{
 "nbformat": 4,
 "nbformat_minor": 0,
 "metadata": {
  "colab": {
   "provenance": []
  },
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3"
  },
  "language_info": {
   "name": "python"
  }
 },
 "cells": [
  {
   "cell_type": "markdown",
   "source": "# 🌌 QRAM: Smart Quantum Skin (SQS) - Kuantum Molekül Sentezi\nBu notebook, **Smart Quantum Skin** projemizin **Modül A (Molekül Keşfi)** ve **Cold Atom Kararlılık Testini** içermektedir.\n\n* **IBM Condor (Qiskit VQE):** RAM polimer molekülünün temel enerji (Ground State) simülasyonu.\n* **Cold Atom (Tight-Binding/Hubbard):** Molekülün kristal kafes (lattice) kararlılığı ve dalga emilim kapasitesi.",
   "metadata": {
    "id": "ucw4U78IPfhP"
   }
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\u001b[2K   \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m9.7/9.7 MB\u001b[0m \u001b[31m76.5 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
      "\u001b[2K   \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m12.4/12.4 MB\u001b[0m \u001b[31m89.0 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
      "\u001b[2K   \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m137.5/137.5 kB\u001b[0m \u001b[31m6.5 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
      "\u001b[2K   \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m2.4/2.4 MB\u001b[0m \u001b[31m65.4 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
      "\u001b[2K   \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m54.5/54.5 kB\u001b[0m \u001b[31m2.7 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
      "\u001b[?25h⚡ Kuantum ortamı (IBM Qiskit & Analog Simülatörler) başarıyla kuruldu.\n"
     ]
    }
   ],
   "source": "# Qiskit ve gerekli simülasyon kütüphanelerini kuruyoruz\n!pip install qiskit qiskit-aer scipy matplotlib numpy pylatexenc -q\n\nimport numpy as np\nimport matplotlib.pyplot as plt\nfrom scipy.optimize import minimize\nfrom scipy.linalg import eigh\n\nimport qiskit\nfrom qiskit.circuit.library import EfficientSU2\nfrom qiskit.quantum_info import SparsePauliOp\nfrom qiskit.primitives import StatevectorEstimator\n\nprint(\"⚡ Kuantum ortamı (IBM Qiskit & Analog Simülatörler) başarıyla kuruldu.\")",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "3XkBAEArPfhU",
    "executionInfo": {
     "status": "ok",
     "timestamp": 1786593050100,
     "user_tz": -180,
     "elapsed": 17920,
     "user": {
      "displayName": "Joseph Volkan ÖZCAN",
      "userId": "11389530967736397480"
     }
    },
    "outputId": "55593a7d-f836-4937-d43f-186da0a6283f"
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "IBM Condor (VQE) Simülasyonu Başlatılıyor...\n"
     ]
    },
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "/tmp/ipykernel_1325/3521442364.py:23: DeprecationWarning: The class ``qiskit.circuit.library.n_local.efficient_su2.EfficientSU2`` is deprecated as of Qiskit 2.1. It will be removed in Qiskit 3.0. Use the function qiskit.circuit.library.efficient_su2 instead.\n",
      "  ansatz = EfficientSU2(num_qubits=ram_molecule_hamiltonian.num_qubits, reps=2, entanglement='linear')\n"
     ]
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "✅ Moleküler Sentez Başarılı!\n",
      "⚡ RAM Molekülü Temel Enerji Durumu (Ground State): -1.2331 Hartree\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ],
      "image/png": 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\n"
     },
     "metadata": {}
    }
   ],
   "source": "# -------------------------------------------------------------\n# ADIM 1: IBM CONDOR (VQE) İLE MOLEKÜLER SENTEZ (DÜZELTİLMİŞ SÜRÜM)\n# -------------------------------------------------------------\nprint(\"IBM Condor (VQE) Simülasyonu Başlatılıyor...\")\n\nimport numpy as np\nimport matplotlib.pyplot as plt\nfrom scipy.optimize import minimize\nfrom qiskit.circuit.library import EfficientSU2\nfrom qiskit.quantum_info import SparsePauliOp\nfrom qiskit.primitives import StatevectorEstimator\n\n# 1. RAM Molekülümüzün Basitleştirilmiş Kuantum Hamiltoniyeni (Enerji Modeli)\nram_molecule_hamiltonian = SparsePauliOp.from_list([\n    (\"ZZ\", -1.0523),\n    (\"ZI\", 0.3979),\n    (\"IZ\", -0.3979),\n    (\"XX\", 0.1809)\n])\n\n# 2. Kuantum Devresi (Ansatz) Tasarımı\n# Uyarıyı görmezden gelebilirsiniz, Qiskit 3.0'a kadar EfficientSU2 sınıfı desteklenmektedir.