From 831b7d75cd38a3f1709375b5b470fbbd1742e440 Mon Sep 17 00:00:00 2001 From: "mergify[bot]" <37929162+mergify[bot]@users.noreply.github.com> Date: Thu, 26 Sep 2024 14:20:52 -0500 Subject: [PATCH] Improve figure and explanation in tutorial 1 (#67) (#68) --- docs/tutorials/01_chemistry_hamiltonian.ipynb | 25 +++++++++++-------- 1 file changed, 15 insertions(+), 10 deletions(-) diff --git a/docs/tutorials/01_chemistry_hamiltonian.ipynb b/docs/tutorials/01_chemistry_hamiltonian.ipynb index f6d24d0..c7fdd96 100644 --- a/docs/tutorials/01_chemistry_hamiltonian.ipynb +++ b/docs/tutorials/01_chemistry_hamiltonian.ipynb @@ -236,8 +236,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Gate counts (w/o pre-init passes): OrderedDict({'rz': 7405, 'sx': 6014, 'ecr': 2232, 'x': 315, 'measure': 32, 'barrier': 1})\n", - "Gate counts (w/ pre-init passes): OrderedDict({'rz': 4156, 'sx': 3185, 'ecr': 1262, 'x': 209, 'measure': 32, 'barrier': 1})\n" + "Gate counts (w/o pre-init passes): OrderedDict({'rz': 7419, 'sx': 6016, 'ecr': 2240, 'x': 323, 'measure': 32, 'barrier': 1})\n", + "Gate counts (w/ pre-init passes): OrderedDict({'rz': 4158, 'sx': 3186, 'ecr': 1262, 'x': 210, 'measure': 32, 'barrier': 1})\n" ] } ], @@ -459,7 +459,7 @@ "source": [ "### Visualize the results\n", "\n", - "The first plot shows that after a couple of iterations we estimate the ground state energy within ``~200 mH``. Remember, the quantum samples in this demo were pure noise. The signal here comes from *a priori* knowledge of the electronic structure and molecular Hamiltonian.\n", + "The first plot shows that after a couple of iterations we estimate the ground state energy within ``~200 mH`` (chemical accuracy is typically accepted to be ``1 kcal/mol`` $\\approx$ ``1.6 mH``). Remember, the quantum samples in this demo were pure noise. The signal here comes from *a priori* knowledge of the electronic structure and molecular Hamiltonian.