{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Initial code for EELS analysis using quantum algorithms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister\n",
    "from qiskit_aer import AerSimulator\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.signal import find_peaks, savgol_filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Detected peaks for Ideal Spectrum:\n",
      "  696.00 eV\n",
      "  702.00 eV\n",
      "  709.00 eV\n",
      "  719.00 eV\n",
      "  725.00 eV\n",
      "  734.00 eV\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Detected peaks for Noisy Spectrum:\n",
      "  696.00 eV\n",
      "  702.00 eV\n",
      "  708.00 eV\n",
      "  713.00 eV\n",
      "  719.00 eV\n",
      "  725.00 eV\n",
      "  731.00 eV\n"
     ]
    }
   ],
   "source": [
    "def generate_fe_l23_spectrum(energy_range, add_noise=False):\n",
    "    l3_peak, l2_peak = 708, 721\n",
    "    fwhm = 1.5\n",
    "    l3_intensity = np.exp(-((energy_range - l3_peak) / fwhm)**2)\n",
    "    l2_intensity = 0.5 * np.exp(-((energy_range - l2_peak) / fwhm)**2)\n",
    "    background = 0.1 * np.exp(-(energy_range - 700) / 100)\n",
    "    spectrum = l3_intensity + l2_intensity + background\n",
    "    if add_noise:\n",
    "        noise = np.random.normal(0, 0.05, energy_range.shape)\n",
    "        spectrum += noise\n",
    "        spectrum = np.maximum(spectrum, 0)\n",
    "    return spectrum / np.max(spectrum)\n",
    "\n",
    "def apply_iqft(qc, qubits):\n",
    "    \"\"\"Apply inverse QFT to the given qubits\"\"\"\n",
    "    for i in range(len(qubits)):\n",
    "        for j in range(i):\n",
    "            qc.cp(-np.pi / 2**(i-j), qubits[i], qubits[j])\n",
    "        qc.h(qubits[i])\n",
    "\n",
    "def quantum_eels_encoding(spectrum, n_qubits=8):\n",
    "    qr = QuantumRegister(n_qubits, 'q')\n",
    "    cr = ClassicalRegister(n_qubits, 'c')\n",
    "    qc = QuantumCircuit(qr, cr)\n",
    "\n",
    "    # Encode spectrum into quantum state\n",
    "    for i, amplitude in enumerate(spectrum):\n",
    "        qc.ry(np.pi * amplitude, qr[i % n_qubits])\n",
    "\n",
    "    # Apply some entangling operations\n",
    "    for i in range(n_qubits - 1):\n",
    "        qc.cx(qr[i], qr[i+1])\n",
    "\n",
    "    # Apply inverse QFT\n",
    "    apply_iqft(qc, qr)\n",
    "\n",
    "    # Measure in computational basis\n",
    "    qc.measure(qr, cr)\n",
    "\n",
    "    return qc\n",
    "\n",
    "def quantum_eels_analysis(spectrum, energy_range, n_qubits=8, shots=100000):\n",
    "    qc = quantum_eels_encoding(spectrum, n_qubits)\n",
    "\n",
    "    # Run the circuit\n",
    "    simulator = AerSimulator()\n",
    "    job = simulator.run(qc, shots=shots)\n",
    "    result = job.result()\n",
    "    counts = result.get_counts(qc)\n",
    "\n",
    "    # Process results\n",
    "    energies = []\n",
    "    max_energy = energy_range[-1]\n",
    "    for bitstring, count in counts.items():\n",
    "        energy = int(bitstring, 2) * max_energy / (2**n_qubits - 1)\n",
    "        energies.extend([energy] * count)\n",
    "\n",
    "    return energies\n",
    "\n",
    "def analyze_and_plot(spectrum, energy_range, title):\n",
    "    simulated_energies = quantum_eels_analysis(spectrum, energy_range)\n",
    "    \n",
    "    plt.figure(figsize=(12, 4))\n",
    "    \n",
    "    plt.subplot(1, 2, 1)\n",
    "    plt.plot(energy_range, spectrum)\n",
    "    plt.title(f\"{title} - Original\")\n",
    "    plt.xlabel(\"Energy (eV)\")\n",
    "    plt.ylabel(\"Intensity\")\n",
    "    plt.axvline(x=708, color='r', linestyle='--', label='L3 edge')\n",
    "    plt.axvline(x=721, color='g', linestyle='--', label='L2 edge')\n",
    "    plt.legend()\n",
    "    \n",
    "    plt.subplot(1, 2, 2)\n",
    "    plt.hist(simulated_energies, bins=50, range=(energy_range[0], energy_range[-1]), density=True)\n",
    "    plt.title(f\"{title} - Quantum Analysis\")\n",
    "    plt.xlabel(\"Energy (eV)\")\n",
    "    plt.ylabel(\"Probability Density\")\n",
    "    plt.axvline(x=708, color='r', linestyle='--', label='L3 edge')\n",
