{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Pennylane-Braket で勾配の並列計算" ] }, { "cell_type": "code", "execution_count": 1, "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": [ "Amazon Braket SV1 シミュレーターの特徴は、PennyLane から送信された複数の回路を並行して実行できることです。これは、各トレーニングステップで実行する必要がある回路のバリエーションが多数作成される、スケーラブルな最適化に不可欠です。 \n", "\n", "このチュートリアルでは、この機能の重要性を説明し、自分でベンチマークする方法を説明します。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## なぜ回路の訓練コストがそれほど高いのか?" ] }, { "attachments": { "grad-circuits.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "量子回路の量子古典ハイブリッド最適化は、短期的な量子コンピューティング応用における主力アルゴリズムです。変分量子回路を訓練するための基礎であるだけでなく、量子化学計算、量子機械学習、そしてもちろん素の量子最適化ためのより広い応用も考えられます。今日の最も強力な最適化アルゴリズムは、勾配の効率的な計算に依存しています。これは、アルゴリズムの出力を改善するためにパラメータを少しずつ微調整する方法を示してくれます。 \n", "\n", "量子回路の訓練は大変です!最適化の各ステップでは、回路勾配の評価が必要です。勾配の計算には、複数のデバイス実行が必要です。通常、トレーニング可能なパラメータごとに、デバイス上で回路を [複数回](https://pennylane.ai/qml/glossary/parameter_shift.html) 実行する必要があります。合理的なアプリケーションには、多くのトレーニング可能なパラメータが含まれます (何百万もの調整可能な重みを持つ古典的なニューラルネットを考えてみてください)。その結果、最適化ステップごとに膨大な数のデバイスが実行されることになります。\n", "\n", "\n", "![grad-circuits.png](attachment:grad-circuits.png)\n", "\n", "``braket.local.qubit`` デバイスでは、勾配はデバイスの逐次実行を通じて PennyLane で計算されます。言い換えると、これらの回路はすべて、評価されるまで同じキューで待機する必要があります。このアプローチは簡単ですが、パラメータの数をスケールするとすぐに遅くなります。さらに、回路の量子ビット数、か「幅」が増えると、各デバイスの実行速度が低下し、最終的には顕著なボトルネックになります。要するに、**量子回路のトレーニングの未来は、高性能のリモートシミュレータと高度に並列化されたハードウェアデバイスに依存している** とも言えます。 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "幸いなことに、Amazon Braket は SV1 シミュレータを使用したスケーラブルな量子回路の訓練方法を提供します。SV1 シミュレータは、並列実行を念頭に置いて設計された、高性能な状態ベクトルシミュレータです。PennyLane と一緒に SV1 を使用して、勾配の計算に必要なすべての回路を並列に実行できます。" ] }, { "attachments": { "remote-multi-job-simulator.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![remote-multi-job-simulator.png](attachment:remote-multi-job-simulator.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SV1 デバイスの読み込み" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Braket の SV1 シミュレータを PennyLane に25個の量子ビットで読み込みましょう。Braket デバイスの読み込みについては、[最初のチュートリアル](./0_Getting_started.ipynb) を参照してください。まずはライブラリをインポートし、ARN の指定から始めます。" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import pennylane as qml\n", "from pennylane import numpy as np\n", "\n", "wires = 25\n", "device_arn = \"arn:aws:braket:::device/quantum-simulator/amazon/sv1\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ここで、Braket 上のすべてのリモートシミュレータとハードウェアは、``braket.aws.qubit`` デバイス名を使用して PennyLane を介してアクセスされることを思い出してください。特定のリモートデバイスは ``device_arn`` 引数を使用して指定されます。" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "dev_remote = qml.device(\n", " \"braket.aws.qubit\",\n", " device_arn=device_arn,\n", " wires=wires,\n", " parallel=True,\n", ")\n", "\n", "dev_local = qml.device(\"braket.local.qubit\", wires=wires)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``dev_remote`` の ``parallel=True`` 引数に注意してください。この設定により、勾配計算時に SV1 での並列実行を行うとができます。ローカルの Braket シミュレータも比較のために読み込んでいます。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 回路評価のベンチマーク" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "次に、リモートとローカル Braket デバイスの実行時間を比較します。最初のステップとして、簡単な回路を作成します。" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def circuit(params):\n", " for i in range(wires):\n", " qml.RX(params[i], wires=i)\n", " for i in range(wires):\n", " qml.CNOT(wires=[i, (i + 1) % wires])\n", " return qml.expval(qml.PauliZ(wires - 1))" ] }, { "attachments": { "circuit.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![circuit.png](attachment:circuit.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "この回路では、25個の量子ビットのそれぞれに制御可能な回転ゲートがあります。最後に CNOT ゲートを追加し、量子ビットをエンタングルさせます。全体として、この回路には25の学習可能なパラメーターがあります。実用的な問題とは特に関係ありませんが、この回路をリモートデバイスとローカルデバイスの比較のためのテストベッドとして使用しましょう。\n", "\n", "次のステップでは、上記の回路を PennyLane QNode に変換し、実行のために回路をデバイスにバインドします。" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "qnode_remote = qml.QNode(circuit, dev_remote)\n", "qnode_local = qml.QNode(circuit, dev_local)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " 注: 上記では、qml.QNode を使用して回路を変換します。以前のチュートリアルでは、@qml.qnode() デコレータが使用されているよう見覚えがあるかもしれません。これらのアプローチは交換可能ですが、同じ回路を異なるデバイスにペアリングできるため、ここでは Qml.QNode を使用しています。\n", "
