{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# QAOA によるグラフ最適化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Use Braket SDK Cost Tracking to estimate the cost to run this example\n",
    "from braket.tracking import Tracker\n",
    "t = Tracker().start()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "短期的な量子ハードウェアの応用が期待される分野の1つは、グラフ最適化です。グラフ上の問題は、実用的なユースケース (物流やソーシャルネットワークなど) との強い関連を持ち、解決が難しいことが多いため、興味深いです。"
   ]
  },
  {
   "attachments": {
    "graphs.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![graphs.png](attachment:graphs.png)\n",
    "\n",
    "グラフは、相互接続された頂点 (ノード) の集合で構成されます。たとえば、6 ノードのグラフを以下に示します: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "\n",
    "n_nodes = 6\n",
    "p = 0.5  # probability of an edge\n",
    "seed = 1967\n",
    "\n",
    "g = nx.erdos_renyi_graph(n_nodes, p=p, seed=seed)\n",
    "positions = nx.spring_layout(g, seed=seed)\n",
    "\n",
    "nx.draw(g, with_labels=True, pos=positions, node_size=600)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "多くの実用的なユースケースは、グラフ構造にマッピングできます。ソーシャルネットワークでは、グラフのノードはユーザーを表し、エッジはユーザー間の接続を表します。\n",
    "\n",
    "グラフの重要な性質を理解するために、最適化問題を解く必要があることがよくあります。これらの問題の例として次のものが考えられます: \n",
    "\n",
    "- 全結合のノードで構成された大きなクラスターを見つける ([最大クリーク問題](https://ja.wikipedia.org/wiki/%E6%9C%80%E5%A4%A7%E3%82%AF%E3%83%AA%E3%83%BC%E3%82%AF%E5%95%8F%E9%A1%8C))\n",
    "- グラフ内のすべてのエッジに接続する、最小の頂点部分集合を見つける ([最小頂点被覆問題](https://ja.wikipedia.org/wiki/%E6%9C%80%E5%B0%8F%E9%A0%82%E7%82%B9%E8%A2%AB%E8%A6%86%E5%95%8F%E9%A1%8C))\n",
    "- 交差するエッジ数が最大になるように、ノードを2つの部分集合に分ける ([最大カット問題](https://ja.wikipedia.org/wiki/%E3%82%AB%E3%83%83%E3%83%88_(%E3%82%B0%E3%83%A9%E3%83%95%E7%90%86%E8%AB%96)))\n",
    "\n",
    "このチュートリアルでは、QAOA と呼ばれるハイブリッドアルゴリズムを PennyLane と Braket で実行し、グラフ上の最適化問題を解く方法を示します。6ノードの小さなグラフから始めて、SV1 での並列実行を利用して 20 ノードのグラフまで試してみます。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## QAOA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "量子近似最適化アルゴリズム (quantum approximate optimization algorithm; QAOA) は、短期的なハードウェア用に設計されたアルゴリズムです。グラフ上で定義された組合せ最適化問題などの近似解を求めることができます。\n",
    "\n",
    "QAOA は Amazon Braket SDK を利用した [QAOA_braket](../Hybrid_quantum_Algorithms/Qaoa/qaoa_braket.ipynb) ノートブックや Pennylane の [tutorials](https://pennylane.ai/qml/demos/tutorial_qaoa_intro.html) でも説明されています。以下に、主要な概念をおさらいするための簡単なまとめを示します。\n",
    "\n",
    "\n",
    "QAOA は、最適化問題をコストハミルトニアン $H_C$ に関連付けて、ミキサーハミルトニアン $H_{M}$ を選ぶことから始めます。これは下の図に示すように、制御可能なパラメータ $\\gamma_i$ と $\\alpha_i$ をもったユニタリー変換 $\\exp {(-i\\gamma_i H_C)}$ と $\\exp {(-i\\alpha_i H_M)}$ を複数のレイヤーで繰り返し適用することによって実行されます。"
   ]
  },
  {
   "attachments": {
    "qaoa.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![qaoa.png](attachment:qaoa.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "次に、アルゴリズムはコストハミルトニアン $H_C$ を測定します。制御可能なパラメータ $\\gamma_i$ と $\\alpha_i$ を変化させることで、コストハミルトニアンの期待値が最小化されます。最適化されたユニタリ変換を適用すると、最適解を与える変数に関する情報を含む量子状態が準備されます。その状態をサンプリングすると、解候補が得られます。\n",
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "<b>要約</b> QAOA と量子アルゴリズムに慣れない方のために、重要なメッセージは、このアルゴリズムは量子回路が依存する制御可能なパラメータ $\\gamma_i$ と $\\alpha_i$ の最適化を行うということです。これは、Pennylane/Braket パイプラインを使用して自然に行うことができます。\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 問題設定"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上のグラフについて、最大クリーク、すなわち全結合となっている最大の頂点部分集合を見つけてみましょう。\n",
    "\n",
    "これを PennyLane と Braket で QAOA を使って解くには、まずコストハミルトニアン $H_C$ と対応するミキサーハミルトニアン $H_M$ を計算します。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost Hamiltonian:\n",