    "    plt.axvline(x=721, color='g', linestyle='--', label='L2 edge')\n",
    "    plt.legend()\n",
    "    \n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "\n",
    "    # Find peaks in the quantum analysis results\n",
    "    hist, bin_edges = np.histogram(simulated_energies, bins=50, range=(energy_range[0], energy_range[-1]))\n",
    "    smoothed_hist = savgol_filter(hist, window_length=5, polyorder=3)\n",
    "    peaks, _ = find_peaks(smoothed_hist, distance=5)\n",
    "    peak_energies = bin_edges[peaks]\n",
    "    \n",
    "    print(f\"Detected peaks for {title}:\")\n",
    "    for peak in peak_energies:\n",
    "        print(f\"  {peak:.2f} eV\")\n",
    "\n",
    "if __name__ == \"__main__\":\n",
    "    energy_range = np.linspace(690, 740, 256)\n",
    "    \n",
    "    ideal_spectrum = generate_fe_l23_spectrum(energy_range, add_noise=False)\n",
    "    analyze_and_plot(ideal_spectrum, energy_range, \"Ideal Spectrum\")\n",
    "    \n",
    "    noisy_spectrum = generate_fe_l23_spectrum(energy_range, add_noise=True)\n",
    "    analyze_and_plot(noisy_spectrum, energy_range, \"Noisy Spectrum\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Plot Primitives"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister\n",
    "from qiskit.visualization import circuit_drawer\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def generate_fe_l23_spectrum(energy_range, add_noise=False):\n",
    "    l3_peak, l2_peak = 708, 721\n",
    "    fwhm = 1.5\n",
    "    l3_intensity = np.exp(-((energy_range - l3_peak) / fwhm)**2)\n",
    "    l2_intensity = 0.5 * np.exp(-((energy_range - l2_peak) / fwhm)**2)\n",
    "    background = 0.1 * np.exp(-(energy_range - 700) / 100)\n",
    "    spectrum = l3_intensity + l2_intensity + background\n",
    "    if add_noise:\n",
    "        noise = np.random.normal(0, 0.05, energy_range.shape)\n",
    "        spectrum += noise\n",
    "        spectrum = np.maximum(spectrum, 0)\n",
    "    return spectrum / np.max(spectrum)\n",
    "\n",
    "def apply_iqft(qc, qubits):\n",
    "    \"\"\"Apply inverse QFT to the given qubits\"\"\"\n",
    "    for i in range(len(qubits)):\n",
    "        for j in range(i):\n",
    "            qc.cp(-np.pi / 2**(i-j), qubits[i], qubits[j])\n",
    "        qc.h(qubits[i])\n",
    "\n",
    "# Generate a sample spectrum\n",
    "energy_range = np.linspace(690, 740, 256)\n",
    "sample_spectrum = generate_fe_l23_spectrum(energy_range, add_noise=False)\n",
    "\n",
    "# Step 1: Quantum State Preparation\n",
    "qr = QuantumRegister(8, 'q')\n",
    "cr = ClassicalRegister(8, 'c')\n",
    "qc_state_prep = QuantumCircuit(qr, cr)\n",
    "\n",
    "for i, amplitude in enumerate(sample_spectrum[:8]):\n",
    "    qc_state_prep.ry(np.pi * amplitude, qr[i % 8])\n",
    "\n",
    "# Draw the circuit for Quantum State Preparation\n",
    "circuit_image_state_prep = circuit_drawer(qc_state_prep, output='mpl', plot_barriers=False, justify='left')\n",
    "circuit_image_state_prep.savefig('quantum_state_preparation.png')\n",
    "\n",
    "# Step 2: Entangling Operations\n",
    "qc_entangling = qc_state_prep.copy()\n",
    "\n",
    "for i in range(7):\n",
    "    qc_entangling.cx(qr[i], qr[i+1])\n",
    "\n",
    "# Draw the circuit for Entangling Operations\n",
    "circuit_image_entangling = circuit_drawer(qc_entangling, output='mpl', plot_barriers=False, justify='left')\n",
    "circuit_image_entangling.savefig('entangling_operations.png')\n",
    "\n",
    "# Step 3: Inverse Quantum Fourier Transform (IQFT)\n",
    "qc_iqft = qc_entangling.copy()\n",
    "apply_iqft(qc_iqft, qr)\n",
    "\n",
    "# Draw the circuit for Inverse QFT\n",
    "circuit_image_iqft = circuit_drawer(qc_iqft, output='mpl', plot_barriers=False, justify='left')\n",
    "circuit_image_iqft.savefig('iqft.png')\n",
    "\n",
    "# Display the saved images\n",
    "from IPython.display import Image, display\n",
    "display(Image(filename='quantum_state_preparation.png'))\n",
    "display(Image(filename='entangling_operations.png'))\n",
    "display(Image(filename='iqft.png'))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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