{ "cells": [ { "cell_type": "markdown", "id": "83d3ac05-944d-42fc-bd8b-b2cf2984b08e", "metadata": {}, "source": [ "# Quantum Fourier transform\n", "\n", "In this notebook we will see how we can use the quantum fourier transformation (qft) for analysing\n", "classical data." ] }, { "cell_type": "code", "execution_count": 1, "id": "3e62d7b8-1927-4e8b-aaf2-8fed260a41b1", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from trainsum.numpy import trainsum as ts\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "42730aa6-b672-442e-9b5d-2ca8533c090a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# \"Acquisition\" parameters\n", "sw = 5000.0 # spectral width in Hz\n", "dt = 1.0 / sw # dwell time (s)\n", "N = 2048 # number of acquired points\n", "noise_level = 0.02 # noise level\n", "t = np.arange(N) * dt # time starts at 0\n", "\n", "# Resonance parameters\n", "freqs0 = np.array([500.0, 1200.0, 800.0]) # resonance offsets in Hz\n", "amps = np.array([1.0, 0.7, 0.5]) # relative amplitudes\n", "Tg = np.array([0.02, 0.015, 0.03]) # Gaussian decay constants in s\n", "phases = np.deg2rad([0.0, 30.0, -45.0]) # phases in radians\n", "\n", "# Build simulated FID: sum of Gaussian-decaying complex exponentials\n", "fid = np.zeros(N, dtype=complex)\n", "for A, f0, Tg_i, phi in zip(amps, freqs0, Tg, phases):\n", " fid += A * np.exp(-t / Tg_i) * np.exp(1j * (2 * np.pi * f0 * t + phi))\n", "fid += noise_level * np.random.randn(N)\n", "\n", "# plot data\n", "plt.figure(figsize=(6,4))\n", "plt.plot(t * 1e3, np.real(fid))\n", "plt.xlabel(\"Time (ms)\")\n", "plt.ylabel(\"Signal (a.u.)\")\n", "plt.xlim(0, 100)\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3d93b3aa-a1ff-4e5a-9f96-bd9966a5c9e3", "metadata": {}, "source": [ "In this cell we define some \"realistic\" data as is often encountered in spectroscopy. The data is some\n", "decaying oscillatory signal which can be converted to a spectrum with lorentzian peaks with a fourier\n", "transformation" ] }, { "cell_type": "code", "execution_count": 3, "id": "31fd5193-1134-4728-9cdc-d7b797399633", "metadata": {}, "outputs": [ { "data": { "image/png": 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GERF5E4u9SJy8Xbvx5RhrkKeyexXJsmXLnNEOIiKvZR5QuLKSJ0czyFPZFGA8+uijWL58OYKDg/Hoo49Wee7q1asd0jAiIm9hmeTpuus5O9+DqLpsCjBCQkLEuhchISFObRARkbdxZw4GRzDIU9kUYBhPi3CKhIjIlEUOhgunSIg8lcN2UyUi8lVaV1fyNM7B4BwJeSi7A4ysrCyMHj0a9evXh5+fH2Qymcl/RES+Rmux2Zkrp0iceimiarN7Fcm4ceOQnp6OmTNnIjo62uqeJEREvsTle5FUcW0iT2F3gPHXX39hx44drNpJRFTOfATD/LajsZIneQO7p0hiYmL4C01EZERrVgfD6XuRGAcYTr0SUfXZHWAsXLgQ06dPx8WLF53QHCIi7+P6vUgqvzaRp7B7imTEiBEoLi5G06ZNoVQqIZfLTe7PyclxWOOIiLyB+ZSIayt5OvVSRNVmd4CxcOFCJzSDiMh7WY5gsNAWkd0BxtixY53RDiIir+XOUuGML8hT2R1g5OfnWz0ukUigUChMtnEnIvIF7pwiYdI9eSq7A4zQ0NAqa180bNgQ48aNw+zZsyGVslAoEd35LHdTde71mINB3sDuCGD58uWoX78+Xn31VaxZswZr1qzBq6++igYNGmDRokV45pln8PHHH2PevHk2Pd9nn32GuLg4BAQEICEhAfv27avy/NzcXEycOBHR0dFQKBRo0aIF1q9fb+/LICJyGMtS4czBILJ7BGPFihWYP38+hg8fLh4bMmQI2rdvjyVLliA1NRWxsbF455138Oqrr1b5XKtWrUJycjIWL16MhIQELFy4EAMGDMDp06cRERFhcX5ZWRn69euHiIgI/PTTT2jQoAEuXbqE0NBQe18GEZHDuLpUuPGzM74gT2X3CMauXbvQuXNni+OdO3fG7t27AQA9evRAenr6bZ9rwYIFmDBhApKSktCmTRssXrwYSqUSS5cutXr+0qVLkZOTgzVr1uCee+5BXFwcevXqhY4dO9r7MoiIHMb1dTBYyZM8n90jGDExMfjqq68spkC++uorxMTEAABu3ryJsLCwKp+nrKwMBw4cwIwZM8RjUqkUffv2FQMVc7/++isSExMxceJErF27FvXq1cPIkSMxbdq0SjdaU6lUUKlU4m1DkqparYZarb79C/YghvZ6W7u9Gfvc9byxzzVmpTzVao1T269Wa0yuXdNreWOfeztv7XN72mt3gPHBBx9g2LBh2LBhA7p27QoA2L9/P9LS0vDTTz8BAP7++2+MGDGiyufJzs6GVqtFZGSkyfHIyEikpaVZfcz58+exZcsWjBo1CuvXr8fZs2fxwgsvQK1WY/bs2VYfM3fuXMyZM8fi+ObNm6FUKm/7ej1RSkqKu5vgc9jnrudNfZ6bJwNQkfx+8NAh4LLzRhbO5QOGt++Lly5h/foLDnleb+rzO4W39XlxcbHN50qEaoyvXbx4EUuWLMHp06cBAC1btsSzzz6LuLg4m5/j2rVraNCgAXbt2oXExETx+NSpU/Hnn39i7969Fo9p0aIFSktLceHCBXHEYsGCBXj//feRkZFh9TrWRjBiYmKQnZ2N4OBgm9vrCdRqNVJSUtCvXz+LCqrkHOxz1/PGPh/8yS6cuV4IiUSfEzH/8fZ4qGO0067398VbGPnV3wCAEV0a4u2hbWr0fN7Y597OW/s8Pz8f4eHhyMvLu+1nqN0jGAAQFxeHuXPnVqtxBuHh4ZDJZMjKyjI5npWVhaioKKuPiY6OhlwuN5kOad26NTIzM1FWVma1BodCoYBCobA4LpfLveof1Zg3t91bsc9dz5v63DBBIpdKUabVQSqTOrXtUqP3QIlE4rBreVOf3ym8rc/taWu1C1UUFxcjLS0NR48eNfnPVv7+/oiPj0dqaqp4TKfTITU11WREw9g999yDs2fPQme06PzMmTOIjo5mgS8ichtdeVann0xSftvJ12MlT/ICdo9g3LhxA0lJSdiwYYPV+7Varc3PlZycjLFjx6JLly7o1q0bFi5ciKKiIiQlJQEAxowZgwYNGoijJc8//zw+/fRTTJ48Gf/3f/+Hf/75B//5z3/w73//296XQUTkMIY6GH7S8gDD2Z/63