      " (0.75) [Z0 Z1]\n",
      "+ (0.25) [Z0]\n",
      "+ (-0.5) [Z1]\n",
      "+ (0.75) [Z1 Z4]\n",
      "+ (0.25) [Z4]\n",
      "+ (0.75) [Z2 Z5]\n",
      "+ (0.25) [Z2]\n",
      "+ (-0.5) [Z5]\n",
      "+ (0.75) [Z3 Z5]\n",
      "+ (0.25) [Z3]\n",
      "Mixer Hamiltonian:\n",
      " (1) [X0]\n",
      "+ (1) [X1]\n",
      "+ (1) [X2]\n",
      "+ (1) [X3]\n",
      "+ (1) [X4]\n",
      "+ (1) [X5]\n"
     ]
    }
   ],
   "source": [
    "import pennylane as qml\n",
    "from pennylane import numpy as np\n",
    "\n",
    "cost_h, mixer_h = qml.qaoa.max_clique(g, constrained=False)\n",
    "# constrained=True results in greater circuit depth but potentially better solutions\n",
    "\n",
    "print(\"Cost Hamiltonian:\\n\", cost_h)\n",
    "print(\"Mixer Hamiltonian:\\n\", mixer_h)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## アルゴリズムの設定"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "まず、単一の QAOA レイヤーを設定します。"
   ]
  },
  {
   "attachments": {
    "qaoa_layer.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![qaoa_layer.png](attachment:qaoa_layer.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "このレイヤーには、制御可能なパラメータ $\\gamma_i$ と $\\alpha_i$ が含まれます。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def qaoa_layer(gamma, alpha):\n",
    "    qml.qaoa.cost_layer(gamma, cost_h)\n",
    "    qml.qaoa.mixer_layer(alpha, mixer_h)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "完全な QAOA 回路は次の式で与えられます: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_layers = 4\n",
    "wires = n_nodes\n",
    "\n",
    "def circuit(params, **kwargs):\n",
    "    for i in range(wires):  # Prepare an equal superposition over all qubits\n",
    "        qml.Hadamard(wires=i)\n",
    "        \n",
    "    qml.layer(qaoa_layer, n_layers, params[0], params[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "<b>注:</b> 今回、4 つの QAOA レイヤーを使用することにしました。深さの選択は、(より深い回路による) より良い解と実行時間の増加との間のトレードオフで決定します。\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "全体で制御可能なパラメータは 8 つあります。最初の 4 つはコストハミルトニアンの $\\gamma_i$ 用で、2 番目の 4 つはミキサーハミルトニアンの $\\alpha_i$ 用です。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[0.72511958, 0.57312068, 0.6448612 , 0.55801009],\n",
       "        [0.94368854, 0.93863944, 0.52819152, 0.5817428 ]], requires_grad=True)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.seed(1967)\n",
    "params = np.random.uniform(size=[2, n_layers])\n",
    "params"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "本チュートリアルのこの部分では、ローカルの Braket シミュレータを使用します (詳細は [導入チュートリアル](./0_Getting_started.ipynb) を参照)。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "dev = qml.device(\"braket.local.qubit\", wires=wires)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "最後のステップは、コスト関数を定義することです。QAOA では、出力コスト関数はコストハミルトニアン $H_C$ の期待値で与えられます。すなわち、"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "@qml.qnode(dev)\n",
    "def cost_function(params, **kwargs):\n",
    "    circuit(params)\n",
    "    return qml.expval(cost_h)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## アルゴリズムの実行"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ここまででコスト関数を定義したので、あとはオプティマイザを選択して最適化ループを実行するだけです。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = qml.GradientDescentOptimizer()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial cost: 0.6516478992954958\n",
      "Completed iteration 1, cost function: -0.668741012754724\n",
      "Completed iteration 2, cost function: -1.715907278390606\n",
