta / (4 * Math.PI)),\n      },\n      {\n        canReduce: true,\n        theta: (_theta: number, _phi: number) => 2 * Math.PI,\n        phi: (_theta: number, _phi: number) =>\n          _phi + Math.acos(-_theta / (4 * Math.PI)),\n      },\n    ],\n  },\n  CORPSE: {\n    name: \"CORPSE\",\n    robustType: \"ore\",\n    rep: \"ple\",\n    pulse: [\n      {\n        theta: (_theta: number, _phi: number) =>\n          2 * Math.PI + _theta / 2 - Math.asin(Math.sin(_theta / 2) / 2),\n        phi: (_theta: number, _phi: number) => _phi,\n      },\n      {\n        theta: (_theta: number, _phi: number) =>\n          2 * Math.PI - 2 * Math.asin(Math.sin(_theta / 2) / 2),\n        phi: (_theta: number, _phi: number) => _phi + Math.PI,\n      },\n      {\n        theta: (_theta: number, _phi: number) =>\n          _theta / 2 - Math.asin(Math.sin(_theta / 2) / 2),\n        phi: (_theta: number, _phi: number) => _phi,\n      },\n    ],\n  },\n  shortCORPSE: {\n    name: \"shortCORPSE\",\n    robustType: \"ore\",\n    rep: false,\n    pulse: [\n      {\n        theta: (_theta: number, _phi: number) =>\n          _theta / 2 - Math.asin(Math.sin(_theta / 2) / 2),\n        phi: (_theta: number, _phi: number) => _phi,\n      },\n      {\n        theta: (_theta: number, _phi: number) =>\n          2 * Math.PI - 2 * Math.asin(Math.sin(_theta / 2) / 2),\n        phi: (_theta: number, _phi: number) => _phi + Math.PI,\n      },\n      {\n        theta: (_theta: number, _phi: number) =>\n          _theta / 2 - Math.asin(Math.sin(_theta / 2) / 2),\n        phi: (_theta: number, _phi: number) => _phi,\n      },\n    ],\n  },\n  SCROFULOUS: {\n    name: \"SCROFULOUS\",\n    robustType: \"ple\",\n    rep: false,\n    pulse: [\n      {\n        theta: (_theta: number, _phi: number) => scrofulousTheta(_theta),\n        phi: (_theta: number, _phi: number) => _phi + scrofulousPhi(_theta),\n      },\n      {\n        theta: (_theta: number, _phi: number) => Math.PI,\n        phi: (_theta: number, _phi: number) =>\n          _phi + scrofulousPhi(_theta) -\n          Math.acos(-Math.PI / (2 * scrofulousTheta(_theta))),\n      },\n      {\n        theta: (_theta: number, _phi: number) => scrofulousTheta(_theta),\n        phi: (_theta: number, _phi: number) => _phi + scrofulousPhi(_theta),\n      },\n    ],\n  },\n};\n\nfunction concatenate(\n  pulseA: string,\n  pulseB: string,\n  reduced: boolean = false,\n): Pulse[] {\n  return CPList[pulseB].pulse\n    .map((pulseBElement) => {\n      if (reduced && pulseBElement.canReduce) {\n        return pulseBElement;\n      } else {\n        return CPList[pulseA].pulse.map((pulseAElement) => {\n          return {\n            theta: (_theta: number, _phi: number) =>\n              pulseAElement.theta(\n                pulseBElement.theta(_theta, _phi),\n                pulseBElement.phi(_theta, _phi),\n              ),\n            phi: (_theta: number, _phi: number) =>\n              pulseAElement.phi(\n                pulseBElement.theta(_theta, _phi),\n                pulseBElement.phi(_theta, _phi),\n              ),\n          };\n        });\n      }\n    })\n    .flat();\n}\n\nexport function createCCCP(\n  pulseA: string,\n  pulseB: string,\n  reduced: boolean = false,\n): CP {\n  return {\n    name: `${reduced ? \"reduced \" : \"\"}${pulseA}/${pulseB}`,\n    robustType: \"both\",\n    rep: false,\n    pulse: concatenate(pulseA, pulseB, reduced),\n  };\n}\n\nCPList[\"CORPSE/SK1\"] = createCCCP(\"CORPSE\", \"SK1\");\nCPList[\"SK1/CORPSE\"] = createCCCP(\"SK1\", \"CORPSE\");\nCPList[\"CORPSE/BB1\"] = createCCCP(\"CORPSE\", \"BB1\");\nCPList[\"BB1/CORPSE\"] = createCCCP(\"BB1\", \"CORPSE\");\nCPList[\"CORPSE/SCROFULOUS\"] = createCCCP(\"CORPSE\", \"SCROFULOUS\");\nCPList[\"reduced CORPSE/SK1\"] = createCCCP(\"CORPSE\", \"SK1\", true);\nCPList[\"reduced