docs/tutorials/09_ryberg_dynamics.ipynb

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    "# Rydberg circuits\n",
    "\n",
    "In addition to the fermionic setting introduced in [the first tutorial](./01_introduction_and_fermionic_circuits.ipynb), the Qiskit cold atom module naturally supports Rydberg hardware, which is the neutral atom implementation of qubits. They are described through the Hamiltonian:\n",
    "\n",
    "$$\n",
    "\\hat{H}_{ryd} = \\Omega \\sum_i \\sigma_{x,i} + \\Delta \\sum_i \\sigma_{z,i} + \\phi \\sum_{i\\neq j} \\frac{\\hat{n}_i \\hat{n}_j}{|i-j|^6}\n",
    "$$\n",
    "\n",
    "The occupation number is defined as $\\hat{n}_i = Z_i + \\frac{1}{2}$ and the spin operators are $\\sigma_{x,i} = \\frac{1}{2}X_i$ as well as $\\sigma_{z,i} = \\frac{1}{2}Z_i$. Here, the unit of information, i.e. the individual wires in the quantum circuit, are given as quantum angular momenta or spins of length $S = 1/2$. Let us summarize the properties of the Hamiltonian:\n",
    "\n",
    "- The first term is a global rotation of all spins around the $x$-axis with a frequency $\\Omega$. It is generating $\\hat{U}_{x}$ gates for the qubits known from other qubit systems. Physically, this term is controlled by the intensity of a laser fields that couple two states of the atom.\n",
    "- The second term is a global rotation of all spins around the $z$-axis with a frequency $\\Delta$. It is generating $\\hat{U}_{z}$ gates for the qubits known from other qubit systems. Physically, this term is generated by the frequency of a laser fields that couple two states of the atom.\n",
    "- The third term is a long-range interaction between all spins, which leads to the **Rydberg blockade**. The presence of the operators $\\hat n_i\\hat n_j$ energetically penalizes (\"blocks\") situations where both spins are up and is hence useful to generate an entanglement gate for the qubit circuit. Physically, this term is generated by the interaction of the atoms in the Rydberg state. Note, that we are working here with the explicit form $\\propto 1/|i-j|^6$. This implies that the atoms are arranged in a regularly spaced chain. However, more complex geometries can be implemented experimentally by rearrangement of the atoms in one, [two](https://arxiv.org/abs/2012.12268) or even [three dimensions](https://arxiv.org/abs/1908.00853).\n",
    "\n",
    "\n",
    "\n",
    "The following simulation is based on the `SpinSimulator()` backend which was introduced for the case of high-dimensional spins in [tutorial 2](./02_spin_circuits.ipynb).\n",
    "\n",
    "In this tutorial we will focus on reproducing the results of two central experiments of Rydberg atoms, which are well described by the Hamiltonian above:\n",
    "\n",
    "- [Messin et al.](https://www.nature.com/articles/nphys1183), which demonstrate dynamically a Rydberg blockade.\n",
    "- [Bernien et al.](https://arxiv.org/abs/1707.04344) demonstrates larger spin structures, where only every second or third spins can be excited in the chain."
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    "## Rydberg blockade in a two atom system\n",
    "\n",
    "In the first step, we will employ a `qiskit-cold-atoms` to implement the foundational experiments on Rydberg blockade by [Messin et al.](https://www.nature.com/articles/nphys1183). In a first step, we will simulate the simple Rabi oscillation experiments that they used as reference."