      "Completed iteration 3, cost function: -1.950115458213475\n",
      "Completed iteration 4, cost function: -2.0330929514098757\n",
      "Completed iteration 5, cost function: -2.1057100865780667\n",
      "Completed iteration 6, cost function: -2.174831755527574\n",
      "Completed iteration 7, cost function: -2.242888962573279\n",
      "Completed iteration 8, cost function: -2.3112830459267624\n",
      "Completed iteration 9, cost function: -2.3807887017553826\n",
      "Completed iteration 10, cost function: -2.4517855696487607\n"
     ]
    }
   ],
   "source": [
    "print(\"Initial cost:\", cost_function(params))\n",
    "\n",
    "for i in range(10):\n",
    "    params = optimizer.step(cost_function, params)\n",
    "    cost_eval = cost_function(params)\n",
    "    print(f\"Completed iteration {i + 1}, cost function:\", cost_eval)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 結果の分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "アルゴリズムの実行がどの程度うまくいっているかをどうやって知ればいいでしょう？これを行うには、最適化されたパラメータを使用した回路からサンプリングします。これにより、最も一般的なサンプルを選択するか、対応するエネルギーが最も低いサンプルを選択するなど、クリークの一部として使用するグラフのノードを選択できるバイナリサンプルが得られます。\n",
    "\n",
    "いくつかのサンプルを取得して、どのサンプルが最も頻繁に発生するかを見てみましょう。まず、サンプリング用に設計された QNode を作成します。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "shots = 100000\n",
    "dev = qml.device(\"braket.local.qubit\", wires=wires, shots=shots)\n",
    "\n",
    "@qml.qnode(dev)\n",
    "def samples(params):\n",
    "    circuit(params)\n",
    "    return [qml.sample(qml.PauliZ(i)) for i in range(wires)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "サンプルを生成し、確率に変換します: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import Counter\n",
    "\n",
    "s = samples(params).T\n",
    "s = (1 - s.numpy()) / 2\n",
    "s = map(tuple, s)\n",
    "\n",
    "counts = Counter(s)\n",
    "indx = np.ndindex(*[2] * wires)\n",
    "\n",
    "probs = {p: counts.get(p, 0) / shots for p in indx}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "これで、すべての可能なサンプルの確率分布をプロットできます。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.style.use(\"seaborn\")\n",
    "labels = [\"{0:{fill}6b}\".format(i, fill='0') for i in range(len(probs))]\n",
    "\n",
    "plt.bar(range(2 ** wires), probs.values())\n",
    "plt.xticks([i for i in range(len(probs))], labels, rotation='vertical', size=12)\n",
    "plt.yticks(size=12)\n",
    "\n",
    "plt.xlabel(\"Sample\", size=20)\n",
    "plt.ylabel(\"Probability\", size=20)\n",
    "\n",
    "fig = plt.gcf()\n",
    "fig.set_size_inches(16, 8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "プロットから、サンプル ``101110`` が最も高い確率を持つことは明らかです。各量子ビットはノードに対応しているので、このサンプルはノード ``[0, 2, 3, 4]`` を選択して部分グラフを形成します。これがクリークであるかどうか、つまりすべてのノードが接続されているかどうかを調べてみましょう。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sub = g.subgraph([0, 2, 3, 4])\n",
    "nx.draw(g, pos=positions, with_labels=True)\n",
    "nx.draw(sub, pos=positions, node_color=\"r\", edge_color=\"r\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "素晴らしい、これはクリークですね！さらに、この6ノードグラフでは*最大*クリークとなっています。PennyLane と Braket を使用した QAOA で、最大クリーク問題を解くことができました！"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## より大きなグラフへ QAOA のスケールアップ"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Braket で PennyLane を使用し QAOA でグラフ最適化問題を解く方法を見てきました。ただし、これまでのところ、単純な 6 ノードグラフに制限したうえで、ローカル Braket デバイスを使用しました。それでは、もう少し野心的に、20 ノードグラフの最適化問題を解きましょう！"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "\n",
    "nodes = wires = 20\n",
    "edges = 60\n",
    "seed = 1967\n",