CORPSE/BB1\"] = createCCCP(\"CORPSE\", \"BB1\", true);\n\n// console.log(CPList);\n\nexport default CPList;\n","import QGate from \"../QGate\";\nimport CPList from \"../CPList\";\n\ntype Target = string | HTMLElement | null | undefined;\n\ntype Pulse = {\n  theta: (_theta: number, _phi: number) => number;\n  phi: (_theta: number, _phi: number) => number;\n  canReduce?: boolean;\n};\n\nexport default class QTool {\n  static evalGate(\n    pulse: Pulse[],\n    theta: number,\n    phi: number,\n    ple: number,\n    ore: number,\n  ): QGate {\n    let gate = new QGate();\n    pulse\n      .map((p) => {\n        const th = p.theta(theta, phi);\n        const ph = p.phi(theta, phi);\n        return new QGate(th * (1 + ple) * Math.hypot(1, ore), [Math.cos(ph), Math.sin(ph), ore]);\n      })\n      .reverse()\n      .forEach((g) => {\n        gate = gate.multiply(g);\n      });\n    return gate;\n  }\n\n  static createCanvas2D(\n    targetId: Target,\n    { width = 400, height = 400 }: { width?: number; height?: number } = {},\n  ): {\n    canvas: HTMLCanvasElement;\n    ctx: CanvasRenderingContext2D | null;\n    clearCanvas: () => void;\n  } {\n    const canvas = document.createElement(\"canvas\");\n    canvas.width = width;\n    canvas.height = height;\n    canvas.style.aspectRatio = (width / height).toString();\n    canvas.style.maxWidth = \"100%\";\n    const t =\n      typeof targetId === \"string\"\n        ? document.querySelector(`${targetId}`)\n        : targetId;\n    if (!t) {\n      throw new Error(`Target element with id \"${targetId}\" not found.`);\n    }\n    t.appendChild(canvas);\n    const ctx = canvas.getContext(\"2d\");\n    const clearCanvas = () => {\n      ctx?.clearRect(0, 0, canvas.width, canvas.height);\n    };\n    return { canvas, ctx, clearCanvas };\n  }\n\n  static createErrorList(\n    errorRange: {\n      ple: { min: number; max: number; step: number };\n      ore: { min: number; max: number; step: number };\n    } = {\n      ple: { min: -0.1, max: 0.1, step: 0.001 },\n      ore: { min: -0.1, max: 0.1, step: 0.001 },\n    },\n  ): { ple: number; ore: number }[][] {\n    const N = {\n      ple:\n        Math.floor(\n          (errorRange.ple.max - errorRange.ple.min) / errorRange.ple.step,\n        ) + 1,\n      ore:\n        Math.floor(\n          (errorRange.ore.max - errorRange.ore.min) / errorRange.ore.step,\n        ) + 1,\n    };\n    const errorList = [];\n    for (let i = 0; i < N.ple; i++) {\n      const l = [];\n      for (let j = 0; j < N.ore; j++) {\n        l.push({\n          ple: errorRange.ple.min + i * errorRange.ple.step,\n          ore: errorRange.ore.min + j * errorRange.ore.step,\n        });\n      }\n      errorList.push(l);\n    }\n    return errorList;\n  }\n\n  static calculateFidelity(\n    gateName: string,\n    theta: number,\n    phi: number,\n    error: {\n      ple: { min: number; max: number; step: number };\n      ore: { min: number; max: number; step: number };\n    } = {\n      ple: { min: -0.1, max: 0.1, step: 0.001 },\n      ore: { min: -0.1, max: 0.1, step: 0.001 },\n    },\n  ): {\n    errorList: { ple: number; ore: number }[][];\n    fidelityList: { fidelity: number; pleIdx: number; oreIdx: number }[];\n  } {\n    const CompositeGate = CPList[gateName].pulse;\n    const plain = CPList.plain.pulse;\n\n    const idealGate = QTool.evalGate(plain, theta, phi, 0, 0);\n    const errorList = QTool.createErrorList(error);\n\n    const fidelityList: { fidelity: number; pleIdx: number; oreIdx: number }[] =\n      [];\n    errorList.forEach((row, pleIdx) => {\n      row.forEach((error, oreIdx) => {\n        const { ple, ore } = error;\n        const gate = QTool.evalGate(CompositeGate, theta, phi, ple, ore);\n        fidelityList.push({\n          fidelity: gate.fidelity(idealGate),\n          pleIdx,\n          