E2VvIDdAcaUKVOQm5uLvXv3onfv3vjll1+QlZWFt99+G/Pnz7fruUaMGIEbN25g1qxZyMzMRKdOnbBx40Yx8TM9Pd2kGmhMTAw2bdqEF198ER06dECDBg0wefJkTJs2zd6XQUTkMIY6GHKZ/v3K+XuRWP+ZyJPYHWBs2bIFa9euRZcuXSCVStGoUSP069cPwcHBmDt3LgYPHmzX802aNAmTJk2yet+2bdssjiUmJmLPnj32NpuIyGkMUyQyF41gsA4GeQO7czCKiorEKpthYWG4ceMGAKB9+/Y4ePCgY1tHROQFDFMkhhEMlxbacu6liKrN7gCjZcuW4vLUjh07YsmSJbh69SoWL16M6GjnLcsiIvJUhjpbYpKnC0uFMweDPJXdUySTJ08Wa07Mnj0bAwcOxLfffgt/f38sX77c0e0jIvJ4OrMkT6fvRWKy2ZlTL0VUbXYHGE8++aT4c3x8PC5duoS0tDTExsYiPDzcoY0jIvIGOldPkRgtg+UIBnmqahXaMqZUKnHXXXc5oi1ERF5Ja14Hw6W7qTLAIM9kd4AhCAJ++uknbN26FdevXzcpegUAq1evdljjiIi8gVhoS+qGJE/GF+ShqlUHY8mSJejTpw8iIyMhkUhu/yAiojuYeaEt1+ZgMMIgz2R3gPH1119j9erVGDRokDPaQ0TkdXSuXkXCQlvkBexephoSEoImTZo4oy1ERF7J9XUwKn5mDgZ5KrsDjDfeeANz5sxBSUmJM9pDROR1xCRPt1TydOqliKrN7imS4cOHY+XKlYiIiEBcXJzF1q2s5klEvkRnNJzg57K9SJiDQZ7P7gBj7NixOHDgAJ588kkmeRKRz9MafcDLxe3aXfehzxwM8lR2Bxjr1q3Dpk2b0KNHD2e0h4jIqxiPILhjmSpHMMhT2Z2DERMTg+DgYGe0hYjI6xiXAjKsItGa1Qdy5jU9Kb7Q6gScvJbv0hEc8lx2Bxjz58/H1KlTcfHiRSc0h4jIuxhPkSj8pBbHnMGkkqcH7af6zrpTGPTxDixIOePuppAHqNZeJMXFxWjatCmUSqVFkmdOTo7DGkdE5Om0OuMcjPIAw7kDGCbTIloPGi1YuvMCAODTrWfx8oCWbm4NuZvdAcbChQud0AwiIu+ksxJgOL/QFndTJc9XrVUkRESkZ7qKRB9gaLSuq+TpiYW2uLiQgGrkYBARUQXDFIVMKnFhoS3L63sSQ6BFvo2/BURENaAuT7iQSSWQSg2rSFxXydMD4wsx0CLfxgCDiKgGDMGE3GgEQ+PkT33upkregAEGEVENqLUVUyQyqWsqeRo/uycGGB7YJHIDBhhERDUgbnQmk0Jant3o7DoYxgGMs5fEVocn1eYg97FpFcmjjz5q8xOuXr262o0hIvI2mvKymn7GSZ5Oz8Go+NkTV5EQATaOYISEhIj/BQcHIzU1Ffv37xfvP3DgAFJTUxESEuK0hhIReSLDklQ/oyRPp+dgGP3siatIiAAbRzCWLVsm/jxt2jQMHz4cixcvhkwmAwBotVq88MIL3KOEiHyOxmiKpHwrEueXCvfwJE8PbBK5gd05GEuXLsXLL78sBhcAIJPJkJycjKVLlzq0cUREnk6jrZgikRkqefr4MlUPbBK5gd0BhkajQVpamsXxtLQ06Jy8gyARkaepSPKUQCZx1TLVip89ZQTDJBfEM5pEbmZ3qfCkpCSMHz8e586dQ7du3QAAe/fuxbx585CUlOTwBhIReTK1WMlTCkMBS1cmeXpKDoZa69nTNuR6dgcYH3zwAaKiojB//nxkZGQAAKKjo/HKK6/gpZdecngDiYg8mbZ85FYuk7humarR83vKZ7nGaATbQ5pEbmZ3gCGVSjF16lRMnToV+fn5AMDkTiLyWcaFtvxkrikVLnjgdu0cwSBz1Sq0pdFo8Mcff2DlypWQlEfs165dQ2FhoUMbR0Tk6SpKhRsV2nLyh75xcS1P+TDXeGLFL3Iru0cwLl26hIEDByI9PR0qlQr9+vVDUFAQ3n33XahUKixevNgZ7SQi8kjGm53J3LLZmYcEGDrTaRtBEMQvoOSb7B7BmDx5Mrp06YJbt24hMDBQPP7II48gNTXVoY0jIvJ0xqtIXLddu+ctU1WbjWB4ytQNuY/dIxg7duzArl274O/vb3I8Li4OV69edVjDiIi8gUklTxctU9XqPDsHA9D3gZ+skpPJJ9g9gqHT6aDVai2OX7lyBUFBQQ5pFBGRtzCp5OmGvUg8ZorEbATDU9pF7mN3gNG/f38sXLhQvC2RSFBYWIjZs2dj0KBBjmwbEZHHM97sTMzBcOUUiQePYJBvs3uKZP78+RgwYADatGmD0tJSjBw5Ev/88w/Cw8OxcuVKZ7SRiMhjiVMkRiMYGq2TAwyd5+VgaMwqOXtK4EPuY3eA0bBhQxw5cgSrVq3CkSNHUFhYiPHjx2PUqFEmSZ9ERL7AZARD4pokT+MREmePltiKIxhkzu4AAwD8/PwwatQojBo1ytHtISLyKmIOhtF27U5fpmqyJNQzPsjNczA8JfmU3MfuHAyZTIY+ffogJyfH5HhWVpbJDqtERL6gYoqkYpmq8+tgVPzsKR/k5iMYntIuch+7AwxBEKBSqdClSxecOHHC4j4iIl9SMYIhrRjBcOEUiad8jqt1HMEgU3YHGBKJBD///DOGDBmCxMRErF271uQ+IiJfojGu5GnIwXBy1WzzL3OekFBpntjKAIOqNYIhk8nw0Ucf4YMPPsCIESPw9ttvc/SCiHySuBeJzHWlws2f3xNqTpjnYDDJk6qV5GnwzDPPoHnz5hg2bBi2b9/uqDYREXkNwwepTGq0TNWFm50B+imTGr2ZO4BaxxEMMmX3CEajRo1Mkjn79OmDPXv24PLly9VuxGeffYa4uDgEBAQgISEB+/bts+lx33//PSQSCR5++OFqX5uIqCYM39yNRzCcPaJgPmLsAQMYXEVCFuwOMC5cuIC6deuaHGvWrBkOHTqE8+fP292AVatWITk5GbNnz8bBgwfRsWNHDBgwANevX6/ycRcvXsTLL7+Mnj172n1NIiJHqRjBcOEUieB5owXc7IzM2R1gVCYgIACNGjWy+3ELFizAhAkTkJSUhDZt2mDx4sVQKpVYunRppY/RarUYNWoU5syZgyZNmtSk2URENWJIbpTLpGKSpyuXqepvu//D3HyZqvmqEvI9Nk3b1alTB2fOnEF4eDjCwsKqXC1iXh+jKmVlZThw4ABmzJghHpNKpejbty92795d6ePefPNNREREYPz48dixY0eV11CpVFCpVOLt/Px8AIBarYZarba5rZ7A0F5va7c3Y5+7nrf1eZlh80dBB0Gn/1mj0zm1/RqN6YaTqjI1AmpQhsgRfa5Sa0xuF5WUec2/oTt42++5gT3ttSnA+PDDD8WdUo03Oqup7OxsaLVaREZGmhyPjIxEWlqa1cf89ddf+Oqrr3D48GGbrjF37lzMmTPH4vjmzZuhVCrtbrMnSElJcXcTfA773PW8pc/TL0sBSPHP6TRszz4FwA9lGi3Wr1/vtGtezdBf02Dz5hTUktf8eWvS58euSQBURDk7du9FTpr7R1Y8nbf8nhsUFxfbfK5NAcbYsWOt/uxqBQUFGD16NL744guEh4fb9JgZM2YgOTlZvJ2fn4+YmBj0798fwcHBzmqqU6jVaqSkpKBfv36Qyx3wbkK3xT53PW/r802rjgDZWWjfri36t4vE7IN/QidI8MADDzitNtDvuYeBnIo8tfvuvx91ayuq/XyO6PPL2y8Al/4Rb7fr2BkPtIuqdpvudN72e25gmAWwhU0Bhj1PaM+Hdnh4OGQyGbKyskyOZ2VlISrK8hfz3LlzuHjxIoYMGSIe0xk2GvLzw+nTp9G0aVOTxygUCigUln94crncq/5RjXlz270V+9z1vKXPDakHCrkfAhX+4nGJzA9ymcPS3EyYjwtI/fwc0lc16XMBpsGURpB4xb+fu3nL77mBPW21KcAIDQ29bSQuCAIkEgm0Wm2V5xnz9/dHfHw8UlNTxaWmOp0OqampmDRpksX5rVq1wrFjx0yOvf766ygoKMBHH32EmJgYm69NROQIWqPNzvyMAgqNVoDcSdszWSR5ekA+pfkqkhK17Z8FdGeyKcDYunWr0xqQnJyMsWPHokuXLujWrRsWLlyIoqIiJCUlAQDGjBmDBg0aYO7cuQgICEC7du1MHh8aGgoAFseJiFxBLW52JhU3OwP0qygC4ZwIwxMreZoX2ipVe0DUQ25lU4DRq1cvpzVgxIgRuHHjBmbNmoXMzEx06tQJGzduFBM/09PTIZU6Z5iRiKimjEcw5GYjGM5iHlB4Qs0Ji1Lh5uVGyedUu7pscXEx0tPTUVZWZnK8Q4cOdj/XpEmTrE6JAMC2bduqfOzy5cvtvh4RkaMYpgb8yit5SiT6yprO/IA1DzA8YADDog4G9yIhuwOMGzduICkpCRs2bLB6vz05GERE3s54BAMA5FIpyrQ6iykDZ1xTvO0BEYZ5DkaZhiMYvs7uuYcpU6YgNzcXe/fuRWBgIDZu3IgVK1agefPm+PXXX53RRiIij6UWAwz926mfrHzDM6eOYJjfdn+AYT4lpPGEzFNyK7tHMLZs2YK1a9eiS5cukEqlaNSoEfr164fg4GDMnTsXgwcPdkY7iYg8krb8g1RWHlgYRjLMpwwcSWee5OkB0xHmIxjOzEEh72D3CEZRUREiIiIAAGFhYbhx4wYAoH379jh48KBjW0dE5OEMH6TiFEl5oqczv8GbT4l4QHwhjuQElq/NdWaARd7B7gCjZcuWOH36NACgY8eOWLJkCa5evYrFixcjOjra4Q0kIvJkmkqnSJy5isT0tietIgn01wcYnCIhu6dIJk+ejIyMDADA7NmzMXDgQHz77bfw9/fnig4i8jkao1UkQEWgYT5l4EgWUyQekINheL0cwSADuwOMJ598Uvw5Pj4ely5dQlpaGmJjY23eH4SI6E6hMV9FInP+lu0eWWirPKAQRzBYB8PnVbsOhoFSqcRdd93liLYQEXkdrcUUiWEEw8cKbelMRzBYB4PsDjAEQcBPP/2ErVu34vr16+JmYwarV692WOOIiDxdRalw01UkzsxBMA8wPGIEQ2M6guHMKSLyDnYHGFOmTMGSJUvQp08fREZGOm07YiIib2BYpmqxisSFSZ6esCRUrTPPwWCA4evsDjC+/vprrF69GoMGDXJGe4iIvIrGaLMz/f8NdTBcl+TpCZU8Df0gTpF4QNBD7mX3MtWQkBA0adLEGW0hIvI6FkmeUqnJcWewqIPhAYMFhoBKaZgiYQ6Gz7M7wHjjjTcwZ84clJSUOKM9RERexZBrIeZguGIEwyzA8ISaE2rzOhicIvF5dk+RDB8+HCtXrkRERATi4uIgl8tN7mc1TyLyFRqtTkzylMtMV5E4NQfD7LPbE5I8NTpOkZApuwOMsWPH4sCBA3jyySeZ5ElEPu1mURkAQCoBwpT+AAC5C1eRyGUSqLUCPGGwQK0xnyLxgEaRW9kdYKxbtw6bNm1Cjx49nNEeIiKvcaNABQCoW1sBmdkqkjInfoM31L2Qy6RQa7UeUQfDkHMR4M8RDNKzOwcjJiYGwcHBzmgLEZFXKVFrAQC1FRXf1eR+5YW2NK4YwdBfyxMCDI1FqXCOYPg6uwOM+fPnY+rUqbh48aITmkNE5D0MQYShPLjxz85N8jRcqzzA8IAcDEMuitKflTxJr1p7kRQXF6Np06ZQKpUWSZ45OTkOaxwRkScr0xoCjIrvago/5292VjFFog9mzOtiuIPh9QbIuYqE9OwOMBYuXOiEZhAReR/zFSTGP5c5cYpEY/5h7gEBhvkqEu6mSnYFGGq1Gn/++SdmzpyJxo0bO6tNRERewfCt3d8owPB3QZKnIaHSMFri7hEMnU4QR1VqleejqJwYYJF3sCsHQy6X4+eff3ZWW4iIvIoYYPgZjWC4YIrEMIKhKB8tcHcOhvGS1KCA8gCjPAGWfJfdSZ4PP/ww1qxZ44SmEBF5lzIrSZ7+Tp4i0ekEMcnTMILh7lUkxktSgwP0eXklDDB8nt05GM2bN8ebb76JnTt3Ij4+HrVq1TK5/9///rfDGkdE5Mms5WD4O3kEw3i0wJCD4e4Aw/i1GkYwNDoBaq3OpG/It9gdYHz11VcIDQ3FgQMHcODAAZP7JBIJAwwi8hmGD1a5n2UOhrNyEIxHCwLlzp+OsYVxQmcto5ogJWotAwwfZneAceHCBWe0g4jI6ximQYyTPIMD9W+r+SVqp1zTOMCo5a+/VpmbAwxDWXS5TAKFnxRSib5WR6laK06ZkO+pUWgpCAIEDyjwQkTkDoY8A8NUBQCEBOr3JMl1UoBhMkVSXtTKmUtibaHWVEwVSSQSKPz07VKpuZLEl1UrwPjf//6H9u3bIzAwEIGBgejQoQO+/vprR7eNiMijGQKMQJMAQ/+N/VZxmVOuaZgO8ZNKxJETt0+R6CraBLimmil5PrunSBYsWICZM2di0qRJuOeeewAAf/31F5577jlkZ2fjxRdfdHgjiYg8UUlZeYDhX/FdzVAq21nf3jVGiaWGVSTuHsHQmCW7ViS6coTbl9kdYHzyySdYtGgRxowZIx576KGH0LZtW7zxxhsMMIjIZ5SWj2Ao/SveSv2c/O1dHMGQScQPcncHGGqzkulyDxlZIfeye4okIyMD3bt3tzjevXt3ZGRkOKRRRETeoLjMMgfD2dMWGqOt2l2xNbwtjIMewHjLegYYvszuAKNZs2b44YcfLI6vWrUKzZs3d0ijiIi8gbUcjIpv78750DfJwfCQEQzjoEf/f32g4e52kXvZPUUyZ84cjBgxAtu3bxdzMHbu3InU1FSrgQcR0Z3KMEVinIPh7CkS43wHfw8ZKTDftp5TJARUYwTjsccew969exEeHo41a9ZgzZo1CA8Px759+/DII484o41ERB5JTPKUV3xXc/4UScV0hFwcwXBvWW7D5mt+UvMkTwYYvszuEQwAiI+PxzfffOPothAReRVxisTfcopEJ+hLeMukEquPrS7D1IufVAKFk6djbKXRWh/BKNNwFYkvYw1XIqJqspaD4We08ZkzvsGbTJF4SA6G5SoS1sEgO0YwpFJ9hbaqSCQSaDSaGjeKiMgbVEyRWI5gAPoPWOMVJo6g1nniMtXyURXmYJARmwOMX375pdL7du/ejY8//hg6HX+ZiMh3FJbqv1DVDqh4KzUNMBw/RaDRVuQ7eMpy0Iq9SMpzMBhgEOwIMIYOHWpx7PTp05g+fTp+++03jBo1Cm+++aZDG0dE5Km0OgEFKn2AEWwUYMik+g2/VBodCks1qFPL36HXNc538JQRDEPVUn+zQlvurs9B7lWtHIxr165hwoQJaN++PTQaDQ4fPowVK1agUaNGjm4fEZFHMoxeAECQ2Y6h4bUVAIAbhSqHX7dMrIPhOctUi8tMk10Nq1vUrIPh0+wKMPLy8jBt2jQ0a9YMJ06cQGpqKn777Te0a9fOWe0jIvJIN4v0wYPSXyaOJBiEB+kDjJtOCDA0RvkO/n6ekUxZIpZMLw8wmORJsGOK5L333sO7776LqKgorFy50uqUCRGRrzh7vRAAEFe3lsV9tco/aA0fvI5kyHfwl0nhL/OM7dqLy/SjOYY9WZiDQYAdAcb06dMRGBiIZs2aYcWKFVixYoXV81avXu2wxhEReaq8EjUAICJYYXGfYZdTZ+yoaggmFHLPWaZqPkVi8Mep65h0H7eQ8FU2Bxhjxoy57TJVIiJfodKYJjYaMyxNLXVChU3DdRV+soo9P9w9RVIeYCjLX/f3f18GABy+nOuuJpEHsDnAWL58uRObQUTkXSpGEizrXIgBhhOmSIwDG08bwVAqqlUcmu5QHlHJ87PPPkNcXBwCAgKQkJCAffv2VXruF198gZ49eyIsLAxhYWHo27dvlecTETlDxUiCtREM/bFSJ0yRqKxNkWh1EAT3LQkVA4zyKZLEJnXd1hbyHG4PMFatWoXk5GTMnj0bBw8eRMeOHTFgwABcv37d6vnbtm3DE088ga1bt2L37t2IiYlB//79cfXqVRe3nIh8mWHUwHwFCVBRYGtByhmHX1dVPu2i8KtYpioIFVumu0OJ2pDkqQ8wXhvc2uQ2+Sa3BxgLFizAhAkTkJSUhDZt2mDx4sVQKpVYunSp1fO//fZbvPDCC+jUqRNatWqFL7/8EjqdDqmpqS5uORH5MuMPenNF5QW45DLH562JRa38pCbBjTtXbBSblUwPNqsLQr7JrRNmZWVlOHDgAGbMmCEek0ql6Nu3L3bv3m3TcxQXF0OtVqNOnTpW71epVFCpKtai5+fnAwDUajXUanUNWu96hvZ6W7u9Gfvc9bylz2+V18Hwk1i2dVS3hthwPBMxYUqHv47S8tECPwkg0VXkeBSVlEEuqd4oRk37vLg8oPKX6Z/DT6IPdkrUWpSVlXGBgBXe8ntuzp72ujXAyM7OhlarRWRkpMnxyMhIpKWl2fQc06ZNQ/369dG3b1+r98+dOxdz5syxOL5582YolUr7G+0BUlJS3N0En8M+dz1P7/M9aTIAEmSkn8P69WdN7ksvBAA/5OQXYv