{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6cf1c4f8",
   "metadata": {},
   "source": [
    "# ErrorChannelV0"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "ccb1c6a5",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d4c9259",
   "metadata": {},
   "source": [
    "## Description\n",
    "\n",
    "The **ErrorChannelV0** environment simulates a **multi-qubit noisy quantum system** where different qubits\n",
    "may be subject to error channels (bitflip errors) with varying probabilities. It is based on the `QuantumEnv` base class. \n",
    "The agent's task is to identify and apply corrective single-qubit gates to mitigate the effects of these noise processes and restore the system state\n",
    "to the computational basis state **|0...0⟩**.\n",
    "\n",
    "This environment models the challenge of **quantum error mitigation/correction** in the presence of **Bit-flip errors**.\n",
    "\n",
    "The agent interacts by applying X gate to specific qubits. Rewards are based\n",
    "on the probability that the corrected quantum state has returned to the target basis state.\n",
    "\n",
    "The environment includes a rendering mode that provides a **bar plot animation** comparing the noisy,\n",
    "corrected, and ideal probability distributions, along with the evolving circuit diagram.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c4d10643",
   "metadata": {},
   "source": [
    "## Action Space\n",
    "\n",
    "The action space is a **Discrete( [n_qubits] )** space, meaning the agent chooses:\n",
    "\n",
    "1. A **target qubit**: index in `[0, n_qubits-1]` to apply the PauliX correction on.\n",
    "\n",
    "Example (for 3 qubits):  \n",
    "- `0` → Apply `X` gate on qubit 0  \n",
    "- `2` → Apply `X` gate on qubit 2  \n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9174d2e4",
   "metadata": {},
   "source": [
    "## Observation Space\n",
    "\n",
    "The observation is a probability distribution over all computational basis states\n",
    "of the `n_qubits` system:\n",
    "\n",
    "obs $\\in [0, 1]^{2^{n_{qubits}}}$\n",
    "\n",
    "with the constraint:\n",
    "\n",
    "$\\sum_{i} obs_i = 1$\n",
    "\n",
    "For example, with 3 qubits, the observation is a length-8 vector:\n",
    "\n",
    "| Index | Basis State | Probability |\n",
    "|-------|-------------|-------------|\n",
    "| 0     |  \\|000>       | [0, 1]      |\n",
    "| 1     |  \\|001>       | [0, 1]      |\n",
    "| ...   |  ...          | ...         |\n",
    "| 7     |  \\|111>       | [0, 1]      |\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f284396f",
   "metadata": {},
   "source": [
    "## Rewards\n",
    "\n",
    "The reward is the mean squared error between the target state and the corrected state multiplied by -1:\n",
    "\n",
    "reward = -MSE(|0...0⟩, |corrected_state⟩)\n",
    "\n",
    "- Maximum reward = 0.0 (perfect correction).  \n",
    "- Minimum reward = -(2/2**num_qubits) (highly corrupted)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccbc113e",
   "metadata": {},
   "source": [
    "## Starting State\n",
    "\n",
    "At the start of each episode:\n",
    "- A set of **faulty qubits** is defined to apply bit flip errors with varying probabilities.  \n",
    "(If not specified, a random qubit is chosen.)\n",
    "- The agent begins with no corrections applied.\n",
    "\n",
    "The first observation is the noisy probability distribution before any corrections.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e35f1a61",
   "metadata": {},
   "source": [
    "## Episode End\n",
    "\n",
    "The episode ends if one of the following occurs:\n",
    "\n",
    "1. **Termination**:  \n",
    "The obtained reward is 0.0.\n",
    "2. **Truncation**:  \n",
    "The system reaches the maximum number of steps (`max_steps`, default=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3c2ca8f",
   "metadata": {},
   "source": [
    "## Rendering\n",
    "\n",
    "The rendering shows a **side-by-side animation** with:\n",
    "\n",
    "1. **Left panel**: Bar chart of probabilities for each basis state:  \n",
    "- Gray = Ideal noiseless target (|0...0⟩)  \n",
    "- Orange = Noisy distribution  \n",
    "- Blue = Corrected distribution  \n",
    "\n",
    "The chart title updates with **step number, chosen correction, and reward**.\n",
    "\n",
    "2. **Right panel**: A dynamically drawn ASCII-style **quantum circuit** reflecting\n",
    "the applied corrections.\n",
    "\n",
    "The animation can be displayed interactively or saved as an MP4 file.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6757f2c9",
   "metadata": {},
   "source": [
    "## Arguments\n",
    "\n",
    "- **`n_qubits`** (`int`, default=3): Number of qubits in the system.  \n",
    "- **`faulty_qubits`** (`dict`, optional): Mapping of faulty qubit indices to their noise probabilities.  \n",
    "- **`max_steps`** (`int`, default=10): Maximum number of agent actions per episode.  \n",
    "- **`seed`** (`int`, optional): Random seed for reproducibility.  \n",
    "- **`ffmpeg`** (`bool`, default=False): If `True`, uses FFmpeg for saving animations; otherwise uses Pillow (GIF)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "253e93a6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step=1 act=[2] reward=-0.250 errors={0: 1.0, 2: 1.0}\n",
      "step=2 act=[1] reward=-0.250 errors={0: 1.0, 2: 1.0}\n",
      "step=3 act=[1] reward=-0.250 errors={0: 1.0, 2: 1.0}\n",
      "step=4 act=[2] reward=-0.250 errors={0: 1.0, 2: 1.0}\n",
      "step=5 act=[0] reward=-0.250 errors={0: 1.0, 2: 1.0}\n",
      "step=6 act=[0] reward=-0.250 errors={0: 1.0, 2: 1.0}\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from qrl.env import ErrorChannelV0\n",
    "\n",
    "# set ffmpeg=True if you have ffmpeg installed to save as mp4, or ffmpeg=False to save as gif\n",
    "env = ErrorChannelV0(\n",
    "    n_qubits=3,\n",
    "    faulty_qubits={0: 1.0, 2: 1.0},\n",
    "    max_steps=6,\n",
    "    seed=42,\n",
    "    ffmpeg=False\n",
    ")\n",
    "obs = env.reset()\n",
    "done = False\n",
    "while not done:\n",
    "    action = env.action_space.sample()\n",
    "    obs, reward, done, info = env.step(action)\n",
    "    print(f\"step={len(env.corrections)} act={action} \"\n",
    "            f\"reward={reward:.3f} errors={info['faulty_qubits']}\")\n",
    "env.render(save_path_without_extension=\"error_channelV0\", interval_ms=700)\n"
   ]
  }
 ],
 "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
}