oreIdx,\n        });\n      });\n    });\n    return { errorList, fidelityList };\n  }\n\n  static createFidelityMap({\n    target,\n    gateName,\n    theta,\n    phi,\n    width,\n    height,\n    threshold = 0.9999,\n    fillStyle = (val) => `rgb(${val}, ${val}, ${val})`,\n    overFill = 1,\n    error = {\n      ple: { min: -0.1, max: 0.1, step: 0.005 },\n      ore: { min: -0.1, max: 0.1, step: 0.005 },\n    },\n    axes = true,\n    axesLabel = {\n      ple: \"pulse length error\",\n      ore: \"off-resonance error\",\n    },\n    padding = {\n      top: 10,\n      bottom: 50,\n      left: 50,\n      right: 10,\n    },\n    labelMargin = {\n      ple: 30,\n      ore: 26,\n    },\n    labelFont = \"13px serif\",\n    ticsFont = \"13px serif\",\n    ticsMargin = {\n      ple: 4,\n      ore: 4,\n      colorBar: 4,\n    },\n    colorBar = true,\n    colorBarWidth = 14,\n    colorBarMargin = {\n      left: 10,\n      right: 50\n    },\n    colorBarTicsFont = \"13px serif\",\n    colorBarTicsNum = 5,\n    download = true,\n  }: {\n    target: Target;\n    gateName: string;\n    theta: number;\n    phi: number;\n    width: number;\n    height: number;\n    threshold?: number;\n    fillStyle?: (val: number) => string;\n    overFill?: number;\n    error?: {\n      ple: { min: number; max: number; step: number };\n      ore: { min: number; max: number; step: number };\n    };\n    axes?: boolean;\n    axesLabel?: { ple: string; ore: string };\n    padding?: { top: number; bottom: number; left: number; right: number };\n    labelMargin?: { ple: number; ore: number };\n    ticsMargin?: { ple: number; ore: number; colorBar: number };\n    labelFont?: string;\n    ticsFont?: string;\n    colorBar?: boolean;\n    colorBarWidth?: number;\n    colorBarMargin?: { left: number; right: number };\n    colorBarTicsFont?: string;\n    colorBarTicsNum?: number;\n    download?: boolean | string;\n  }) {\n    const { errorList, fidelityList } = QTool.calculateFidelity(\n      gateName,\n      theta,\n      phi,\n      error,\n    );\n\n    const pleMesh = height / errorList.length;\n    const oreMesh = width / errorList[0].length;\n    const { canvas, ctx, clearCanvas } = QTool.createCanvas2D(target, {\n      width: width + (axes ? padding.left + padding.right : 0) + (colorBar ? colorBarWidth + colorBarMargin.left + colorBarMargin.right : 0),\n      height: height + (axes ? padding.top + padding.bottom : 0),\n    });\n    clearCanvas();\n\n    if (ctx) {\n      ctx.save();\n      ctx.fillStyle = \"#ffffff\";\n      ctx.fillRect(0, 0, canvas.width, canvas.height);\n      ctx.restore();\n      ctx.save();\n      if (axes) {\n        ctx.translate(padding.left, padding.top);\n      }\n      function fidelity2color(fidelity: number, threshold: number) {\n        return Math.floor(\n          ((Math.max(fidelity, threshold) - threshold) / (1 - threshold)) * 255,\n        );\n      }\n      fidelityList.forEach(({ fidelity, pleIdx, oreIdx }) => {\n        const colorValue = fidelity2color(fidelity, threshold);\n        ctx.fillStyle = fillStyle(colorValue);\n        ctx.fillRect(\n          oreIdx * oreMesh - overFill / 2,\n          width - pleMesh - pleIdx * pleMesh - overFill / 2,\n          oreMesh + overFill,\n          pleMesh + overFill,\n        );\n      });\n      if (axes) {\n        ctx.save();\n        // PLE ==============\n        ctx.save();\n        ctx.font = labelFont;\n        ctx.textAlign = \"center\";\n        ctx.textBaseline = \"bottom\";\n        ctx.translate(-labelMargin.ple, height / 2);\n        ctx.rotate(-Math.PI / 2);\n        ctx.fillText(axesLabel.ple, 0, 0);\n        ctx.restore();\n        // PLE tics --------\n        ctx.save();\n        ctx.font = ticsFont;\n        ctx.textAlign = \"right\";\n        ctx.textBaseline = \"middle\";\n        ctx.save();\n        ctx.textBaseline = \"top\";\n        ctx.translate(-ticsMargin.ple, 0);\n        ctx.fillText(`${error.ple.max}`, 0, 0);\n        ctx.restore();\n        ctx.save();\n        ctx.translate(-ticsMargin.ple, height / 2);\n        const mid_ple = (error.ple.max + error.ple.min) / 2;\n        ctx.fillText(`${mid_ple.toFixed(mid_ple === 0 ? 