369Q697vmLUgBSXDh7BpuKT0MCGQRIsGFzCkJqWJW8un2enavvi8P79yLvNFCiAQA/CALw27oNsDLIQ+U8/ffcXHFxsc3nenXK77x58/D9999j27ZtCAgIsHrOjBkzkJycLN7Oz88X8zaCg4Nd1VSHUKvVSElJQb9+/SCXcwjSFdjnructff7+qe0ASvFYn27o0cw0qfHs9ULMP7YLkPlj0KA+Dr3u5lVHgRuZ6Ni+LQbfHYvXDqaiqEyL7j17o1Hd6n1pqmmfv3VsG6Aqw/29eqJVVBDUWh2m//0HAKDX/f0QEui5/47u4i2/5+YMswC2cGuAER4eDplMhqysLJPjWVlZiIqKqvKxH3zwAebNm4c//vgDHTp0qPQ8hUIBhcKyEI5cLveqf1Rj3tx2b8U+dz1P7/M8/dd0xIbXtmhncC39F57iMq3DX4O6PJkz0F/fPyGBchSVaVGsEWp8rer2uSEHI1ipKH8OwE8qgUYnQCNIPfrf0d08/ffcnD1tdevAlb+/P+Lj400SNA0Jm4mJiZU+7r333sNbb72FjRs3okuXLq5oKhGRSKPViTuphlr5dh5UvrtqmVbn8FoY5stjg8uvb6gs6mqCIIgl0Y0reTqzFgh5B7fPjCUnJ+OLL77AihUrcOrUKTz//PMoKipCUlISAH0FUeMk0HfffRczZ87E0qVLERcXh8zMTGRmZqKwsNBdL4GIfEy+0U6q1ob/gxR+4hLSm0VlDr22uHqlvNaGYcVGfomm0sc4U6laB0MJDsNeJEBFgOGM/VjIO7g9B2PEiBG4ceMGZs2ahczMTHTq1AkbN24UEz/T09MhlVbEQYsWLUJZWRkef/xxk+eZPXs23njjDVc2nYh8VG6xPmgIUvjBz0qpcIlEgrq1/ZGRV4rzNwrRIDTQYdcuMytRHhyofxvPL3XPCIbxCEWgUVXTQH99+/LdNLJC7uf2AAMAJk2ahEmTJlm9b9u2bSa3L1686PwGERFVIbf8QzNEWfl8dNv6IcjIK8WJa/no2byew66tMitR7u4pEsMIhVwmgUxasRy1bi0FLueU4NDlXCSwsqdPcvsUCRGRt8kr1n+Yh1YRYNQL0q8ZdfQ+IYYRAzEHQ5wice8IRoDZnixd48IAAJduFrm8TeQZGGAQEdkpt0Q/RRIaWHnhCcMUhqMrbBp2Lq1Vnu8QXJ5QWlDqnhyMkkoCjOaRQQCAq7mlLm8TeQYGGEREdsotvv0UibN2Oi0sX72iVMjK/68PMIrK3JfkCZjmXwAVya8FbsoNIfdjgEFEZKcPNp0GUPWeG/LyEQyVAwMMQRBQVD6CUbs8sKhVvjS0WOWe1RoqcQTD9OMkyM0jK+R+DDCIiOxg/CFvGE2wxjCC4cgpEpVGB215oS3DTqW13DyCIdbAMBvBMARfhQwwfBYDDCIiOxiCCwD4933NKj3PGVMk6Tn6fSAC5TIxB8NQe6KoimDHmQxTJAqzAMMwwsIpEt/FAIOIyA7nb+iL+gXKZWIiozWGJM8yB45gnL+hX5HRKjoI0vIloYYP8uIy90yRVJbkaZgiKSrTiqMu5FsYYBAR2eFQei4AIC68VpXnGZaROrJUtmE0wLh6qCHZ031JnoYpEvMcjIo2cprENzHAICKyg2EFSaeYkCrPiw7RV++8dNP27a1vx1Ci3Di5tJY4ReKeEYzK6mD4+0nFIMtdVUbJvRhgEBHZwVAxM/g2W5C3jNJPn5y7UeiwRE9DMS3D9AMA1DKMYLgpB8NQl8M8yRMAwmvrd7K+XqByaZvIMzDAICKyQ3ah/sMyTFl5kS0AaBgWiNoKP6i1gjitUlOGJZ/GwY0hB0Ol0Tm85oYtTlzLBwCEWumP2DpKAEB6Dqt5+iIGGEREdjiVof9AbVlFgieg3/AsKiQAAPDNnksOubZhqsF4iiQ4QA65TJ/waQh+XOnM9QIAwD3NLPcbMZRSZw6Gb2KAQURkoyKVBv9c168iadsg+Lbnd2mk34/DURuRWZsikUoliAjSBzKZ+a4vy30ttwRAxWiFMW7Z7tsYYBAR2ajzWykAgDq1/MUP9aoM6VgfAHD5lmMSPa1NkQDGZbldO1Kg1QliHQzDVI0xQ3XP/6xPEwMR8h0MMIiIbKDVCWKOgyGx8nZiwvTf6q/cKoHOAbUgDFMkxiMYQEVVz2IXJ3oeu5pn1AbLAONidkVg9cWO8y5pE3kOBhhERDYoNqoz0SS8tk2PiQzRr6Io0+gcMrpgWCJrvgdKxYZnrp2KeOmHw+LP5nuRAMDu8zfFnx29qyx5PgYYREQ2OHw5V/zZ1hEMhZ9MLBleoKpZHkahSoOr5dMMwWYjGIYNzzYez6zRNex1s6hM/FkikVjcH2q026xh8zfyHfwXJyK6jUs3izD6q33i7e5Nw21+bFD56EJVG6PZ4kxWgfizYXWKwelM/X1/nMqq0TXsdbugYVKfir1alu286OTWkKdhgEFEVAW1Vode728zOfZEt1ibH2/Il7ieX7MlpKXl0x/+flKTMtwAkFNcZu0hTndfy4gq73/qnsa4KzZUvJ2Rx0RPX8IAg4ioCtY2EZNJLacDKhNTvnyzpsW2SjX6drSKsqy/MW1gK/HntMz8Gl3HHmqdPq9i+gOtrN4vlUowf3gn8fZDn+50RbPIQzDAICKqwuYTpnkN7zzSzq7Hd4urAwC4UsOlqiVl+g9z8z0/AOCRzg3Enwd//FeNrmOPq7f0IxKRwYpKz2lstCncDZYM9ykMMIiIqvDKT0dNbhuWhNoqOlS/6dnqQ1dr1I6bRfoPZ8MGYsaMj7lya/Rz5dvH325VTbMI21bd0J2FAQYRkR1aRt6+gqex6PKETK1OwNnrBbc5u3Kz1p4AYH0UwNoKDmc7nVkgliZvUq/qretfG9QaANDOhuqndOdggEFEZKPBHaLRpr59H5L1y0cwAGCq2WiIrTYZTdPUqVX1Jmuu8t1e/f4qdzepY5F0aq6Wwr1bypN7MMAgIrLiVEY+hi/ZbXLs4391tvt5jHMQDlYz0fPZrw+IPxvKj5szTrR0xaZnZ7L0e7IMi4+57bmGUZwL2UUY/dVefMmqnj6BAQYRkRUPfLQD+y7kmByzZ/WIs3RoGGL1+LP3NhF/PpNZ/akYW90qXxobUUWCp0FMHSU6xoQCAHb8k423151iZU8fwACDiMiMtQ+/ndPvq/bz+RslYa49fBW3iqpft6JtfesBhkQiQdc4/e6tZ28UVvv5bVVUXjq9lpVNzqzpXB5gGKSczEKv97di7eGaJb+S52KAQURkpKBUjSGfWC71bGCUS2GvWQ+2EX+e/P1hPPnV3mo/V1UMK0hmrT0BQXDuahJDPkUtK5ucWTPpvmYmt1/49iAu3SzG5O8PO7pp5CEYYBCRz8vMK8Xc9adwOacYHeZsRprZFINxIavqGJUQi+ZGSzVPXHNOMazswjKrPztDkcowgmHbst3w2opK80fozsQAg4h82slr+bh7biqWbD+PCf/bD/Mv/hfnDcbzvZvW6BoSiQT/sqO8uLH9FyvyQN5/vMNtrlPx8+I/z1XrercjCAJGfrEHqvKt62+3gsTYmw+1tXr8rd9PYtSXe6BhXsYdhQEGEfm0l388Iv5sPnLhSE/ebRpgZOWX2vS4xxdXrGTpWl4VtDLGS1i/+uuCHa2z3amMAuw6V7ENe0ig7QFGWCVLbL/66wJ2nr1p8rzk/RhgEJHPOXolFxO/PYjjV/NwMsM1e3co/GR41Kik92u/HMcpO68tt1LF09hHI0yX0f5y6Aoy82wLZGz1yZZ/xJ+t7YtyO90aVx4kaXQcwbiTMMAgojtWZYmOI7/Yi3XHMvCglWROgwC5FDum9nFoe957vANql6+6+ONUFh74aAeOXsmt9HyVxrQwlVxW9TLZ2LpKvDKgpXj7xVVH8J/1p6rfYDN5JWpsOF5R9GvjlHvtfo7/PdWt0vvWHLpWrXaRZ2KAQUR3pGk/HcU987Ygr0Rtcnxr2nUUlicoVmXby33EnVAdxU8mRY9m4SbHZq45Xuk25ltOXTe5HWxDvkP7BqbLWH89cg1nrztm2WpBaUVfBlrZdM0WAXIZtr3c2+p9vx65hqavrsf/dl+s1nOTZ2GAQUR3pFX7L+NaXinWHc0Qj609fBVJy/+26fHBgbYtv7RXi0jTjb+OXMlD4twtiJu+DjPXHMeGYxkYsWQ3Pkn9B89/e9DkXGs7qZpLbFrX4ljfBX+iVF3zMt1b0yoCnjGJjar9PHHhtbAsqSuWJ3W1uE+rEzBr7Qm88O0B3Coqw4lreQCAs9cLsPbwVWxJyxJXsJBnc85fEBGRA+SXquEnlUBpVmtBEAQk/3AEUokEHwzrAIlEgpIyLUrVWtQO8MOstcfFc+dvPo2TGXlQ+vvhv9tvX6L62XubYGinBhbXdJSx3ePw8ZazVu/7es8lfL1Hv8fHXrMqorZO18hlUjzbqwmW/Gn6WredvoH+bSIhrWY10iKVBjPLN1wDIFbmrK4+LSMAACue6obkVYdx06z42PpjmVh/TD8d8+qgVvjP+jTxvv5tIvHfMV1qdH1yPo5gEJFLpd8shs6GLcVL1Vp0eGMz4t/6wyKX4laxGr8cuoqfD17BjQIVcovL0HrWRnR+KwXNX9uAlfsui+feLCrDN3vSbQ4upg5sZfeGZvaoW1uBr8dXnodgzbKkrnZN10wd0Mpidcdz3xzAd/vS7bqusdd+OWZy+4F2UdV+LmO9WtTDc72qXgZsHFwAwOaTWZj47UExGDO34VgGRn+11+rOs+Q6DDCIyGHWHc1AysmsSu//Yf9l3Pv+VsxYfazScwwu3SwGAJSotSgzqo+wNe06Hvl8p3h7yqrD6PRmSg1arbc8qStmDGrtkv1GejavJ25hbotm9Wrf/iQjMqkEh2f1szj+7oY0PPL5Tkz89iDyS9VWHmndnvM3seZwRQLmX9P6OHSLeI0NAae5dccyMHPNcew6m22RY/L8twex459svL8prZJHkytwioToDrD19HX8k1WACT2bOOSNX63VYeaa40hsWhdDOzW4/QMA5BSVYeJ3+pyBf955AHKZ5feX+ZtPA9DnR7xbXjSqoFSN2go/HLmSh2NXchEV7A+VFvjzn2zxcSknsxDgJ8PMtceRYbbssia1E1pFBaF/2ygkdY+rtEaDs1jLlahMUID9b9XWfg8KVBocSs/FIeRCIgE+HXlXlc9RpNJg4ncHse30DZPjYUrH9tWIrjF4d2P1goGRX+rLrs95qC0kEuAho2qh2YVlKChVQ6MVEFbLH6VqLRR+UpO+EQQB8zakoXF4LYzoGoMP//gHi7edg04Q8MXYLuJUjlqrgwT6RF2yDQOMGsrMK4Vaq7vt8GVOURnWHb2Ghzo1sKswDempNFrIJJI7/o9bEAQIAqqcJ1drdZBJJCbnJC3TJy62iQ5Bj+bhlT3UZqsPXsH3f1/G939ftinAuFmoMlmZUarW4uiVPAQF+OF0ZgE2ncjE64PbICu/Ysj6272X8Nov+lyJqOAAZJoUnvIDUFFvYdJ3h2r8msx9+3QC7mlW876qLnveB2xZPWKv349m4NORpsdW7b+Ck5mFeHtoO0ilErSdvcnqY6u7gqQydWr548LcQQCA6wUqTP/5KLaaBTW3M/tXfX7ILKM8EQmATm+mQKsTkNyvBRaknEH3pnXxbK+maBkZhKiQABy4dAtLyqfPisq0+Di14vcuadnfuDhvMDRaHQYs3A65VIqNU3pWGsRbC2DspdJocTmnBM0iakMQBKg0OpPk3ltFZfj96DUkNq0LP6kUceG1rD6PVifg5R+PoF6QAq9aGS3LzCvF+mMZGNal4W2rsWq0umq99/p8gJGZV4rsQhXaNbDcoXDXuWws/vM83h7aDjF1AqETTLdr1ukE3D03FQBwfM4AcX27Nc/8bz/2X7qFv85mY8loz05O2nv+JppF1Ebd2rffhrm69l/Mwcp9l/HqoFa3vU6pWose725BRFAA1k/uWeW5t4rKEKqUV/kHrtHqsObwNSQ0rlOtZYiCIFT6/F/vuYSQQDnOXS+En1SCOrX90a5+iNWEuC+2n8eynRew6tlEsR0tZ25EmUaHfm0icSg9F9mFKvRuWQ8fDu+E5bsuIr5RGF795RgahgXi+2cSLZ7zws0iSKX6KpH92kShlr8MEokEJ67loW4tBaJCAgAANwpUePP3k+jSKAx7zt/E2O5xuLtJxTfqK7cqlk2euJaHerUV+P7vyxh3TxyCA+QmgdDB9Ft49PNd4k6eADB/8xks33XRpG2/G63mACAGFwDMggvnWv1Cd9SrrXD4ElR7hShtCxpOvTmw2omZH/2rU5Wbif125BqaRdRGblEprpcA76w9CQCIraOsMseiuu2piuFvKjI4AMuSuuF6fim6/Se1Rs+ZarTqZUHKGQD6ES/DqNe9LeqZLGN+6/eTFs/x0R//4LH4Bjh/owgA0HjGekgkwMv9W2Jop/poGKaEIAj49cg1TP7+MPq1icTj8Q2R0LgOggLkeGfdKUSHBGBo5/oIDfTHt3svoW/rSBxOz8GpWxIMgn5qceJ3BzGgbSQKVRrsPHsTX43tgu1nbmDlvst4ZUBLDO8SgxClHC/9eARbjF7Xgdf7iu+hG49nolFdJYpUGhy4dAu/HNLvVGseYGxNuy6upjpxLR/zh3estA+/25uON38/gWXjutk16gYAEsHZW+55mPz8fISEhOB/205idK/WiJu+DgCw9eXeaGwWCRru69IoDJHBAVh3LAMtI4Mw77H26BwbhpIyLVrP2iie/9hdDcV/qNziMsikEjEyNDwXALzzSDuMSrC+xGvn2WxsP3MDLw9oCT+pBCqNDqVqLfacv4l7moRhS8omDBo0CHJ5zb7RXMguwo0CFbLySxESKMe9LeqhSKXBhuOZePnHI+gYE4pnejZBr5b1qgycjL31+0lsOpGJNRPvQXj5L7xaq8OP+6/gnmZ1ERQgR2igHBKJ/o8U0CeKLXoyXnyOvGI1zmUXIq9EjRNX8/Qfat3j8PY6fbGgs+88UGkkvXznBbzxm/4N4rleTRFe2x8PdqgPrSCY7IRpOM/fT4rJ9zdH6qksvP1we/x04AqeubcJokICsOtsNrIKSvFgu0j8+vt6nPZvhn5toxGmlKPvgu0AgNlD2uByTglOZuRhz/kcvPdYB0z9+ajVtn05pgt6NA9HgFyGjLwSjP5qnzhv/FDH+hiT2AjrjmVg2c6LNvU1AFyYOwgSiQSXc4rR872tlZ738/Pd8diiXQCAT0d2xuD20Xhq+d8W3xA7xYRCqxMQUydQzN439+TdsRjZrREGfbzD5na6UvsGITh2NU+83TEmFEcu52JYfEMUqjTo3rQuRifGua+BRgRBEP8OKrPu3z0q3Z7dVuuPZeAFs+Wu1oTIBeSpbQscLs4bXKM22UqrE1Cq1qJErcV7G9Pww/4rLrmuo9wuwAOAfq0jkGJW7wQAujetazH9d/adB9DstQ0mx354NhHdGtfBrnPZGPmF9V16v5uQgK5xdSCXSXH8ap5JgbngAD+81L8lTmcV4Nl7myC2jtLkC5ThsysyWIF5j3WAv7YUPdo2Ql5eHoKDq06G9tkAI2bKD3j9kbvE7ORh8Q3ROTYM3RqHYf/FW5h+myS0s+88gPxSDe56yzS5rGfzcAzt1ADzNqQhv0SNfm0j0aFBCOZuMJ1f3Pfa/cgpKsO//rsHhaUaNIuojeVJ3cQRkf+7rxmW/nUBRWUVa9ef6NoQyvxLQHgTPN4lFnKZBHklavhJpSbfkAtVGjz79X7su5CD9g1CcOVWCZ7oFouRCbEIVcohCECrmRtN2nNkVn90n5dqcj2DJaPjsfd8Dpbu1O9t8N2EBHSOCYNOECCRAEp/P+QVq9Hxzc0AgM9H3YVB7aORV6xGvw//xHWjTO4m9WqJ3wQMXhvUGnKZBF3i6lRZWRHQZ/nXC1KgT6sINAgNxMmMfHRqGAqpVGISxJkzjDCVqrUWr91Yy8gg3N86Ap9v028UtWBYe2zZexi/pztmSFguk0CttfyTU/hJxc2jbNUkvBbOZxfd/kQf8dukHtAKAh7+TJ8A+t2EBHRv6r4pEFtk5Zdiw7EM/HzwKs5eL0SjukpMvr853l53Cu893sEhUzh7zt/Ev/67xwGt1Xv74XZ48u7q18CoCa1OQNNXqw7K7mQhgXKLwnGD2kchOECO7/++XMmjKoQp5bhVXHVy7ysDWiKhcR28ve4UTmXkW7wv6VTFuLxwOAMMa4wDDKmi+kOkPZuHIyo4AD8eqF5EHRGkMPngralDM/uJSWoL/ziDhX/8c5tHOM6hmf1w9kYhhpVvyvT2w+0wKiEWk1YeMily5E6BchmS+7XAku3nkV3IpWt3mgC5FGlvPQAAKC7TOK2GhTNVNfVWE0ev5OKhTytW3Tx2V0P8fLB671sn3xzg9r5949cTWL7rIkIC5fj9/3ogu1CFRz7f5dY2+RIGGFVwVIDhiV4Z0BLf7LlkkWVP5I0Gt4+CToC498XPz3fHE//dY7Jk1ZAc+myvJpjxgO3LPn2JIAiY/vMxRIYEYETXGEQHB6BJNUYBWkcHY8NtcqBcQasT8M/1ArSMDBIDMsPo5b+6xuCpHo3R/8PtTrt+LX+Z1ZFeX2FPgOERKfmfffYZ4uLiEBAQgISEBOzbt6/K83/88Ue0atUKAQEBaN++Pdav990hM2PvbzrN4IJcRiaV4NleTWr0HHc3qSPm7HwwrCOS+7XAjIEt8GwrLT4c1h6LnozHJ090xpqJ9yC+URhOvz0Qv7zQHYFyGV4f3Bo/PpeIN4e2xYt9WzjoVd15JBIJ3n28A5L7tUCD0EBIpRIM7VT/9g8sl9C4DpT+Mrz7WHsnttJ2MqkEraKCrY72tIwKQovIIByZ3R8/PpeITjGh6BQTijeGtLE4d2KfpnZvZte7ZT0ce2MA5g+rSIq8r1WE/S/CR7h9BGPVqlUYM2YMFi9ejISEBCxcuBA//vgjTp8+jYgIy3+4Xbt24d5778XcuXPx4IMP4rvvvsO7776LgwcPol27dre93p08gkHu0aiuEq8PboMJ/9vvsmt2ignF4cu5AIAODUNw9Io+sXH+sI546ccjNXruzrGhOJSea3H8X11jsCXtuji1Z5zoZ5z/YlgOaHBh7iDkFJXh1yPX8J/1p8QcFOPHG08PqNVqrF+/vspk5uoumyM9lUaLK7dK8PXuS9h7IQf9WtfDx1vOifc3i6gtJiH/kdwLcXWVHt3fm09kYuvpG3jjoTZQ+FnPl1p98Aq+3nMJUwe0gkQCcdWU4XfPOKm/e9O6+O1oBqJDAuAnk2L7GX1CtHGJ8tFf7cXFm0X49Im7MLQ872d4l4bYknYd2YVlVlqg9+GIjkg5mWWRSP3e4x3wxfbz+KeaG9ON6x5nsXLLGbxqiiQhIQFdu3bFp59+CgDQ6XSIiYnB//3f/2H69OkW548YMQJFRUX4/fffxWN33303OnXqhMWLF9/2etYCjH2v3m91OZTx2vw6tfyRU1T5L01lHo9viG2nb1Q67x8ZrMCXY7riX//d7fBht5kPtkFwgB9e+cl0ZcMT3WKh0mix+uBV8Vjb+sE4cS3f6vP4SSXQ6AQ80S3GpATzo50b4Ncj16pVhc8e+167H78dybC6hCxI4YeC8voLYxMb4eUBLXEoPRdnsgrElSfOdO4/g8Sly8Yfsl+M6YIT1/Kw70KORSb4KwNaIqeoDF/9dcHu6733eAe0qx+CNvWDsSDlDIIUfni6Z2Ms23kRkcEBGNwhGsMW78LfF29h5oNtcHeTOnh342nEx4YhqUccOryxGT2ahWPCvU3wzP/2W00sNXzwv7cxDSv3peObpxPQPCII/n5SnL1egOFL9mBsYhwm920uPsbw2u9tUQ/LxnUVE/HmD+uIx+Ibmjz/n2duILaO0mLVloEtAQY5llqtRouZmyBAgibhtbDl5d7YdyEHNwpUGNwh2t3NcwnD77C16bZBH+3AyYx8LBkdjwFt9ct3DR+dGp2A5uUrO9LeGgiFnxQZeaW4UaDCumMZSGxaFykns/Dd3nT0bR2JL8d2gU4n4NClm3hsScWqj4vzBqOgVI0NxzKxdOcF1AtSIK9ELX55uJ2L8wZjzm8nxJVo97eKMFmma4t9r92PHu9uRZnZ+8KypK5irZ0WdWRImfaA5wcYZWVlUCqV+Omnn/Dwww+Lx8eOHYvc3FysXbvW4jGxsbFITk7GlClTxGOzZ8/GmjVrcOSI5Tc3lUoFlariwz0/Px8xMTFImL0WOrkSmyffg1oKP+h0As7dKEJsXSXeWncK4bUVmHJ/M6g0OpRpdKjlr4+KbxaVQaMTMPTz3bhVrEaXRqEYHt8QDcMCMeOXE7iUoy9v/HK/5hjepQHClP4QBAGLt1/Akh0XECiXYdHITrhyqwR3N6ljspyzzRt/AABaRdbGN+O7orbCD/HvbIFcJkVuiWXm77/7NMX/3dcUAz76C+ezi8Xj4+9phJuFZXjzoTYI9JdBpxNwo1CFZbsuITI4AKMTYuAnkyKvRA2NTkDd8uTQrv/ZanGdvq3q4fORncRvl81n6leKfDG6M3q3qIf8EjWKyrTYee4mfj54FX1a1sNHW86Jv6D/6toQz/SMw5hlB3Bv87qY1LspSjVa3LfAdLXI2MRYDG4fhTClHA9/vkcMtqYPbIHx98Tpf180OrSd84fJ43ZO7QVBEPDjgasYm9hIrHgoCAIWpp7Dlzsv4oPH2qFlZBC+3puOTSeyMLF3E/yrawxuFpVBqxOw70IOWkYF4ZdD13C9QIV+rSNwKacYz93bGPsv3MQn6/Zj3qgeiA6rhYy8Uvx+LBPvb/4HEglw5s3+Ylue+HIf9l/KRZdGoVj5dMVeE4Y+A4AfnumGzuUrfgzfnMYs24/d5003ttr2Uk/M/u0UpBLglX4t8N7mM3ixbzO0ib79Hhk3i8pwKD0X97eqZzGMrNHqIJNKIJFIoNMJ+O1YJnaezcaxq/k4e6MId8WGYtWEirbrdIJFzQNryYi7z9/E8l3pmP1gK9QPDcSNAhV0goDI4IDbttecWq1GSkoK+vXrxwDDRdRqNb5YnYL9pRF49YFWaBZhX2nyO8H6Y5lYdzwT7z7azmJpfqFKg/M3itC+gfWpmevlv+9Rlfy+C4KAo1fz0Tyilpgkq1arMevrP/DTBRme79UYyUYBuzHD+4f5CrS/XrkXf529ieIyLVpE1kZC4zoAgNFL/8aeC7fwx4s9kHrqOuZuPGPyfMdm3Q9/mRS/Hs3AKz9X1KJ586HWeKJrjMlrvnSzGG2igwAA0385AUEQ8FrfWNSrV8/zA4xr166hQYMG2LVrFxITK4oGTZ06FX/++Sf27rVc0+vv748VK1bgiSeeEI99/vnnmDNnDrKyLPdAeOONNzBnzhyL49999x2UyupPkWQWAzsypejXQIdQB9Wj0ugAtQ4w3iVaqwM0AqATgEM3JQiUAflqILtUgkfjdJBIgFwVUKAG6gWU/z+w8mtUJbsUOJUrQXy4gCM3JWhXR0CQ2ft7VgmQWSxBx7qV/9podECpFjhxS4K7wgXIpYAgAMZ/l2m5EhzJkSChng51FECwUeVhrQ64VQb8kydBt3oCjEdmD9+UIC1Xgscb6+Bnw4itVgc4Y2T3UgEQqgBCjNqdVwbsypKge6RgcvxsHnC1WIJ7owRYWySg1gHHb0nQMkTAX5kSNKgFtA1z7Z9lrgrYfV2K7pE6k7YTkfMIApCjAuooYPW9AQBulgI3VRI0DxagFYDrJUC0svLztTqgWAuT9+6rRfrPq4ENTT+vDmRLcCxHgt7ROsQF2dbm4uJijBw50qYAw/vWctlpxowZSE5OFm8bRjD69+9/2865nadq2jg7PeTCb3aPO/XZgUEuflx12ftt+onbnmHd0PL/O7vfqzLy9qe4BEcwXI997nqGPv/XENf0+QQrx6rzfpqfb30q3Rq3Bhjh4eGQyWQWIw9ZWVmIirJepjYqKsqu8xUKBRQKyyEGuVzutX9I3tx2b8U+dz32ueuxz13P2/rcnra6NS3Y398f8fHxSE2tSLDU6XRITU01mTIxlpiYaHI+AKSkpFR6PhEREbme26dIkpOTMXbsWHTp0gXdunXDwoULUVRUhKSkJADAmDFj0KBBA8ydOxcAMHnyZPTq1Qvz58/H4MGD8f3332P//v3473//686XQUREREbcHmCMGDECN27cwKxZs5CZmYlOnTph48aNiIyMBACkp6dDKq0YaOnevTu+++47vP7663j11VfRvHlzrFmzxqYaGEREROQabg8wAGDSpEmYNGmS1fu2bdtmcWzYsGEYNmyYk1tFRERE1eW5pdmIiIjIazHAICIiIodjgEFEREQOxwCDiIiIHI4BBhERETkcAwwiIiJyOI9YpupKhr3d7Kmn7inUajWKi4uRn5/vVaVlvRn73PXY567HPnc9b+1zw2enLfuk+lyAUVBQAACIiYm5zZlERERkTUFBAUJCQqo8x63btbuDTqfDtWvXEBQUBEll+916KMNOsJcvX67xTrBkG/a567HPXY997nre2ueCIKCgoAD169c3qbJtjc+NYEilUjRs2NDdzaiR4OBgr/qFvBOwz12Pfe567HPX88Y+v93IhQGTPImIiMjhGGAQERGRwzHA8CIKhQKzZ8+GQqFwd1N8Bvvc9djnrsc+dz1f6HOfS/IkIiIi5+MIBhERETkcAwwiIiJyOAYYRERE5HAMMIiIiMjhGGC42cWLFzF+/Hg0btwYgYGBaNq0KWbPno2ysjKT844ePYqePXsiICAAMTExeO+99yye68cff0SrVq0QEBCA9u3bY/369Sb3C4KAWbNmITo6GoGBgejbty/++ecfp74+T/XOO++ge/fuUCqVCA0NtXpOeno6Bg8eDKVSiYiICLzyyivQaDQm52zbtg133XUXFAoFmjVrhuXLl1s8z2effYa4uDgEBAQgISEB+/btc8IrujOwr6pv+/btGDJkCOrXrw+JRII1a9aY3G/L339OTg5GjRqF4OBghIaGYvz48SgsLDQ5x5b3Il8wd+5cdO3aFUFBQYiIiMDDDz+M06dPm5xTWlqKiRMnom7duqhduzYee+wxZGVlmZzjqPcZjySQW23YsEEYN26csGnTJuHcuXPC2rVrhYiICOGll14Sz8nLyxMiIyOFUaNGCcePHxdWrlwpBAYGCkuWLBHP2blzpyCTyYT33ntPOHnypPD6668LcrlcOHbsmHjOvHnzhJCQEGHNmjXCkSNHhIceekho3LixUFJS4tLX7AlmzZolLFiwQEhOThZCQkIs7tdoNEK7du2Evn37CocOHRLWr18vhIeHCzNmzBDPOX/+vKBUKoXk5GTh5MmTwieffCLIZDJh48aN4jnff/+94O/vLyxdulQ4ceKEMGHCBCE0NFTIyspyxcv0Kuyrmlm/fr3w2muvCatXrxYACL/88ovJ/bb8/Q8cOFDo2LGjsGfPHmHHjh1Cs2bNhCeeeEK835b3Il8xYMAAYdmyZcLx48eFw4cPC4MGDRJiY2OFwsJC8ZznnntOiImJEVJTU4X9+/cLd999t9C9e3fxfke9z3gqBhge6L333hMaN24s3v7888+FsLAwQaVSicemTZsmtGzZUrw9fPhwYfDgwSbPk5CQIDz77LOCIAiCTqcToqKihPfff1+8Pzc3V1AoFMLKlSud9VI83rJly6wGGOvXrxekUqmQmZkpHlu0aJEQHBws/jtMnTpVaNu2rcnjRowYIQwYMEC83a1bN2HixIniba1WK9SvX1+YO3eug1+J92NfOY55gGHL3//JkycFAMLff/8tnrNhwwZBIpEIV69eFQTBtvciX3X9+nUBgPDnn38KgqDvX7lcLvz444/iOadOnRIACLt37xYEwXHvM56KUyQeKC8vD3Xq1BFv7969G/feey/8/f3FYwMGDMDp06dx69Yt8Zy+ffuaPM+AAQOwe/duAMCFCxeQmZlpck5ISAgSEhLEc6jC7t270b59e0RGRorHBgwYgPz8fJw4cUI8p6o+Lysrw4EDB0zOkUql6Nu3L/vcDPvKuWz5+9+9ezdCQ0PRpUsX8Zy+fftCKpVi79694jm3ey/yVXl5eQAgvncfOHAAarXapM9btWqF2NhYkz6v6fuMJ2OA4WHOnj2LTz75BM8++6x4LDMz0+QXEIB4OzMzs8pzjO83fpy1c6hCTfo8Pz8fJSUlyM7OhlarZZ/bgH3lXLb8/WdmZiIiIsLkfj8/P9SpU+e2v/PG1/BFOp0OU6ZMwT333IN27doB0PeHv7+/RY6XeZ/X9H3GkzHAcJLp06dDIpFU+V9aWprJY65evYqBAwdi2LBhmDBhgpta7r2q0+dERDU1ceJEHD9+HN9//727m+JRfG67dld56aWXMG7cuCrPadKkifjztWvX0KdPH3Tv3h3//e9/Tc6LioqyyDw23I6KiqryHOP7Dceio6NNzunUqZPtL8yD2dvnVYmKirJYwWBrnwcHByMwMBAymQwymazKfxfSCw8PZ185kS1//1FRUbh+/brJ4zQaDXJycm77O298DV8zadIk/P7779i+fTsaNmwoHo+KikJZWRlyc3NNRjHM35dr+j7jyTiC4ST16tVDq1atqvzPMI959epV9O7dG/Hx8Vi2bBmkUtN/lsTERGzfvh1qtVo8lpKSgpYtWyIsLEw8JzU11eRxKSkpSExMBAA0btwYUVFRJufk5+dj79694jnezp4+v53ExEQcO3bM5A03JSUFwcHBaNOmjXhOVX3u7++P+Ph4k3N0Oh1SU1PvmD53FPaVc9ny95+YmIjc3FwcOHBAPGfLli3Q6XRISEgQz7nde5GvEAQBkyZNwi+//IItW7agcePGJvfHx8dDLpeb9Pnp06eRnp5u0uc1fZ/xaO7OMvV1V65cEZo1aybcf//9wpUrV4SMjAzxP4Pc3FwhMjJSGD16tHD8+HHh+++/F5RKpcUyVT8/P+GDDz4QTp06JcyePdvqMtXQ0FBh7dq1wtGjR4WhQ4f67DLVS5cuCYcOHRLmzJkj1K5dWzh06JBw6NAhoaCgQBCEiuVj/fv3Fw4fPixs3LhRqFevntXlY6+88opw6tQp4bPPPrO6TFWhUAjLly8XTp48KTzzzDNCaGioSdY46bGvaqagoED8PQYgLFiwQDh06JBw6dIlQRBs+/sfOHCg0LlzZ2Hv3r3CX3/9JTRv3txkmaot70W+4vnnnxdCQkKEbdu2mbxvFxcXi+c899xzQmxsrLBlyxZh//79QmJiopCYmCje76j3GU/FAMPNli1bJgCw+p+xI0eOCD169BAUCoXQoEEDYd68eRbP9cMPPwgtWrQQ/P39hbZt2wrr1q0zuV+n0wkzZ84UIiMjBYVCIdx///3C6dOnnfr6PNXYsWOt9vnWrVvFcy5evCg88MADQmBgoBAeHi689NJLglqtNnmerVu3Cp06dRL8/f2FJk2aCMuWLbO41ieffCLExsYK/v7+Qrdu3YQ9e/Y4+dV5L/ZV9W3dutXq7/TYsWMFQbDt7//mzZvCE088IdSuXVsIDg4WkpKSxKDbwJb3Il9Q2fu28XtASUmJ8MILLwhhYWGCUqkUHnnkEZMvj4LguPcZT8Tt2omIiMjhmINBREREDscAg4iIiByOAQYRERE5HAMMIiIicjgGGERERORwDDCIiIjI4RhgEBERkcMxwCAin1RWVoZmzZph165dDn3ejRs3olOnTtDpdA59XiJvwwCD6A4wbtw4q7vHnj171t1N81iLFy9G48aN0b17d/GYRCLBmjVrLM4dN24cHn74YZued+DAgZDL5fj2228d1FIi78QAg+gOMXDgQGRkZJj8Z74BE6D/5u7rBEHAp59+ivHjxzvl+ceNG4ePP/7YKc9N5C0YYBDdIRQKBaKiokz+k8lk6N27NyZNmoQpU6YgPDwcAwYMAAAcP34cDzzwAGrXro3IyEiMHj0a2dnZ4vMVFRVhzJgxqF27NqKjozF//nz07t0bU6ZMEc+x9o0/NDQUy5cvF29fvnwZw4cPR2hoKOrUqYOhQ4fi4sWL4v2G0YEPPvgA0dHRqFu3LiZOnGiyY6dKpcK0adMQExMDhUKBZs2a4auvvoIgCGjWrBk++OADkzYcPny4yhGcAwcO4Ny5cxg8eLCdvQxcvHjR6mhR7969xXOGDBmC/fv349y5c3Y/P9GdggEGkQ9YsWIF/P39sXPnTixevBi5ubm477770LlzZ+zfvx8bN25EVlYWhg8fLj7mlVdewZ9//om1a9di8+bN2LZtGw4ePGjXddVqNQYMGICgoCDs2LEDO3fuRO3atTFw4ECTkZStW7fi3Llz2Lp1K1asWIHly5ebBCljxozBypUr8fHHH+PUqVNYsmQJateuDYlEgqeeegrLli0zue6yZctw7733olmzZlbbtWPHDrRo0QJBQUF2vR4AiImJMRklOnToEOrWrYt7771XPCc2NhaRkZHYsWOH3c9PdMdw715rROQIY8eOFWQymVCrVi3xv8cff1wQBEHo1auX0LlzZ5Pz33rrLaF///4mxy5fviwAEE6fPi0UFBQI/v7+wg8//CDef/PmTSEwMFCYPHmyeAyA8Msvv5g8T0hIiLjb49dffy20bNlS0Ol04v0qlUoIDAwUNm3aJLa9UaNGgkajEc8ZNmyYMGLECEEQBOH06dMCACElJcXqa7969aogk8mEvXv3CoIgCGVlZUJ4eLiwfPnySvtr8uTJwn333WdxHIAQEBBg0o+1atUS/Pz8hKFDh1qcX1JSIiQkJAgPPvigoNVqTe7r3Lmz8MYbb1TaBqI7nZ97wxsicpQ+ffpg0aJF4u1atWqJP8fHx5uce+TIEWzduhW1a9e2eJ5z586hpKQEZWVlSEhIEI/XqVMHLVu2tKtNR44cwdmzZy1GCkpLS02mD9q2bQuZTCbejo6OxrFjxwDopztkMhl69epl9Rr169fH4MGDsXTpUnTr1g2//fYbVCoVhg0bVmm7SkpKEBAQYPW+Dz/8EH379jU5Nm3aNGi1Wotzn3rqKRQUFCAlJQVSqemAcGBgIIqLiyttA9GdjgEG0R2iVq1alU4JGAcbAFBYWIghQ4bg3XfftTg3Ojra5tUnEokEgiCYHDPOnSgsLER8fLzVFRX16tUTf5bL5RbPa1jmGRgYeNt2PP300xg9ejQ+/PBDLFu2DCNGjIBSqaz0/PDwcDGAMRcVFWXRj0FBQcjNzTU59vbbb2PTpk3Yt2+f1amWnJwck9dI5GsYYBD5oLvuugs///wz4uLi4Odn+TbQtGlTyOVy7N27F7GxsQCAW7du4cyZMyYjCfXq1UNGRoZ4+59//jH51n7XXXdh1apViIiIQHBwcLXa2r59e+h0Ovz5558WIwsGgwYNQq1atbBo0SJs3LgR27dvr/I5O3fujEWLFkEQBEgkErvb9PPPP+PNN9/Ehg0b0LRpU4v7DSM0nTt3tvu5ie4UTPIk8kETJ05ETk4OnnjiCfz99984d+4cNm3ahKSkJGi1WtSuXRvjx4/HK6+8gi1btuD48eMYN26cxTTAfffdh08//RSHDh3C/v378dxzz5mMRowaNQrh4eEYOnQoduzYgQsXLmDbtm3497//jStXrtjU1ri4OIwdOxZPPfUU1qxZIz7HDz/8IJ4jk8kwbtw4zJgxA82bN0diYmKVz9mnTx8UFhbixIkTdvSa3vHjxzFmzBhMmzYNbdu2RWZmJjIzM5GTkyOes2fPHigUitu2g+hOxgCDyAfVr18fO3fuhFarRf/+/dG+fXtMmTIFoaGhYhDx/vvvo2fPnhgyZAj69u2LHj16WORyzJ8/HzExMejZsydGjhyJl19+2WRqQqlUYvv27YiNjcWjjz6K1q1bY/z48SgtLbVrRGPRokV4/PHH8cILL6BVq1aYMGECioqKTM4ZP348ysrKkJSUdNvnq1u3Lh555JFqFcPav38/iouL8fbbbyM6Olr879FHHxXPWblyJUaNGlXlNA3RnU4imE+gEhFVonfv3ujUqRMWLlzo7qZY2LFjB+6//35cvnwZkZGRtz3/6NGj6NevH86dO2c12bW6srOz0bJlS+zfv99qoTMiX8ERDCLyaiqVCleuXMEbb7yBYcOG2RRcAECHDh3w7rvv4sKFCw5tz8WLF/H5558zuCCfxyRPIvJqK1euxPjx49GpUyf873//s+ux48aNc3h7unTpgi5dujj8eYm8DadIiIiIyOE4RUJEREQOxwCDiIiIHI4BBhERETkcAwwiIiJyOAYYRERE5HAMMIiIiMjhGGAQERGRwzHAICIiIodjgEFEREQO9/8oUn/oRCwglgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# FFT -> frequency domain spectrum\n", "spec = np.fft.fft(fid)\n", "freqs = np.fft.fftfreq(N, d=dt)\n", "\n", "# shift zero frequency to center\n", "spec_shift = np.fft.fftshift(spec)\n", "freqs_shift = np.fft.fftshift(freqs)\n", "\n", "# plot results\n", "plt.figure(figsize=(6,4))\n", "plt.plot(freqs_shift, np.abs(spec_shift) / np.max(np.abs(spec_shift)))\n", "plt.xlim(-2500, 2500)\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(\"Normalized magnitude\")\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d677714e-ca3b-424a-bc2c-9cb106a39e70", "metadata": {}, "source": [ "To get a reference to compare the qft results with, as a first step, we perform the fast fourier\n", "transformation on the data and plot the spectrum." ] }, { "cell_type": "code", "execution_count": 4, "id": "f16a55c9-811c-45e0-b758-589df959b4e2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define shape and compression parameter\n", "shape = ts.trainshape(*fid.shape)\n", "\n", "# compress the data\n", "with ts.variational(max_rank=3, cutoff=1e-10, ncores=2, nsweeps=2):\n", " fid_train = ts.tensortrain(shape, fid)\n", " \n", "# plot data\n", "plt.figure(figsize=(6,4))\n", "plt.plot(t * 1e3, np.real(fid), label=\"original\")\n", "plt.plot(t * 1e3, np.real(fid_train.to_tensor()), color=\"black\", linestyle=\"dotted\", label=\"approximated\")\n", "plt.xlabel(\"Time (ms)\")\n", "plt.ylabel(\"Signal (a.u.)\")\n", "plt.xlim(0, 100)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bd9146be-e44a-4214-9c9d-62337a985ad4", "metadata": {}, "source": [ "To apply the qft to the data we first convert the data to a tensor train.\n", "We do this by creating a variational conext manager which leads to a maximum\n", "rank of 3. As we can see we only need a very small rank for a good representation\n", "of the data." ] }, { "cell_type": "code", "execution_count": 5, "id": "bcf98eca-d0c0-43a9-a296-67ecbe30beed", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create the compressed dft matrix as tensor network with rank 16\n", "qft = ts.qft(shape.dims[0])\n", "\n", "# apply the qft to the compressed data\n", "with ts.variational(max_rank=5, cutoff=1e-10, ncores=2, nsweeps=2):\n", " spec_train = qft @ fid_train\n", "spec_shift_train = ts.qftshift(spec_train)\n", "\n", "# plot data\n", "plt.figure(figsize=(6,4))\n", "spec_shift_approx = spec_shift_train.to_tensor()\n", "plt.plot(freqs_shift, np.abs(spec_shift) / np.max(np.abs(spec_shift)), label=\"shift\")\n", "plt.plot(freqs_shift, np.abs(spec_shift_approx) / np.max(np.abs(spec_shift_approx)), color=\"black\", label=\"approximated\")\n", "plt.xlim(-2500, 2500)\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(\"Normalized magnitude\")\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e7fc29ad-8e25-49b6-b48b-d7b414728b88", "metadata": {}, "source": [ "After creating the tensorized qft matrix we can variationally apply it to the\n", "compressed data, also resulting in a low rank approximation." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.14.3" } }, "nbformat": 4, "nbformat_minor": 5 }