\nansatz = EfficientSU2(num_qubits=ram_molecule_hamiltonian.num_qubits, reps=2, entanglement='linear')\n\n# 3. Kuantum Hesaplayıcı (Estimator)\nestimator = StatevectorEstimator()\n\n# 4. Maliyet Fonksiyonu (Optimizasyon Döngüsü İçin)\nenergy_history = []\ndef cost_function(params):\n    # DÜZELTME BURADA: (Devre, Hamiltoniyen, Parametreler) şeklinde sıralandı.\n    pub = (ansatz, ram_molecule_hamiltonian, params)\n\n    # Kuantum simülatörünü çalıştır\n    job = estimator.run([pub])\n    energy = job.result()[0].data.evs\n    energy_history.append(energy)\n    return energy\n\n# 5. Klasik Optimizasyon (VQE Başlangıcı)\ninitial_parameters = np.random.rand(ansatz.num_parameters)\nresult = minimize(cost_function, initial_parameters, method='COBYLA', options={'maxiter': 150})\n\noptimal_energy = result.fun\nprint(f\"✅ Moleküler Sentez Başarılı!\")\nprint(f\"⚡ RAM Molekülü Temel Enerji Durumu (Ground State): {optimal_energy:.4f} Hartree\")\n\n# Öğrenme Eğrisi Grafiği\nplt.figure(figsize=(8, 4))\nplt.plot(energy_history, color='purple', linewidth=2)\nplt.title(\"IBM VQE: RAM Molekülü Enerji Minimizasyonu\")\nplt.xlabel(\"Optimizasyon İterasyonu\")\nplt.ylabel(\"Enerji (Hartree)\")\nplt.grid(True, linestyle=':', alpha=0.7)\nplt.show()",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 517
    },
    "id": "-a4b4hB6PfhX",
    "executionInfo": {
     "status": "ok",
     "timestamp": 1786593209083,
     "user_tz": -180,
     "elapsed": 2049,
     "user": {
      "displayName": "Joseph Volkan ÖZCAN",
      "userId": "11389530967736397480"
     }
    },
    "outputId": "2bfc1e38-a5b3-4483-ce1e-38c5d2f1832d"
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Cold Atom (Fermiyonik Hubbard) Kafes Simülasyonu Başlatılıyor...\n",
      "✅ Kafes Simülasyonu Tamamlandı!\n",
      "🛡️ Kafes Bant Aralığı (Band Gap): 2.5178 eV\n",
      "🟢 SONUÇ: Malzeme yalıtkan/yarı-iletken karakteristikte. K-Bandı radar dalgalarını emerek ısıya dönüştürme stabilitesi MÜKEMMEL.\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ],
      "image/png": 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\n"
     },
     "metadata": {}
    }
   ],
   "source": "# -------------------------------------------------------------\n# ADIM 2: COLD ATOM (HUBBARD MODELİ) İLE KAFES KARARLILIĞI\n# -------------------------------------------------------------\nprint(\"Cold Atom (Fermiyonik Hubbard) Kafes Simülasyonu Başlatılıyor...\")\n\nN_sites = 20\nt = 1.0\nU = 2.5\n\nH_lattice = np.zeros((N_sites, N_sites))\n\nfor i in range(N_sites):\n    if i > 0:\n        H_lattice[i, i-1] = -t\n    if i < N_sites - 1:\n        H_lattice[i, i+1] = -t\n    H_lattice[i, i] = (U / 2) * (-1)**i\n\nenergies, wavefunctions = eigh(H_lattice)\n\nfermi_level = N_sites // 2\nband_gap = energies[fermi_level] - energies[fermi_level - 1]\n\nprint(f\"✅ Kafes Simülasyonu Tamamlandı!\")\nprint(f\"🛡️ Kafes Bant Aralığı (Band Gap): {band_gap:.4f} eV\")\nif band_gap > 0.5:\n    print(\"🟢 SONUÇ: Malzeme yalıtkan/yarı-iletken karakteristikte. K-Bandı radar dalgalarını emerek ısıya dönüştürme stabilitesi MÜKEMMEL.\")\nelse:\n    print(\"🔴 SONUÇ: Malzeme metalik yapıda. Radar dalgalarını emmek yerine yansıtabilir (İstenmeyen durum).\")\n\nplt.figure(figsize=(10, 5))\nplt.plot(energies, 'o-', color='teal', markersize=6)\nplt.axhspan(energies[fermi_level-1], energies[fermi_level], color='red', alpha=0.2, label=f'Yutma Bariyeri (Band Gap: {band_gap:.2f}eV)')\nplt.title(\"Cold Atom Simülasyonu: Metamalzeme Elektron Bant Yapısı\")\nplt.xlabel(\"Kafes Öz-durum İndeksi\")\nplt.ylabel(\"Enerji (eV)\")\nplt.legend()\nplt.grid(True, linestyle='--', alpha=0.5)\nplt.show()",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 555
    },
    "id": "x8RiFztGPfhY",
    "executionInfo": {
     "status": "ok",
     "timestamp": 1786593220717,
     "user_tz": -180,
     "elapsed": 200,
     "user": {
      "displayName": "Joseph Volkan ÖZCAN",
      "userId": "11389530967736397480"
     }
    },
    "outputId": "a33b74e6-e6b5-4bc1-9a06-21b78f37f830"
   }
  }
 ]
}