   ]
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   "source": [
    "from qiskit import QuantumRegister\n",
    "from qiskit.circuit import QuantumCircuit, Parameter\n",
    "\n",
    "from qiskit_cold_atom.spins.spins_gate_library import RydbergFull\n",
    "from qiskit_cold_atom.spins import SpinSimulator\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
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CoUDr1q2Rm5uL7OxsSCQSLF68WOfoq4a2SHT1jwCAs7Ozzgnp8vLy4OJS+1Ts1DwUFhbi2LFjmDJlitilNJhSqURaWhpkMplenexubm4NChGg6ktgbm4uHj58iPv37ze4dmocJhkkEyZMgFwux88//4z09HQkJSXB0tISQUFBiIqKwvTp0+Ho6Aig6g/7+vXrcHFxwfTp0+Hl5YVFixYhOTkZ1tbWGDRoEGJjYxEaGlrjebKysnDv3j24ublpdYZmZWUhLy8Prq6uWiO8HlVbkAQGBursC0lOTkavXr0a+pYQGcy///3vBl14WFBQgCtXriAwMFDvubOys7NrXFRMTYdJBkm3bt3qfV+QpKQkqNVqTYd3dHQ0oqOj67Wvt7e31h396lr+qNo6wCMjIzFnzhxkZWXB29sbAHD69Glcu3YNS5curVddRE2RUqnEsGHD8Omnn2Lp0qUmPaPDk8Yk+0j0UX0Kql27dnVsaRwTJkyAp6cnoqKiEBcXh127diEmJgZdu3ZFVFSU2OURCaJUKjF16lSGiIl54oPk0QkXmwIHBwccPXoUnp6eGDFiBP7+978jNDQUcXFxHB9vAlq0aIHY2FiepiGTYpKntvTR1FokAODn5/fYq3ebo6Xfvg4vt1b42wvva5bl5mdiwvJ2+Oaf2bC2fDLG/ru5uek1pQpRc/BEf8VVqVS4cOECAGhdFEiGVaZ8iJ8Td6JfyGit5R5OT6GVIhgnn6AJGQsKCnDw4EEUFBSIXQqRwTzRQWJmZobi4mKo1Wo4ODiIXY7Jysy9AnNzS3g4V037su3Ix7hflAsA8PPqiNSb9Z+8sLnLysrCW2+9haysLLFLITKYJzpIyHikZn+dRT12fjty71ddkGcmkYpVEhEZCIOEGp3C3R/KijKkZp9Hbn4mCh/ex7mUw6hUVSLh2lG0UoSIXSIRCfDEd7ZT47O2tMW0Iavw0ddDIZVa4L2Yf2H7kY9x8MxGtPF5Dn066L5fCxE1DwwSMoq+nUahb6dRmsfBrZ4XsRrxyGQyBAYGaiY9JDIFDBIiI/Lz88OePXvELoPIoNhHQkREgjBIiIwoOTkZ7du3b/BNyoiaIgYJkRGp1Woolco6J/Ukak4YJEREJAg720knMwsgfLrYVejHrPnevbZJsrGxQVFRkcGOt3TtDjwoLoGDrQ3enTiixmNDsLGxMchxSD8MEtJJIgGklnVvR6ZLIpHA1tZwk2laWslgqayEpZUMtra2NR5T88UgITIiPz8/7N27t9Y7ZxI1RwwSIiOSyWTw9/cXuwwig2JnO5ERZWdn44MPPkB2drbYpRAZDIOEyIjy8/Oxe/du5Ofni10KkcEwSIiISBAGCRERCcIgISIiQRgkREbk5uaGN954A25ubmKXQmQwDBIiI5JIJLC0tIREIhG7FCKDYZAQGdGdO3ewcuVK3LlzR+xSiAyGQUJERIIwSIiISBAGCRERCcIgITIiR0dHDBw4EI6OjmKXQmQwnLSRyIi8vb2xZMkSscsgMii2SIiMqKysDBkZGSgrKxO7FCKDYZAQGVFqair69++P1NRUsUshMhie2iKd1GpApRS7Cv2YWVTd2ZHIENRqNUpKSsQuQy82NjaiXOzKICGdVErg2OdiV6Gf8Om8PTAZTklJCezs7MQuQy9FRUWi3LaYp7aIiEgQBgkREQnCU1tERhQUFIRLly6JXQaRQbFFQkREgjBIiIwoLS0NI0aMQFpamtilEBkMg4TIiEpKSpCYmNjshpUSPQ6DhIiIBGGQkNHNWt0Hoxb6il0GERkIR22RYInXjuOdNeFay2SWtvB2D0DfkNEY3GMapFL+qhGZKv51k8GEd4xB1zYRUEON+4U5OPzHVqzZ9zZu5F7CW9HrxC6vSVAoFFi8eDEUCoXYpRAZDE9tGYharYajoyMkEskTez9uf0UI+nYahX6dRmNYn3fx+bTf4e7ojQNnNiC/6Ml8T/6Xk5MTBg0aBCcnJ7FLoWbIx8dH7BJ0YpAYSEZGBh48eAC5XA53d3exy2kSrC1t0aZlN6jVaty8d63W7VKzzyPiHzLErusHtVqtWV6pqsTbq3ohco4N0nIuGKPkRpeXl4dt27YhLy9P7FLISHx8fDB06FAsWrQIcXFxOH78OE6cOIEff/wRS5cuxfDhw/H000/XeZzu3bvjwoUL+Oijj4xQtX54astAbty4gdatW6Nbt25il9Kk3PpvgDjYuNS6TStFMN54eQlW/TADO44tQszz/wAAfH14Pv5M+wUzXlmDp+VtjVJvY7t16xYWLFiAjh07wsWl9veEmjcLCwsMGTIEkydPRp8+fWrdLiIiQvPzqVOnsHr1auzatavG/Wq6d++On376Cfb29vjggw+QmpqKLVu2NFb5emOQGEivXr1w+fJlscsQVamyBAXFd6FWV/WR7PttDVKzz6PNU13h7R7w2H2HhE3H+ZQj2PLTh+jgFw5lRSm+OfIxerZ7FZHdJxrpFRAJ169fP6xfvx4tW7bUa78ePXqgR48eWLJkCSZOnIi4uDgA2iECAIcOHcK3335r8LqFYJCQwWw9NBdbD83VWhbW9hVMG7KyXvu/M/wrTFrRAZ9si0GFSgl3p6fw9tANjVEqkcHZ2tpixYoVmDBhgtbyS5cuYefOnTh79izOnz+v6UN1dXVFx44d0blzZ0RHR6N9+/YAAC8vL+zbtw9bt27Fv/71L+zevVsrRKKiolBaWmrcF1cHk+8jKSsrw2effYawsDA4OzvD0tIScrkcXbt2xezZs3Hz5k3Ntm3btoVEIkF8fDy2bNmC8PBwuLi4wMrKCkFBQdi0aVOtz+Pr6wuJRFKjVSKXyyGRSJCeno6EhASMHj0aCoUCtra26NixI3bs2NFor93YXn5uAha/cRgfj9+Pv0cshr2NC+4WZMHSQlav/R1sXPDOsK+Qcz8ddwuy8V7MNthZOzVu0UQG4OzsjCNHjmiFyLFjx/D888/j2Wefxbx58xAXF4fs7GyUl5ejvLwct27dwoEDB/DRRx+hQ4cOCAsLw8GDBzX7jxkzBgcOHGjyIQKYeJDcuXMHXbt2xcyZM3H69Gm4u7ujQ4cOMDMzw9mzZ7F06VIUFxcDqAqcK1euQCqVYvHixRg7diySkpLg6+sLKysrJCcnY/z48fjyyy9rPE9+fj