0 : 1)}`, 0, 0);\n        ctx.restore();\n        ctx.save();\n        ctx.textBaseline = \"bottom\";\n        ctx.translate(-ticsMargin.ple, height);\n        ctx.fillText(`${error.ple.min}`, 0, 0);\n        ctx.restore();\n        ctx.restore();\n        // ORE ==============\n        ctx.save();\n        ctx.font = labelFont;\n        ctx.textAlign = \"center\";\n        ctx.textBaseline = \"top\";\n        ctx.translate(width / 2, height + labelMargin.ore);\n        ctx.fillText(axesLabel.ore, 0, 0);\n        ctx.restore();\n        // ORE tics --------\n        ctx.save();\n        ctx.font = ticsFont;\n        ctx.textAlign = \"center\";\n        ctx.textBaseline = \"top\";\n        ctx.save();\n        ctx.textAlign = \"left\";\n        ctx.translate(0, height + ticsMargin.ore);\n        ctx.fillText(`${error.ore.min}`, 0, 0);\n        ctx.restore();\n        ctx.save();\n        ctx.translate(width / 2, height + ticsMargin.ore);\n        const mid_ore = (error.ore.max + error.ore.min) / 2;\n        ctx.fillText(`${mid_ore.toFixed(mid_ore === 0 ? 0 : 1)}`, 0, 0);\n        ctx.restore();\n        ctx.save();\n        ctx.textAlign = \"right\";\n        ctx.translate(width, height + ticsMargin.ore);\n        ctx.fillText(`${error.ore.max}`, 0, 0);\n        ctx.restore();\n        ctx.restore();\n        ctx.restore();\n      }\n      if (colorBar) {\n        ctx.save();\n        ctx.translate(width + colorBarMargin.left, 0);\n        const d = (1 - threshold) / height;\n        for (let i = 0; i < height; i++) {\n          const value = threshold + d * i;\n          ctx.fillStyle = fillStyle(fidelity2color(value, threshold));\n          ctx.fillRect(0, height - i - 1, colorBarWidth, 1);\n        }\n        ctx.save();\n        ctx.strokeStyle = \"rgb(0,0,0)\";\n        ctx.lineWidth = 2;\n        ctx.strokeRect(0, 1, colorBarWidth - 1, height - 2);\n        ctx.restore();\n        ctx.lineWidth = 1;\n        for (let i = 1; i < colorBarTicsNum; i++) {\n          ctx.save();\n          ctx.translate(0, height - (height * i) / colorBarTicsNum);\n          ctx.beginPath();\n          ctx.moveTo(1, 0);\n          ctx.lineTo(colorBarWidth - 1, 0);\n          ctx.stroke();\n          ctx.restore();\n        }\n        ctx.restore();\n        // color bar tics\n        ctx.save();\n        ctx.font = colorBarTicsFont;\n        ctx.translate(width + colorBarMargin.left + colorBarWidth, 0);\n        ctx.textAlign = \"left\";\n        ctx.textBaseline = \"middle\";\n        ctx.fillText(`1`, ticsMargin.colorBar, 0);\n        ctx.save();\n        ctx.translate(0, height);\n        ctx.fillText(`${threshold}`, ticsMargin.colorBar, 0);\n        ctx.restore();\n        for (let i = 1; i < colorBarTicsNum; i++) {\n          ctx.save();\n          const value = threshold + ((1 - threshold) * i) / colorBarTicsNum;\n          ctx.translate(0, height - (height * i) / colorBarTicsNum);\n          ctx.fillText(`${value}`, ticsMargin.colorBar, 0);\n          ctx.restore();\n        }\n        ctx.restore();\n      }\n      ctx.restore();\n      if (download) {\n        const name = typeof download === \"string\" ? download.trim() : `${gateName}-fidelity`;\n        const safeName = (name || \"fidelity\").replace(\n          /[<>:\"/\\\\|?