    "\n",
    "g = nx.gnm_random_graph(nodes, edges, seed=seed)\n",
    "positions = nx.spring_layout(g, seed=seed)\n",
    "\n",
    "nx.draw(g, with_labels=True, pos=positions)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "20 ノードのグラフ（同じ数の量子ビットにマッピングされます）を解こうとすると、ローカルシミュレータの実行が遅くなる領域に差し掛かります。[並列化のチュートリアル](./1_parallelized_optimization_of_quantum_circuits.ipynb) で説明したように、各最適化ステップでは勾配計算のため複数デバイスが実行され、回路を訓練する際は複合的な要因で実行が遅くなります。ありがたいことに、マネージド SV1 シミュレータは、勾配計算の並列化による高速化に適しています。これで、QAOA の回路の学習が妥当な時間内に解決可能になります。\n",
    "\n",
    "まず、新しいデバイスを読み込みましょう。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "device_arn = \"arn:aws:braket:::device/quantum-simulator/amazon/sv1\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "dev = qml.device(\n",
    "    \"braket.aws.qubit\",\n",
    "    device_arn=device_arn,\n",
    "    wires=wires,\n",
    "    parallel=True,\n",
    "    max_parallel=20,\n",
    "    poll_timeout_seconds=30,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ここで、``max_parallel=20`` を指定していることに注意してください。これにより、SV1 で最大 ``20`` の回路が並列に実行されます (デフォルト値は ``10``)。\n",
    "\n",
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>注:</b> 並列実行の最大数を増やすと、シミュレーション料金が高くなる可能性があります。また、<a href=\"https://docs.aws.amazon.com/braket/latest/developerguide/braket-quotas.html\">サービスクォータ</a> を念頭に置いて設定する必要があります (AWS マネージメントコンソールの <a href=\"https://console.aws.amazon.com/servicequotas/home\">ここ</a> にあります)。同様に、QAOA を QPU で実行する場合、待ち時間と <a href=\"https://aws.amazon.com/braket/pricing/\">高額の使用料</a> が発生する可能性があります。 \n",
    "</div>\n",
    "\n",
    "今回も、QAOA 回路と最適化問題を以前と同じ方法で準備します。全く同じ問題設定だと面白くないので、ここでは新しい最適化問題に切り替えます。グラフのノードを2つのグループに分割して、グループ間を跨ぐエッジの数を最大化する、最大カット問題を解いてみましょう (下の画像を参照)。この問題は NP-hard であり、グラフのノード数を増やすにつれて急激に難しくなると予想されます。"
   ]
  },
  {
   "attachments": {
    "max-cut.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![max-cut.png](attachment:max-cut.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "cost_h, mixer_h = qml.qaoa.maxcut(g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def qaoa_layer(gamma, alpha):\n",
    "    qml.qaoa.cost_layer(gamma, cost_h)\n",
    "    qml.qaoa.mixer_layer(alpha, mixer_h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_layers = 2\n",
    "\n",
    "@qml.qnode(dev)\n",
    "def cost_function(params, **kwargs):\n",
    "    for i in range(wires):  # Prepare an equal superposition over all qubits\n",
    "        qml.Hadamard(wires=i)\n",
    "        \n",
    "    qml.layer(qaoa_layer, n_layers, params[0], params[1])\n",
    "    return qml.expval(cost_h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(1967)\n",
    "params = 0.01 * np.random.uniform(size=[2, n_layers])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PennyLane にはさまざまな [オプティマイザ](https://pennylane.readthedocs.io/en/stable/introduction/optimizers.html) が用意されています。``adagradOptimizer`` を選んでみましょう:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = qml.AdagradOptimizer(stepsize=0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "これで回路を訓練する準備ができました！この回路を自分で訓練する場合は、最適化ループのイテレーション回数を増やしたり、QAOA 層数の変化を調べてみると良いでしょう。\n",
    "\n",
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>注:</b> 次のセルの実行には時間がかかり、AWS アカウントに <a href=\"https://aws.amazon.com/braket/pricing/\">使用料</a> が請求されます。待ち時間とコストが許容できる場合にのみ、セルのコメントを外してください。大量の量子ビットを含むジョブにはコストがかかることに注意し、AWS コンソールのマイ請求ダッシュボードをモニタリングすることをお勧めします。\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import time\n",
    "\n",
    "# iterations = 10\n",
    "\n",