\n", "\n", "それでは、2 つのデバイス間の実行時間を比較してみましょう。" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import time\n", "\n", "params = np.random.random(wires)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "次のセルでは、SV1 で 1 つの回路が実行されます。" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "t_0_remote = time.time()\n", "\n", "qnode_remote(params)\n", "\n", "t_1_remote = time.time()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "t_0_local = time.time()\n", "\n", "qnode_local(params)\n", "\n", "t_1_local = time.time()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Execution time on remote device (seconds): 3.818446397781372\n", "Execution time on local device (seconds): 27.371450662612915\n" ] } ], "source": [ "print(\"Execution time on remote device (seconds):\", t_1_remote - t_0_remote)\n", "print(\"Execution time on local device (seconds):\", t_1_local - t_0_local)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "いい感じですね!これらの計測時間は、大きな量子ビット数のシミュレーションに SV1 を使用する利点を示唆しています。一般に、シミュレーション時間は量子ビット数に応じて指数関数的に増加しますが、SV1 は高度に最適化され、AWS のリモートサーバー上で実行されます。これにより、この 25 量子ビットの例では SV1 がローカルシミュレータよりも優れたパフォーマンスを発揮します。リモートデバイスに表示される実際の時間は、AWS サーバーまでの距離などの要因によっても異なります。\n", "\n", "
\n", " これらの実行時間を見ると、誰が何のためにローカルシミュレータを使うのか、疑問に思う方もいるでしょう。回路の量子ビットが少ない場合は、ローカルシミュレータの利用を検討する必要があります。この状況では、回路を AWS に送信するレイテンシーがシミュレーション時間よりも支配的になり、ローカルシミュレータの方が高速に動作します。\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 勾配計算のベンチマーク" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "次に、2 つのデバイス間の勾配計算時間を比較してみましょう。リモートデバイスをロードするときは、``parallel=True`` を設定することを忘れないでください。これにより、勾配計算に必要な複数のデバイスを SV1 で並行実行して実行できるため、リモートデバイスの速度がはるかに高速になることが期待されます。" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "d_qnode_remote = qml.grad(qnode_remote)\n", "d_qnode_local = qml.grad(qnode_local)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "次のセルでは、SV1 で 51 個の回路が (並列に) 実行されます。各パラメータに関して偏微分を評価するには、回路を 2 回実行する必要があります。したがって、25 のパラメータに対して 50 回路の実行があります。最後の回路の実行は、勾配が計算される前の QNode の順伝播評価によるものです。" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "t_0_remote_grad = time.time()\n", "\n", "d_qnode_remote(params)\n", "\n", "t_1_remote_grad = time.time()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "注: ハードウェアによっては、次のセルの実行に 15 分以上かかる場合があります。待てるときだけコメントを外してください。\n", "
" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# t_0_local_grad = time.time()\n", "\n", "# d_qnode_local(params)\n", "\n", "# t_1_local_grad = time.time()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gradient calculation time on remote device (seconds): 21.190669536590576\n" ] } ], "source": [ "print(\"Gradient calculation time on remote device (seconds):\", t_1_remote_grad - t_0_remote_grad)\n", "# print(\"Gradient calculation time on local device (seconds):\", t_1_local_grad - t_0_local_grad)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ローカルデバイスの実行を忍耐強く待てば、約 15 分以上と表示されるはずです!これを、SV1 の勾配の計算に費やした 1 分未満と比較してください。すなわちこれが、並列化による恩恵です。\n", "\n", "``parallel=False`` で SV1 を実行するとどうなるでしょう?所要時間は約 3 分で、ローカルデバイスよりは高速ですが、SV1 を並列で実行するよりはるかに遅くなります。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "次のステップは? PennyLane と Braket を使って問題を解く方法を、いくつかのアプリケーションについて調べてみましょう。例えば グラフの最適化量子化学の問題 のノートブックが用意されています。\n", "
" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Task Summary\n", "{'arn:aws:braket:::device/quantum-simulator/amazon/sv1': {'shots': 0, 'tasks': {'COMPLETED': 52}, 'execution_duration': datetime.timedelta(seconds=18, microseconds=92000), 'billed_execution_duration': datetime.timedelta(seconds=156)}}\n", "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", "Estimated cost to run this example: 0.195 USD\n" ] } ], "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\")" ] } ], "metadata": { "kernelspec": { "display_name": "conda_braket", "language": "python", "name": "conda_braket" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.13" } }, "nbformat": 4, "nbformat_minor": 4 }