*\\u0000-\\u001f]/g,\n          \"_\",\n        );\n        const filename = /\\.png$/.test(safeName) ? safeName : `${safeName}.png`;\n        const link = document.createElement(\"a\");\n        link.href = canvas.toDataURL(\"image/png\");\n        link.download = filename;\n        link.title = \"PNG画像を保存\";\n        link.setAttribute(\"aria-label\", `${gateName}のPNG画像を保存`);\n        link.style.display = \"inline-block\";\n        link.style.maxWidth = \"100%\";\n        canvas.replaceWith(link);\n        link.appendChild(canvas);\n      }\n    }\n  }\n\n  static drawBloch(\n    create: any,\n    {\n      ringWeight = 0.01,\n      ringNum = { azimuthal: 7, polar: 8 },\n      color = {\n        sphere: 0x888888,\n        ringMain: 0x5555ff,\n        ringSub: 0xffffff,\n      },\n    }: {\n      ringWeight?: number;\n      ringNum?: { azimuthal: number; polar: number };\n      color?: { sphere: number; ringMain: number; ringSub: number };\n    } = {},\n  ) {\n    const Bloch = create.group({\n      children: [\n        create.sphere({\n          option: {\n            transparent: true,\n            opacity: 0.5,\n            color: color.sphere,\n          },\n          autoAdd: false,\n        }),\n        create.group({\n          children: new Array(ringNum.polar).fill(0).map((_, i) => {\n            create.cylinder({\n              size: [1, 1, ringWeight],\n              segments: [128, 1],\n              rotation: [Math.PI / 2, 0, (i * Math.PI) / ringNum.polar],\n              openEnded: true,\n              option: {\n                side: 2,\n                color:\n                  i === 0 || i === ringNum.polar / 2\n                    ? color.ringMain\n                    : color.ringSub,\n              },\n              autoAdd: true,\n            });\n          }),\n          autoAdd: false,\n        }),\n        create.group({\n          children: new Array(ringNum.azimuthal).fill(0).map((_, i) => {\n            const theta = ((i + 1) / (ringNum.azimuthal + 1)) * Math.PI;\n            const r = Math.sin(theta);\n            create.cylinder({\n              size: [r, r, ringWeight],\n              segments: [128, 1],\n              position: [0, Math.cos(theta), 0],\n              openEnded: true,\n              option: {\n                side: 2,\n                color:\n                  ringNum.azimuthal % 2 !== 0 && i === ~~(ringNum.azimuthal / 2)\n                    ? color.ringMain\n                    : color.ringSub,\n              },\n              autoAdd: true,\n            });\n          }),\n          autoAdd: false,\n        }),\n      ],\n    });\n  }\n\n  static createAnimation({\n    init,\n    target,\n    pulseName,\n    angle,\n    phi,\n    initState,\n    speed,\n    draggable = true,\n    light = {\n      ambient: { intensity: 0.4 },\n      directional: { intensity: 0.6, position: [-10, 10, -10] },\n    },\n    bloch = {\n      ringWeight: 0.01,\n      ringNum: { azimuthal: 7, polar: 8 },\n      color: {\n        sphere: 0x888888,\n        ringMain: 0x5555ff,\n        ringSub: 0xffffff,\n      },\n    },\n    point = {\n      size: {\n        normal: 0.04,\n        errorP: 0.04,\n        errorN: 0.04,\n      },\n      color: {\n        normal: 0x7777ff,\n        errorP: 0xff7777,\n        errorN: 0xffaaaa,\n      },\n    },\n    view = {\n      position: [0, 0, -2],\n    },\n  }: {\n    init: any;\n    target: Target;\n    pulseName: string;\n    angle: number;\n    phi: number;\n    initState: any;\n    speed: number;\n    draggable?: boolean;\n    light?: {\n      ambient: { intensity: number };\n      directional: { intensity: number; position: [number, number, number] };\n    };\n    bloch?: {\n      ringWeight?: number;\n      ringNum?: { azimuthal: number; polar: number };\n      color?: { sphere: number; ringMain: number; ringSub: number };\n    };\n    point?: {\n      size?: { normal: number; errorP: number; errorN: number };\n      color?: { normal: number; errorP: number; errorN: number };\n    };\n    view?: { position: [number, number, number] };\n  }): {\n    create: any;\n    camera: any;\n    controls: any;\n    animate: any;\n    helper: any;\n    destroy: any;\n  } {\n    const pulses = CPList[pulseName].pulse.map((p) => ({\n      theta: p.theta(angle, phi),\n      phi: p.phi(angle, phi),\n    }));\n    let currentState = initState;\n    let eState = [initState, initState];\n\n    const { create, camera, controls, animate, helper, destroy } = init(target);\n\n    camera.position.set(...view.position);\n    if (draggable) {\n      controls.connect();\n    }\n\n    create.ambientLight({ intensity: light.ambient.intensity });\n    const directionalLight = create.directionalLight({\n      intensity: light.directional.intensity,\n      position: light.directional.position,\n    });\n    directionalLight.shadow.bias = -0.0001;\n\n    helper.axes({ size: 1 });\n\n    QTool.drawBloch(create, {\n      ringWeight: bloch.ringWeight,\n      ringNum: bloch.ringNum,\n      color: bloch.color,\n    });\n\n    const idealPoint = create.sphere({\n      size: point?.size?.normal ?? 0.04,\n      position: [0, 1, 0],\n      option: {\n        color: point?.color?.normal ?? 0x7777ff,\n      },\n    });\n    const errorPoint = [\n      create.sphere({\n        size: point?.size?.errorP ?? 0.04,\n        position: [0, 1, 0],\n        option: {\n          color: point?.color?.errorP ?? 0xff7777,\n        },\n      }),\n      create.sphere({\n        size: point?.size?.errorN ?? 0.04,\n        position: [0, 1, 0],\n        option: {\n          color: point?.color?.errorN ?? 0xffaaaa,\n        },\n      }),\n    ];\n\n    let mode = 0;\n    let counter = 0;\n    const waitTime = [1, 2];\n    let currentTheta = 0;\n    let gateIndex = 0;\n    const ple = 0.05,\n      ore = 0.05;\n    animate(({ delta }: { delta: number }) => {\n      switch (mode) {\n        case 0: // wait before start\n          counter += delta;\n          if (counter >= waitTime[0]) {\n            mode = 1;\n            counter = 0;\n          }\n          return;\n        case 1: // gate operation\n          break;\n        case 2: // wait after end\n          counter += delta;\n          if (counter >= waitTime[1]) {\n            mode = 0;\n            counter = 0;\n            //point.position.set(0, 1, 0);\n            currentState = initState;\n          }\n          return;\n      }\n      let dTheta = delta * speed;\n      let flag = false;\n      if (currentTheta + dTheta > pulses[gateIndex].theta) {\n        dTheta = pulses[gateIndex].theta - currentTheta;\n        flag = true;\n      }\n      const g = new QGate(dTheta, [\n        Math.cos(pulses[gateIndex].phi),\n        Math.sin(pulses[gateIndex].phi),\n        0,\n      ]);\n      const eg = [\n        new QGate((1 + ple) * dTheta * Math.hypot(1, ore), [\n          Math.cos(pulses[gateIndex].phi),\n          Math.sin(pulses[gateIndex].phi),\n          ore,\n        ]),\n        new QGate((1 - ple) * dTheta * Math.hypot(1, ore), [\n          Math.cos(pulses[gateIndex].phi),\n          Math.sin(pulses[gateIndex].phi),\n          -ore,\n        ]),\n      ];\n      currentState = g.apply(currentState);\n      eState = eState.map((st, i) => eg[i].apply(st));\n      const xyz = currentState.xyz;\n      const Exyz = eState.map((st) => st.xyz);\n      idealPoint.position.set(xyz.x, xyz.z, xyz.y);\n      errorPoint[0].position.set(Exyz[0].x, Exyz[0].z, Exyz[0].y);\n      errorPoint[1].position.set(Exyz[1].x, Exyz[1].z, Exyz[1].y);\n      currentTheta += dTheta;\n      if (flag) {\n        gateIndex++;\n        currentTheta = 0;\n        if (gateIndex >= pulses.length) {\n          gateIndex = 0;\n          currentState = initState;\n          eState = [initState, initState];\n          mode = 2;\n        }\n      }\n    });\n    return { create, camera, controls, animate, helper, destroy };\n  }\n}\n"]}