{ "cells": [ { "cell_type": "markdown", "id": "82982c82", "metadata": {}, "source": [ "# ExpressibilityV0" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "74658c21", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "id": "148cf54c", "metadata": {}, "source": [ "## Description\n", "\n", "The **ExpressibilityV0** environment simulates the task of building **parameterized quantum circuits** that achieve **high expressibility**. It is based on the `QuantumEnv` base class. In variational quantum algorithms (VQAs), the expressibility of an ansatz measures how well the circuit can explore the Hilbert space of possible quantum states.\n", "\n", "This environment challenges an agent to construct expressive circuits while balancing circuit depth\n", "and gate costs.\n", "\n", "At each step, the agent adds or removes blocks (rotation or entangling layers) or decides to terminate construction. The reward is based on how closely the circuit's fidelity distribution matches the Haar-random distribution (an idealized benchmark of maximum expressibility), penalized by circuit depth and two-qubit gate counts.\n", "\n", "The environment includes a rendering mode that animates:\n", "1. The evolving **fidelity distribution vs Haar distribution**, and \n", "2. The **block diagram** of the constructed circuit architecture. " ] }, { "cell_type": "markdown", "id": "8f6a8225", "metadata": {}, "source": [ "\n", "## Action Space\n", "\n", "The action space is a **Discrete(8)** space, where each action corresponds to a modification of\n", "the circuit architecture:\n", "\n", "| ID | Action | Description |\n", "|----|-----------------|-------------------------------------------------|\n", "| 0 | `RotX` | Add single-qubit RX rotations on all qubits |\n", "| 1 | `RotY` | Add single-qubit RY rotations on all qubits |\n", "| 2 | `RotZ` | Add single-qubit RZ rotations on all qubits |\n", "| 3 | `RotXYZ` | Add RX, RY, RZ rotations on all qubits |\n", "| 4 | `EntRingCNOT` | Add a ring of CNOT entanglers |\n", "| 5 | `EntLadderCZ` | Add ladder-style CZ entanglers |\n", "| 6 | `RemoveLast` | Remove the most recently added block |\n", "| 7 | `Terminate` | Stop circuit construction and end the episode |" ] }, { "cell_type": "markdown", "id": "78717a77", "metadata": {}, "source": [ "\n", "## Observation Space\n", "\n", "The observation is a **7-dimensional vector** summarizing circuit statistics:\n", "[depth, n_blocks, n_twoq, n_params, ent_density, last_express, steps_left]\n", "\n", "Where:\n", "- **`depth`**: Total circuit depth \n", "- **`n_blocks`**: Number of blocks in the circuit \n", "- **`n_twoq`**: Number of two-qubit gates \n", "- **`n_params`**: Number of trainable rotation parameters \n", "- **`ent_density`**: Entangling density relative to possible qubit connections \n", "- **`last_express`**: Last computed expressibility score \n", "- **`steps_left`**: Remaining steps before max_steps is reached " ] }, { "cell_type": "markdown", "id": "e3187aff", "metadata": {}, "source": [ "\n", "## Rewards\n", "\n", "The reward encourages high expressibility while penalizing excessive depth and two-qubit usage:\n", "\n", "$reward = - KL(P_C \\,\\|\\, P_{Haar}) \\;-\\; \\lambda_{depth}\\cdot depth \\;-\\; \\lambda_{2q}\\cdot n_{twoq}$\n", "\n", "Where:\n", "- **KL**: Kullback-Leibler divergence between circuit fidelity distribution `P_C`\n", "and Haar-random distribution `P_Haar`. \n", "- **λ_depth, λ_2q**: Regularization weights for penalizing large depth and two-qubit gates. \n", "- **Terminate bonus**: A small positive reward (`terminate_bonus`) is added if the agent terminates explicitly. \n", "\n", "Interpretation:\n", "- High reward = Circuit closely mimics Haar distribution, shallow, and efficient. \n", "- Low reward = Circuit deviates significantly from Haar distribution or becomes overly complex. " ] }, { "cell_type": "markdown", "id": "6b232068", "metadata": {}, "source": [ "\n", "## Starting State\n", "\n", "At the beginning of each episode:\n", "- The circuit is empty (`blocks = []`).\n", "- The observation corresponds to a circuit with zero depth, parameters, and entangling density.\n", "- The first reward is undefined until the agent applies at least one block." ] }, { "cell_type": "markdown", "id": "a3a653cb", "metadata": {}, "source": [ "\n", "## Episode End\n", "\n", "The episode ends under either condition:\n", "1. **Termination**: Agent selects `Terminate` action (ID=7). \n", "2. **Truncation**: Maximum number of steps (`max_steps`, default=20) is reached. " ] }, { "cell_type": "markdown", "id": "eb7521c6", "metadata": {}, "source": [ "## Rendering\n", "\n", "The rendering shows a **two-panel animation**:\n", "\n", "1. **Left panel**: \n", "- Histogram of circuit fidelity distribution vs. Haar-random distribution. \n", "- The closer the two curves overlap, the more expressive the circuit is. \n", "\n", "2. **Right panel**: \n", "- Block diagram of the constructed circuit architecture, showing the sequence of blocks. \n", "\n", "The figure title includes **reward and expressibility score** for the current step. \n", "The animation can be displayed interactively or saved as an MP4 file." ] }, { "cell_type": "markdown", "id": "39debd4f", "metadata": {}, "source": [ "## Arguments\n", "\n", "- **`n_qubits`** (`int`, default=4): Number of qubits. \n", "- **`max_blocks`** (`int`, default=12): Maximum number of blocks allowed in the circuit. \n", "- **`max_steps`** (`int`, default=20): Maximum steps per episode. \n", "- **`n_pairs_eval`** (`int`, default=120): Number of random state pairs used to evaluate expressibility. \n", "- **`bins`** (`int`, default=50): Number of histogram bins for fidelity distribution. \n", "- **`lambda_depth`** (`float`, default=0.002): Penalty weight for depth. \n", "- **`lambda_2q`** (`float`, default=0.002): Penalty weight for two-qubit gates. \n", "- **`terminate_bonus`** (`float`, default=0.1): Bonus reward for explicit termination. \n", "- **`device_name`** (`str`, default=\"default.qubit\"): PennyLane device backend. \n", "- **`seed`** (`int`, optional): Random seed for reproducibility. \n", "- **`allow_all_to_all`** (`bool`, default=False): Allow inclusion of all-to-all entangling ISWAP blocks.\n", "- **`ffmpeg`** (`bool`, default=False): If `True`, uses FFmpeg for saving animations; otherwise uses Pillow (GIF).\n" ] }, { "cell_type": "code", "execution_count": null, "id": "0f9dde69", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Episode return: -6.780126503732342\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qrl.env import ExpressibilityV0\n", "\n", "# set ffmpeg=True if you have ffmpeg installed to save as mp4, or ffmpeg=False to save as gif\n", "env = ExpressibilityV0(n_qubits=3, n_pairs_eval=60, bins=40, seed=7,ffmpeg=False)\n", "obs, _ = env.reset()\n", "done = False\n", "total = 0\n", "while not done:\n", " action = env.action_space.sample()\n", " obs, reward, done, info = env.step(action)\n", " total += reward\n", "env.render(r'expressibilityV0')\n", "print(\"Episode return:\", total)" ] } ], "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 }