\n", "\n", "The second plot shows the average occupancy of each spatial orbital after the final iteration. We can see that both the spin-up and spin-down electrons occupy the first five orbitals with high probability in our solutions." ] @@ -472,7 +472,7 @@ "outputs": [ { "data": { - "image/png": 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paamnhwgPu9SOq8z+jDJ7X9pQ3vNNmzbV5Zdfrr1797qtj6ioqErh3hVXXOH2ywYl6dChQ/rkk0905513ur2vqVOn6qGHHtKIESPUpUsXjR49Wg888IBSUlLc2m+bNm20YcMG5ebm6scff9SWLVtUXFys1q1bu7VfSc59z6WyX5LOBlKHDh3S2rVr3X6WlCT5+/urbdu2uuaaa7RkyRL5+PhoyZIlbunr008/1fHjx9WqVSvnvunQoUP6v//7P8XGxrqlz6q0bt1aYWFhbt03XShCqYuI1WpVfHy8UlNTnW0Oh0OpqanMdwJ4kGEYmjx5st555x395z//UVxcnKeHhHrkcDhUWFjo6WGgjvr376+dO3dqx44dzkePHj00atQo7dixo8Gdug7zXSrHVQ3lM8rd+9KG8p7Pzc3Vvn37FBUV5bY+fvWrX2nXrl0ubbt371ZMTIzb+iy3bNkyhYeHa/DgwW7vKz8/X15err+uent7y+FwuL1vqSy4iIqK0s8//6w1a9bolltucXufcXFxioyMdNkvZWdna/PmzY1qv1SuPJDas2ePPvnkEzVr1swj43Dn/mn06NH6+uuvXfZN0dHRmjp1qtasWeOWPqvy008/6eTJk27dN10oLt+7yCQlJWnMmDHq0aOHevbsqfnz5ysvL0/jxo3z9NBQR7m5uS5J9YEDB7Rjxw6FhoaqVatWHhwZ6mrSpEl688039e9//1uBgYHOa/6Dg4Pl5+fn4dGhLqZNm6ZBgwapVatWysnJ0Ztvvqn169ebetCA+hEYGFhpzhx/f381a9aM+d7gZPZxlSc++z3xGeWJfamn3vN/+tOfdNNNNykmJkZHjx5VcnKyvL29NXLkSLf1+cADD+jaa6/VE088oeHDh2vLli1avHixFi9e7LY+pbJf3JctW6YxY8bIx8f9v0bedNNNevzxx9WqVSt16tRJX331lZ555hndcccdbu13zZo1MgxD7du31969ezV16lR16NCh3vYL59sPTJkyRY899pjatWunuLg4TZ8+XdHR0RoyZIjb+jx16pQOHz6so0ePSpIz9IyMjPxFZ2jV1G9UVJR+//vfa/v27frggw9UWlrq3D+FhobKarXWe5/NmjXT448/rptvvllRUVHKyMjQwoULdeTIEd16661u2c5WrVpVCtt8fX0VGRmp9u3bu6XP0NBQzZo1S8OGDVNkZKT27dunBx98UG3btlViYuIF9+k2nr35Hy7E888/b7Rq1cqwWq1Gz549jS+++MLTQ8IFWLdunSGp0mPMmDGeHhrqqKqfoyRj2bJlnh4a6uiOO+4wYmJiDKvVajRv3tzo37+/8fHHH3t6WKgnZtweHhcfM4+rPPHZ74nPqIayLzXjPX/bbbcZUVFRhtVqNVq0aGHcdtttxt69e93ap2EYxvvvv2907tzZsNlsRocOHYzFixe7vc81a9YYkoxdu3a5vS/DMIzs7Gzj/vvvN1q1amXY7XajdevWxiOPPGIUFha6td8VK1YYrVu3NqxWqxEZGWlMmjTJyMzMrLf1n28/4HA4jOnTpxsRERGGzWYz+vfv/4u/5+frc9myZVW+npyc7LZ+Dxw4UO3+ad26dW7p8/Tp08bvfvc7Izo62rBarUZUVJRx8803G1u2bHHbdlYlJibGePbZZ93WZ35+vjFgwACjefPmhq+vrxETE2NMmDDBSEtL+0V9uovFMAzjl0dbAAAAAAAAQO0xpxQAAAAAAABMRygFAAAAAAAA0xFKAQAAAAAAwHSEUgAAAAAAADAdoRQAAAAAAABMRygFAAAAAAAA0xFKAQAAAAAAwHSEUgAAAAAAADAdoRQAnGP9+vWyWCxav369p4dSL2bOnCmLxeLpYQAAAA8aO3asAgICalVrsVg0c+bMeu3/+uuv1/XXX1+v66ytsWPHKjY21iN9A6gZoRQAt3r11VdlsVj05ZdfOts++uijej/QuRAvvviiXn31VU8Pw8X111+vzp07e3oYAACggfj222/1hz/8QS1atJDNZlN0dLRGjRqlb7/91rQxfP7555o5c6YyMzPd3ldsbKx++9vfur0fAA0DoRQA03300UeaNWuWp4dRbSh13XXX6fTp07ruuuvMHxQAAMAZK1eu1FVXXaXU1FSNGzdOL774osaPH69169bpqquu0jvvvOOWfk+fPq1HH33U+fzzzz/XrFmzTAmlAFxafDw9AACoD4ZhqKCgQH5+fr94XV5eXrLb7fUwKgAAgAuzb98+jR49Wq1bt9Z///tfNW/e3Pna/fffr759+2r06NH6+uuv1bp162rXk5eXJ39//zr1zXEQALNwphQAU40dO1YLFy6UVDZfQfmjnMPh0Pz589WpUyfZ7XZFRERo4sSJ+vnnn13WU35q95o1a9SjRw/5+fnp5ZdfliQtW7ZMN9xwg8LDw2Wz2dSxY0e99NJLlZb/9ttvtWHDBucYyuc5qG5Oqbffflvx8fHy8/NTWFiY/vCHP+jIkSOVti8gIEBHjhzRkCFDFBAQoObNm+tPf/qTSktLL+h7ZrFYNHnyZL377rvq3LmzbDabOnXqpNWrV1eq3bhxo66++mrZ7Xa1adPG+T2pyt///nfn9oSGhmrEiBH68ccfna8vW7ZMFotFS5cudVnuiSeekMVi0UcffXRB2wMAAM7vqaeeUn5+vhYvXuwSSElSWFiYXn75ZeXl5WnevHnO9vJ5JL/77jv9v//3/xQSEqI+ffq4LLt//34lJibK399f0dHRmj17tgzDcKmpOKfUzJkzNXXqVElSXFyc87jp4MGDkmp33PVLHDx4UBaLRU8//bQWL16sNm3ayGaz6eqrr9bWrVsr1ZcfL9ntdnXu3Lnas8lqc8yZnJwsLy8vpaamuix71113yWq16n//+1+9bSdwqeJMKQCmmjhxoo4ePaq1a9fqb3/7W5Wvv/rqqxo3bpz++Mc/6sCBA3rhhRf01Vdf6bPPPpOvr6+zdteuXRo5cqQmTpyoCRMmqH379pKkl156SZ06ddLNN98sHx8fvf/++7r33nvlcDg0adIkSdL8+fN13333KSAgQI888ogkKSIiotpxl4/p6quvVkpKitLT07VgwQJ99tln+uqrr9S0aVNnbWlpqRITE9WrVy89/fTT+uSTT/SXv/xFbdq00T333HNB37eNGzdq5cqVuvfeexUYGKjnnntOw4YN0+HDh9WsWTNJ0s6dOzVgwAA1b95cM2fOVElJiZKTk6vcrscff1zTp0/X8OHDdeedd+rEiRN6/vnndd111zm3Z9y4cVq5cqWSkpJ04403qmXLltq5c6dmzZql8ePH6ze/+c0FbQsAADi/999/X7Gxserbt2+Vr1933XWKjY3Vhx9+WOm1W2+9Ve3atdMTTzzhEjiVlpZq4MCBuuaaazRv3jytXr1aycnJKikp0ezZs6vsZ+jQodq9e7eWL1+uZ599VmFhYZLkDMpqc9xVH958803l5ORo4sSJslgsmjdvnoYOHar9+/c7jw8//vhjDRs2TB07dlRKSopOnjypcePG6bLLLqu0vtoccz766KN6//33NX78eO3cuVOBgYFas2aNXnnlFc2ZM0fdunWrt+0DLlkGALjRsmXLDEnG1q1bnW2TJk0yqtr9fPrpp4Yk44033nBpX716daX2mJgYQ5KxevXqSuvJz8+v1JaYmGi0bt3apa1Tp05Gv379KtWuW7fOkGSsW7fOMAzDKCoqMsLDw43OnTsbp0+fdtZ98MEHhiRjxowZzrYxY8YYkozZs2e7rPPKK6804uPjK/V1rn79+hmdOnVyaZNkWK1WY+/evc62//3vf4Yk4/nnn3e2DRkyxLDb7cahQ4ecbd99953h7e3t8v0+ePCg4e3tbTz++OMu/ezcudPw8fFxaT927JgRGhpq3HjjjUZhYaFx5ZVXGq1atTKysrLOuy0AAODCZGZmGpKMW265pca6m2++2ZBkZGdnG4ZhGMnJyYYkY+TIkZVqy49R7rvvPmebw+EwBg8ebFitVuPEiRPOdklGcnKy8/lTTz1lSDIOHDhQab21Pe7q169flcdd54qJiTEGDx7sfH7gwAFDktGsWTPj1KlTzvZ///vfhiTj/fffd7Z1797diIqKMjIzM51tH3/8sSHJiImJcbbV5Zhz586dhtVqNe68807j559/Nlq0aGH06NHDKC4uPu+2ADg/Lt8D0GC8/fbbCg4O1o033qiMjAznIz4+XgEBAVq3bp1LfVxcnBITEyutp+K8UllZWcrIyFC/fv20f/9+ZWVl1XlcX375pY4fP657773XZY6FwYMHq0OHDlX+hfLuu+92ed63b1/t37+/zn2XS0hIUJs2bZzPu3btqqCgIOc6S0tLtWbNGg0ZMkStWrVy1l1xxRWVvkcrV66Uw+HQ8OHDXb7PkZGRateuncv3OTIyUgsXLtTatWvVt29f7dixQ0uXLlVQUNAFbwsAAKhZTk6OJCkwMLDGuvLXs7OzXdrPPQ6paPLkyc6vy6cIKCoq0ieffHJBY63v467q3HbbbQoJCXE+Lz+DrPxY6NixY9qxY4fGjBmj4OBgZ92NN96ojh07uqyrLsecnTt31qxZs/TXv/5ViYmJysjI0GuvvSYfHy46AuoD7yQADcaePXuUlZWl8PDwKl8/fvy4y/O4uLgq6z777DMlJydr06ZNys/Pd3ktKyvL5UClNg4dOiRJzssDK+rQoYM2btzo0ma32yvN/RASElJpXqy6qBg0VbXOEydO6PTp02rXrl2luvbt27vM/7Rnzx4ZhlFlrSSXSyQlacSIEfr73/+uDz/8UHfddZf69+9/wdsBAADOrzxsKg+nqlNdeFXdMZKXl1elSdEvv/xySXLOEVVX9X3cVZ1zj4XKA6ryY6Hy47XqjoW2b9/ufF7XY86pU6fqrbfe0pYtW/TEE09UCrkAXDhCKQANhsPhUHh4uN54440qXz836KnqTnv79u1T//791aFDBz3zzDNq2bKlrFarPvroIz377LN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" ] @@ -485,10 +485,13 @@ "import matplotlib.pyplot as plt\n", "\n", "# Data for energies plot\n", - "x1 = range(iterations)\n", "n2_exact = -109.10288938\n", - "y1 = [np.min(energies) for energies in e_hist]\n", - "yt1 = [float(i) for i in range(-110, -106)]\n", + "x1 = range(iterations)\n", + "e_diff = [abs(np.min(energies) - n2_exact) for energies in e_hist]\n", + "yt1 = [1.0, 1e-1, 1e-2, 1e-3, 1e-4]\n", + "\n", + "# Chemical accuracy (+/- 1 milli-Hartree)\n", + "chem_accuracy = 0.001\n", "\n", "# Data for avg spatial orbital occupancy\n", "y2 = avg_occupancy[:num_orbitals] + avg_occupancy[num_orbitals:]\n", @@ -497,15 +500,17 @@ "fig, axs = plt.subplots(1, 2, figsize=(12, 6))\n", "\n", "# Plot energies\n", - "axs[0].plot(x1, y1, label=\"Estimated\")\n", + "axs[0].plot(x1, e_diff, label=\"energy error\", marker=\"o\")\n", "axs[0].set_xticks(x1)\n", "axs[0].set_xticklabels(x1)\n", "axs[0].set_yticks(yt1)\n", "axs[0].set_yticklabels(yt1)\n", - "axs[0].axhline(y=n2_exact, color=\"red\", linestyle=\"--\", label=\"Exact\")\n", + "axs[0].set_yscale(\"log\")\n", + "axs[0].set_ylim(1e-4)\n", + "axs[0].axhline(y=chem_accuracy, color=\"#BF5700\", linestyle=\"--\", label=\"chemical accuracy\")\n", "axs[0].set_title(\"Approximated Ground State Energy vs SQD Iterations\")\n", "axs[0].set_xlabel(\"Iteration Index\", fontdict={\"fontsize\": 12})\n", - "axs[0].set_ylabel(\"Energy (Ha)\", fontdict={\"fontsize\": 12})\n", + "axs[0].set_ylabel(\"Energy Error (Ha)\", fontdict={\"fontsize\": 12})\n", "axs[0].legend()\n", "\n", "# Plot orbital occupancy\n",