    "# for i in range(iterations):    \n",
    "#     t0 = time.time()\n",
    "    \n",
    "#     params, cost_before = optimizer.step_and_cost(cost_function, params)    \n",
    "\n",
    "#     t1 = time.time()\n",
    "    \n",
    "#     if i == 0:\n",
    "#         print(\"Initial cost:\", cost_before)\n",
    "#     else:\n",
    "#         print(f\"Cost at step {i}:\", cost_before)\n",
    "\n",
    "#     print(f\"Completed iteration {i + 1}\")\n",
    "#     print(f\"Time to complete iteration: {t1 - t0} seconds\")\n",
    "\n",
    "# print(f\"Cost at step {iterations}:\", cost_function(params))\n",
    "\n",
    "# np.save(\"params.npy\", params)\n",
    "# print(\"Parameters saved to params.npy\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<code>\n",
    "Initial cost: -29.98570234095951\n",
    "Completed iteration 1\n",
    "Time to complete iteration: 93.96246099472046 seconds\n",
    "Cost at step 1: -27.154071768632154\n",
    "Completed iteration 2\n",
    "Time to complete iteration: 84.80994844436646 seconds\n",
    "Cost at step 2: -29.98726230006233\n",
    "Completed iteration 3\n",
    "Time to complete iteration: 83.13504934310913 seconds\n",
    "Cost at step 3: -29.999163153600062\n",
    "Completed iteration 4\n",
    "Time to complete iteration: 85.61391234397888 seconds\n",
    "Cost at step 4: -30.002158646044307\n",
    "Completed iteration 5\n",
    "Time to complete iteration: 86.70688223838806 seconds\n",
    "Cost at step 5: -30.012058444011906\n",
    "Completed iteration 6\n",
    "Time to complete iteration: 83.26341080665588 seconds\n",
    "Cost at step 6: -30.063709712612443\n",
    "Completed iteration 7\n",
    "Time to complete iteration: 85.25566911697388 seconds\n",
    "Cost at step 7: -30.32522304705352\n",
    "Completed iteration 8\n",
    "Time to complete iteration: 83.55433392524719 seconds\n",
    "Cost at step 8: -31.411030331978186\n",
    "Completed iteration 9\n",
    "Time to complete iteration: 84.08745908737183 seconds\n",
    "Cost at step 9: -33.87153965616938\n",
    "Completed iteration 10\n",
    "Time to complete iteration: 87.4032838344574 seconds\n",
    "Cost at step 10: -36.05424874438809\n",
    "Parameters saved to params.npy\n",
    "</code>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "この例では、20 量子ビットの QAOA 問題は、Amazon Braket SV1 デバイスで並列実行を使用して勾配計算を高速化することにより、イテレーションごとに約 1-2 分以内で訓練できることが示されました。この問題がローカルの Braket シミュレータで並列化されずに実行された場合、トレーニングにはかなり長い時間がかかることが予想されます。\n",
    "\n",
    "30 イテレーション後の 2 層 QAOA 回路の事前最適化済みパラメータは、以下でロードできます。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "params_30 = np.load(\"params_30.npy\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "<b>次のステップは？</b> 以前の方法を適用し、20 ノードグラフでの学習済み QAOA 回路を分析できるか確認しましょう。また、量子化学に関するフォローアップチュートリアルもチェックしてください。\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(\"Task Summary\")\n",
    "print(t.quantum_tasks_statistics())\n",
    "print('Note: Charges shown are estimates based on your Amazon Braket simulator and quantum processing unit (QPU) task usage. Estimated charges shown may differ from your actual charges. Estimated charges do not factor in any discounts or credits, and you may experience additional charges based on your use of other services such as Amazon Elastic Compute Cloud (Amazon EC2).')\n",
    "print(f\"Estimated cost to run this example: {t.qpu_tasks_cost() + t.simulator_tasks_cost():.3f} USD\")"
   ]
  }
 ],
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