{ "cells": [ { "cell_type": "markdown", "id": "be0b2384", "metadata": {}, "source": [ "# CompilerV0" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "bc284b12", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "id": "16bb1d2b", "metadata": {}, "source": [ "## Description\n", "\n", "The **CompilerV0** environment is designed to simulate the task of **quantum gate compilation** for a single-qubit system.\n", "It is based on the `QuantumEnv` base class. The agent's goal is to sequentially apply quantum gates to approximate a randomly chosen target **unitary operation**\n", "from the special unitary group SU(2). This mimics a quantum compilation problem where one attempts to rewrite a quantum operation in terms of a limited gate set.\n", "\n", "At each step, the agent applies one of several predefined single-qubit gates, evolving the current circuit unitary.\n", "The agent receives a reward proportional to the **fidelity** between the evolved unitary and the target unitary, and the episode terminates when the agent either reaches a sufficiently high fidelity or exhausts the maximum step limit.\n", "\n", "The environment includes a rendering mode that visualizes the **difference matrix** between the target and the current unitary as a heatmap evolving over time." ] }, { "cell_type": "markdown", "id": "cfa13645", "metadata": {}, "source": [ "## Action Space\n", "\n", "The action space is **discrete**, where each action corresponds to applying a quantum gate\n", "from a fixed set of single-qubit operations:\n", "\n", "| Num | Action | Description |\n", "|-----|-----------|------------------------------------|\n", "| 0 | `H` | Hadamard gate |\n", "| 1 | `X` | Pauli-X gate |\n", "| 2 | `Y` | Pauli-Y gate |\n", "| 3 | `Z` | Pauli-Z gate |\n", "| 4 | `S` | Phase gate |\n", "| 5 | `SDG` | Conjugate transpose of Phase gate |\n", "| 6 | `T` | π/8 gate |\n", "| 7 | `TDG` | Conjugate transpose of π/8 gate |\n", "| 8 | `RX_pi_2` | X-axis rotation by π/2 |\n", "| 9 | `RX_pi_4` | X-axis rotation by π/4 |\n", "| 10 | `RY_pi_2` | Y-axis rotation by π/2 |\n", "| 11 | `RY_pi_4` | Y-axis rotation by π/4 |\n", "| 12 | `RZ_pi_2` | Z-axis rotation by π/2 |\n", "| 13 | `RZ_pi_4` | Z-axis rotation by π/4 |" ] }, { "cell_type": "markdown", "id": "2e416c51", "metadata": {}, "source": [ "## Observation Space\n", "\n", "The observation is a flattened representation of the current unitary matrix, expressed in terms\n", "of its **real and imaginary parts**. This results in an 8-dimensional vector:\n", "\n", "| Num | Observation Component | Range |\n", "|-----|------------------------|---------|\n", "| 0-3 | Real part of unitary | [-1, 1] |\n", "| 4-7 | Imag part of unitary | [-1, 1] |\n", "\n", "This encodes the full \\(2 \\times 2\\) complex unitary matrix." ] }, { "cell_type": "markdown", "id": "ba377f3a", "metadata": {}, "source": [ "## Rewards\n", "\n", "The reward is based on the **average gate fidelity** between the target unitary U_{target}\n", "and the current unitary U. Specifically:\n", "\n", "$reward = \\frac{1}{2} \\left| \\mathrm{Tr}(U_{target}^\\dagger U) \\right|$\n", "\n", "- A higher reward indicates closer alignment with the target unitary.\n", "- The episode terminates early if the reward exceeds `reward_tolerance` (default: 0.98)." ] }, { "cell_type": "markdown", "id": "27800516", "metadata": {}, "source": [ "## Starting State\n", "\n", "At the start of each episode:\n", "- The circuit unitary is initialized as the **identity matrix** \\( I \\).\n", "- The target unitary is specified by the user at initialization. \n", "(By default, this can be drawn from a random **U3(θ, φ, λ)** decomposition in SU(2).)\n", "\n", "The initial observation corresponds to the identity matrix.\n" ] }, { "cell_type": "markdown", "id": "8480ec50", "metadata": {}, "source": [ "## Episode End\n", "\n", "The episode ends if one of the following occurs:\n", "\n", "1. **Termination**: \n", "The fidelity between the current and target unitary exceeds the reward tolerance (`reward > 0.98` by default).\n", "2. **Truncation**: \n", "The number of steps exceeds the maximum episode length (`max_steps`, default: 30).\n" ] }, { "cell_type": "markdown", "id": "b460badd", "metadata": {}, "source": [ "## Rendering\n", "\n", "The environment supports visualization of the compilation process:\n", "\n", "- A heatmap is drawn showing the **magnitude of the difference matrix**:\n", "$|U_{target} - U|$\n", "at each step.\n", "- The heatmap updates dynamically, and the plot title displays the **step number, last applied gate, and reward**.\n", "\n", "The animation can be saved as an MP4 file or displayed interactively.\n" ] }, { "cell_type": "markdown", "id": "f4f5cfed", "metadata": {}, "source": [ "## Arguments\n", "\n", "- **`target`** (`np.ndarray`): The target \\(2 \\times 2\\) unitary matrix to compile towards. \n", "- **`max_steps`** (`int`, default=30): Maximum number of steps per episode. \n", "- **`reward_tolerance`** (`float`, default=0.98): Fidelity threshold for early termination.\n", "- **`ffmpeg`** (`bool`, default=False): If `True`, uses FFmpeg for saving animations; otherwise uses Pillow (GIF).\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "10928b94", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial Circuit State: [1. 0. 0. 1. 0. 0. 0. 0.]\n", "After 0 action -> Observation: [ 0.70710677 0.70710677 0.70710677 -0.70710677 0. 0.\n", " 0. 0. ]\n", "Reward: 0.03731180711998387 Done: False\n", "After 11 action -> Observation: [-0.70710677 0.70710677 0.70710677 0.70710677 0. 0.\n", " 0. 0. ]\n", "Reward: 0.6138573921195891 Done: False\n", "After 4 action -> Observation: [-0.70710677 0.70710677 0. 0. 0. 0.\n", " 0.70710677 0.70710677]\n", "Reward: 0.9913020036237119 Done: True\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## Example:\n", "\n", "\n", "import numpy as np\n", "from qrl.env.core.utils import RY, RZ\n", "from qrl.env import CompilerV0\n", "\n", "theta, phi, lam = np.random.uniform(0, 2*np.pi, 3)\n", "target = (RZ(phi) @ RY(theta) @ RZ(lam)) # general SU(2)\n", "\n", "# Initialize environment with 1 qubit\n", "# set ffmpeg=True if you have ffmpeg installed to save as mp4, or ffmpeg=False to save as gif\n", "env = CompilerV0(target_unitary=target, max_steps=30, reward_tolerance=0.98, ffmpeg=False)\n", "\n", "# Reset\n", "obs, _ = env.reset()\n", "print(\"Initial Circuit State:\", obs)\n", "\n", "for _ in range(env.max_steps):\n", " action = env.action_space.sample()\n", " obs, reward, done, _ = env.step(action)\n", " print(f\"After {action} action -> Observation:\", obs)\n", " print(\"Reward:\", reward, \"Done:\", done)\n", "\n", " if done:\n", " break\n", "\n", "# Render Bloch sphere\n", "env.render(save_path_without_extension=\"compilerV0\")" ] } ], "metadata": { "kernelspec": { "display_name": "qrl_env (3.10.0)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.0" } }, "nbformat": 4, "nbformat_minor": 5 }