4yMjJgY2ODgIC/TuHcvn0bt2/fhoODA77//nt07twZhw4dgpeXF2QyGRITExETE4NDhw4Z7T1pTAo3f4QE9EXXNgMwPHw2Pnp9H65kxeOz3ZPqfYzfkvdqfr52M6ERqhSXra0tevToIcrNh6hx2Nvb49ChQ3juuecAAIWFhZg0aRJeeOEFHDt2rN7HOXXqFAYMGICxY8eisLAQACCVSgFUhVJTDRHAxINk1qxZSEpKwsiRI5GVlYWrV68iPj4eN2/eRGZmJhYvXoxWrVoBAC5evIiKigpUVlZi3759+OKLL5CTk4Nz587h9u3bePXVVwEAc+fOrdERlpCQAABo164dzMz+eksTExMBAKWlpZg/fz62bduGnJwcxMfHIzs7G5GRkQCAjRs3NvZbIYog31D0DRmN44nf4mL6r3Vu/+vFvfj+1Bd4qcvraPd0T6yLewdpt/40QqXG4+vriw0bNsDX11fsUshANm/ejM6dOwOoGkzRvXt3rF27VmsEoj6uXr1a43a5KpWqyYYIYOJBsmfPHkilUqxbtw4tWrTQWqdQKDB79mzNP1h1GADA+vXrMXXqVFhYWAAArK2tsWrVKlhYWCAvL09rW+CvwOjYsaPO5UqlEtu3b8fw4cM1zyeTyTB58mQAVUOHTdXf+v4TZmZSbPnpw8dud7cgG8t3joOPRyCmDv4S743cBisLa3y8bQTKlA+NVG3jq6ysRFFRESorK8UuhQxgxIgReOWVVwAA9+7dwwsvvICLFy82+HjVHevVt/it/tL6wgsv4I033hBecCMx2SCpqKhAeXk5Kisrcfz48Tq3r/7Q7927N8aMGVNjvYeHh2YUxu3bt7XWVQdLhw4ddB4zOjoaAwYMqHHM8vJyANC6OC0rKwtTp05F165dYWVlVeObSXOjcGuF8A4jcD71CP68/ovObVQqFT7Z/jeUlhfjg1HfQmZpAw+np/D20I3IuJ2M1T/MNG7Rjejy5cvo0qXLEz/CzxS4urpqneqeOHGioJuW6RqdNXToUM365cuXN9kZEUx21Ja5uTkGDx6M7777DpGRkXj++ecRHR2NQYMG6fzHqP7QnzSp9vP5NjY2AKD5h65WHSS1tUiGDx+u83hXrlwBAK1+ldTUVOzevRtdunSBpaUlTp069ZhXWT+dO3dGTk6OXvtYmltj3dQUwc8NADEvvI9jCd9gy6EPsWxSzXPG244sQNL1E5g+ZBWe9mynWR7WbggGdn8T+35bhU4BL6Jn+1cf+zz+Af4orzB+62Xs2LH13vbWrVsAgP379+P8+fP13m/z5s16VtX0DHl9JmztHHAr5xa8vb1rPG5qVCrVY9dPmDABrq6uAIBvv/0Wu3fvbvBz6QqR6j6RjRs3Yvz48bC3t8eUKVMwZ86cWo/j7++vdXpdH3K5HGfPnm3QvhJ1Q0/kNQOlpaVYtGgRNmzYgOzsbACARCJBnz59sHDhQq2LB52dnZGfn4/c3FydV6arVCo4OzvjwYMHSElJ0fStKJVK2NnZoaKiAg8ePNB0opaVlWmW3717V/ML96iYmBjs2LEDGzduxLhx4zTPU/2LMG/ePMyfP7/B51qreXt7a15/fcksbLBvYbGg5zW2gXNsUao0/n0+3nrrrXpve/v2bWzfvh0jR46scbr1cT799NOGlNakvPmPRbB3dEZhwX2s+uS9Go+bEzMzM6SlpcHHxwcqlQp+fn5IT09v0LEeFyJA1dmQzMxMWFpa4s6dO/D29taczTAkhUKBrKysBu1rsi0SoKofYt68eZg7dy4SEhLwww8/YO3atTh27Bj69euHy5cvQ6FQICMjA/n5+bCzs6t1epMzZ87gwYMH8PHx0YQIUDVGvLy8HP7+/lojcZKTk1FRUQEfHx+dIQJA84300ZZMQ79NPI5cLtd7H0tza4PX0dg8vbxEaZFUt1TrQyaTaf6vz35N9ZSGPsz+OwLJTCqFQqGo8bipUalUmhbk/3rppZc08179+OOPjRYiAJCbm4vdu3cjJiYG7u7uGDx4MHbu3KnzeJ6enoJaJA1l0kFSTSKRIDg4GMHBwZg5cybat2+PzMxMnDlzBkOGDNGcgnpcU3bt2rUAgJEjR2otr+u0VnBwsM7jFRcXIyUlBRYWFmjbtnGn/2hIc7WyHDj2eSMU04hSrqZAamn859Wnv+PixYvYtGkTIiIiEBQUVO/9FixY0JDSmpSFK7fhQVExPOWeyMrKqvG4qSkuLtZ0ev+vnj17an5u6GnH+oTIo88RExOjee7agiQlJUWUoeUm29leGycnJ1haVn3aeHh4APgrDEpKSnR+KPz666/YunUr7O3tMWvWLK11dY3Yqi1IkpKSoFKpEBgYqKmHTF9AQABOnTql1S9GzU+nTp00P//+++96769PiADA6dOndT53U2GSQbJlyxbExsYiOTlZa/n9+/cxceJEXLt2DW3atNH0kVR/6FtYWGDatGnIz8/X7BMXF4eoqCioVCqsX78ebm5uWsesa8RWbUFSfVqrtvVkmiwsLODi4qIZWk7NU/XfbU5OjtbsGPWhb4gAQEFBAVJTUwFUfWltaqM5TTJITpw4gSVLliAoKAgeHh7o0qULgoKC4OXlhXXr1sHb2xu7d+/WXDVa/aG/bNky/Oc//4FCoUBISAi8vb0xcOBA3Lt3D4sXL9Y5+qqhLRJd/SNk+m7cuIE333wTN27cELsUEqB65ubMzEy99mtIiFSrfi5ra2tNX1tTYZJ9JBMmTIBcLsfPP/+M9PR0JCUlwdLSEkFBQYiKisL06dPh6OgIoGo6g+vXr8PFxQXTp0+Hl5cXFi1ahOTkZFhbW2PQoEGIjY1FaGhojefJysrCvXv34ObmptVZmJWVhby8PLi6uuKpp57SWSOD5MlUWFiIY8eOYcqUKWKXQgL06dMHMpkMDx/qN7hj8uTJDZ476x//+AccHBzw8OHDRhm1JYRJBkm3bt3qfV+QpKQkqNVqTYd3dHQ0oqOj67Wvt7e3zqG5tS1/VEPHaxOR+E6ePNmg/aqvB7GxsdF77qxH+0maGpMMEn1Un4Jq165dHVsaz65duwBA08dT/djX11czpw8RNT9KpRLDhg2DVCpt0nNn6euJD5JHJ1xsKh6dFuHRx6+99ppJXOFM9CRTKpVQKpVil2FQJtnZro+m2CJRq9U6/2vOIbL029ex7cjHWsty8zMx+J9OeFjevK6gF6JFixaIjY3V66p2oqbuiQ4SlUqFCxcuAECjXxT4JCtTPsTPiTvRL2S01nIPp6fQShGMk0kNn6OouXFzc8PYsWNrDCMnas6e6CAxMzNDcXEx1Go1HBwcxC7HZGXmXoG5uSU8nKumlNh25GPcL8oFAPh5dUTqzfpPXtjcFRQU4ODBgygoKBC7FCKDeaKDhIxHavZXd9yx89uRe7/qOgoziVSskkSRlZWFt956q0lOCULUUAwSanQKd38oK8qQmn0eufmZKHx4H+dSDqNSVYmEa0fRShEidolEJMATP2qLGp+1pS2mDVmFj74eCqnUAu/F/Avbj3yMg2c2oo3Pc+jTQff9WoioeWCQkFH07TQKfTuN0jwObvW8iNUQkSHx1BaREclkMgQGBja5uZKIhGCLhMiI/Pz8sGfPHrHLIDIotkiIiEgQBgmRESUnJ6N9+/Y17pVD1JwxSIiMSK1WQ6lU1jk7NFFzwj4S0snMAgifLnYV+jHjTQfJgGxsbFBUVGSw4y1duwMPikvgYGuDdyeOqPHYEGxsbAxyHH0xSEgniQSQ8lby9ASTSCSwtbU12PEsrWSwVFbC0koGW1vbGo+bM57aIiIiQdgiITIiPz8/7N27t9ZbMBM1RwwSIiOSyWTw9/cXuwwig+KpLSIjys7OxgcffIDs7GyxSyEyGAYJkRHl5+dj9+7dyM/PF7sUIoNhkBARkSAMEiIiEoRBQkREgnDUFpFAbdq0qfe2jo6OmDt3LkJDQ+Hp6dmIVREZD4OEyIg8PT0xb948scsgMiie2iIiIkEYJEREJAiDhIiIBGGQEBGRIAwSIiIShEFCRESCMEiIiEgQBgkREQnCICEiIkEYJEREJAiDhIiIBGGQEBGRIAwSAgAsXboU3bt3h7OzM5ycnBAWFoaDBw+KXRbRY+3fvx8dO3aElZUVfH19sWLFCrFLMqqff/4ZUVFRaNmyJSQSCRYsWCBKHQwSAgAcPXoU48aNw7Fjx3DmzBmEhoYiMjISp06dErs0Ip3Onj2LqKgoDBgwAAkJCZg3bx7mzJmDNWvWiF2a0RQVFeHZZ5/FkiVLIJfLRauD08gTAODAgQNaj5csWYKDBw9iz5496NGjh0hVEdVuxYoV6NKlCz755BMAQGBgIC5evIhFixZh0qRJIldnHBEREYiIiAAAxMbGilYHg4R0UqlUePDgAWxtbcUuhZqZnDt5eFBUUmN5RWWl5v9X07JqPK4mNTPDMz6ekEgkj32eU6dOYfz48VrL+vfvj2XLliErKwve3t5CX0qDlDwsRVbO3RrL6/v6AcCrhSvsbKwbv1gDYZCQTgsXLkR+fj4mTJggdinUzCgrKrD5uwNQqdU615c8LMWmnftrffxSry7wa+lV5/PcunWrxumc6se3bt0SLUisLC1x6Od4ZOXc0bm+rtffws0ZU18b0uh1GhL7SKiGVatWYeHChdi1a5dof4zUfD3l6YHnQ0MatK+PVwv0eq6DgSsyLqnUDMMiw2FuLtV/X7OqfS3Mm9d3fAYJaVm2bBneffdd7N27F3379hW7HGqmwrsHw9vTXa99LC3MMSyyD6Rm9ftY8vT0RE5Ojtay27dva9aJycPVCRF9ntN7v75hnaBo4dYIFTUuBglpfPjhh5g/fz7279/PECFBpFIzDH85HBZ6fCt/+fnucHN2rPf2PXr0wE8//aS17ODBg2jZsmWTaEl3CwmCv6+i3tu3VLRA72baGmOQEABg5syZWLp0Kb7++mu0bt0aOTk5yMnJQUFBgdilUTPl7uqEiPBu9dq2jZ8PunZoo9fx33rrLZw5cwbvv/8+Ll++jC1btuCLL77Ae++915ByDc5MIkF0RB9Yy6zq3NbSwhzDXg6HWT1bY9WKioqQkJCAhIQElJeXIycnBwkJCUhNTW1o2Q0iUatr6RGjJ0ptI2Ree+01bN682bjFkMlQq9X46rsDNUYlPcrG2gpvjRsKezsbvY//448/Ys6cObh8+TLkcjlmzJiBt99+W0jJBpeYnIpv9h197Dav9O+ld5ACwPHjxxEeHl5jee/evXH8+HG9j9dQDBLSS8nDUuTlF+p9/pueXA8Ki/Hppl14WFqmc/2owf3QtvXTRq7KuL7ZewSJl67pXBfYygdjXnmpzuHOTRlPbZFefon/E19u/Td+PPq72KVQM+Fgb4shL4bpXBfSNsDkQwQAol4Mg4NdzWuybK1leKV/r2YdIgCDhPRQ/LAUv/5xAQDg6y3edAzU/LQP9EPHZ1tpLXNysMOgvqEiVWRcNjIrDI3oXWP5K/17wd5W/1N6TY3JBIlEItGk+r59+9CzZ084ODjAzc0N0dHRuHbtr2ZlXFwcevfuDScnJzg4OCAqKgopKSm1HrusrAyfffYZQkND4eTkBJlMhtatW+Pdd9/F3bs1r2AFgNOnTyM2NhZdunSBXC6HlZUVFAoFhg0bhvj4+Fqfa//+/YiIiICHhwcsLCzg6uqKwMBAjBs3TvR5r07G/4myciU8PVzxrH9LUWuh5mdQvx5wtK/6Vi4BMOzlPpBZWYpblBH5P+2N0E5Bmsed2gUgKMBXvIIMSW0iAKgBqL/88ks1ALWXl5c6ODhYbW1trQagVigU6tzcXPWnn36qBqD29PTUWi+Xy9W5ubk1jpuTk6MODg5WA1CbmZmpW7ZsqW7Xrp3ayspKDUDt4+OjvnbtWo39/Pz81ADULi4u6qCgIHVwcLDa1dVVDUBtbm6u3rVrV419Vq5cqXkdrq6u6pCQEHVgYKDazs5ODUA9ceLERnnv6qOo5KH6wxWb1LGL1qovXEkTrQ5q3lLSstSxi9aqfzz6m9iliKKsXKletu5b9aLV29UPS8vELsdgTKazvbo1YmNjg9WrV2PMmDEAgLy8PPTv3x/x8fGIjIzEkSNHsGbNGs36e/fu4aWXXsIff/yB2NhYLFq0SHNMtVqN8PBwnDhxAi+//DK+/PJL+Pr6Aqgadjdjxgxs2rQJ3bt3x6+//qpVz9atWxEaGopWrf5qzqtUKvzwww8YM2YMzM3NkZmZCTs7OwBARUUFPDw8cP/+faxatQoTJkyAVCrV1PHLL7/g3r17GDJE/6kTvtiyB4VFD/Xe71Fl5eUoK1fCzMysWc0BRE1PuVIJC3PzZt8v0FCVlZVQAzCX6n/le2Oyt7PGtNdeadC+Jhck06ZNw+eff6617uDBgxgwYECt6w8cOICIiAi0b98eiYmJmuX79+/Hyy+/jLZt2yI+Ph4ymUxrv8rKSnTt2hXnzp3DyZMn6z1L7j//+U8sWLAA33zzDUaMGAEAyMnJgaenJ5ydnZGXl6ffi6/DwpXb8KCo2KDHJCLT4mBnizlT/tagfZvXhC718Pe//73GspCQkHqtv379utby3bt3A6i6luJ/QwQApFIpBg0ahHPnzuH48eM1giQlJQU7duxAYmIi7t27B6VSCQDIzc0FACQkJGiCxN3dHTKZDPn5+Th8+DD69etX79dcF3s7YS0ItkaITJ+QzwmTCxI/P78ay9zd3R+73sPDA0DV6apHJSUlAQC++uorfP/99zqfr3pun+zsbK3ly5cvx3vvvYeKiopaa713757mZ6lUihkzZmDx4sV48cUXERISgr59+yIsLAy9e/eGg4NDrcepS0Obq0DVSK0la74BAPwtqq/pdA4SkcGY3Kmt2l5OQ9b7+/vXe6qBR68AP3XqFMLCwiCVSjF//nxERUXB19cXtra2kEgk2LRpE8aPH1/jqnGVSoVVq1Zh5cqVuHz5sma5lZUVRo4ciWXLlsHFxaVe9TxKSB8JWyNETwYhfSQm1yIxpOqO8L1792LgwIH13u/rr78GAMyaNQvvv/9+jfWPtkQeZWZmhqlTp2Lq1KnIysrCL7/8gsOHD2Pnzp346quvkJmZicOHD+v9OgqLHgruI1GpVOxnISKdGCSPERQUhISEBFy4cEGvIElLSwMAhIXpvpr399/rvirc29sbMTExiImJwaxZs9CuXTv85z//QVpaGp5+Wr8rgRt67pOtEaInB/tIGkl0dDS2bduGdevWYdq0aZoWSl2srav+Qf73XglAVQd8XFycXnUEBQXB0dER+fn5uHnzpt5B0pDmKvtGiKi+TObK9sYQFRWF3r17Iz09HS+++CIuXLigtV6lUuG3337DpEmTtEZ89ezZEwDwySefaF1Rf/HiRQwcOFDnVNHJycl444038Pvvv2v101RWVuL//u//kJ+fD5lMhqCgoBr7NgZexU5E9cXO9jrW3717F1FRUZoLDlu2bAm5XI6HDx/i2rVrKC6u6je4dOkS2rSpmga6sLAQISEhSE1NhYWFBVq3bg2VSoVLly7B09MTb775Jj744AOtzvaEhAQEBwcDAOzt7eHn5wepVIr09HRNn8qqVaswefLkBr0/+qhujZSVKzF6yItsjRDRY7FFUgc3NzecOHECmzdvRr9+/VBcXIyzZ88iLS0NrVq1wowZM3DixAkEBARo9rG3t8fJkycxbtw4ODs748qVKygqKsLEiRNx7tw5KBQ175oWEBCADRs2YPjw4fD09MT169eRmJgImUyGoUOH4pdffjFKiABAaVk5fLw82BohonoxmRYJGV5pWfkTNakeETUMg4SIiAThqS0iIhKEQUJERIIwSIiISBAGCRERCcIgISIiQRgkREQkCIOEiIgEYZAQEZEgDBIiIhKEQUJERIIwSIiISBAGCRERCcIgISIiQRgkREQkCIOEiIgEYZAQEZEgDBIiIhKEQUJERIIwSIiISBAGCRERCcIgISIiQRgkREQkCIOEiIgEYZAQEZEgDBIiIhKEQUJERIIwSIiISBAGCRERCcIgISIiQRgkREQkCIOEiIgEYZAQEZEgDBIiIhKEQUJERIIwSIiISBAGCRERCcIgISIiQRgkREQkCIOEiIgE+X8sufrKgwZOkwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 496.776x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Nwires = 2\n",
    "backend = SpinSimulator()\n",
    "qc_rabi = QuantumCircuit(QuantumRegister(Nwires, \"spin\"))\n",
    "\n",
    "all_modes=range(Nwires)\n",
    "omega_t = Parameter(\"ω\")\n",
    "\n",
    "qc_rabi.rlx(omega_t, [0, 1])\n",
    "\n",
    "qc_rabi.measure_all()\n",
    "qc_rabi.draw(output='mpl', style='clifford')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b05af072-2603-4506-9911-689f5017f02f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "phases = np.linspace(0, 2*np.pi, 15)\n",
    "\n",
    "rabi_list = [\n",
    "    qc_rabi.assign_parameters(\n",
    "        {omega_t: phase},\n",
    "        inplace=False,\n",
    "    )\n",
    "    for phase in phases\n",
    "]\n",
    "\n",
    "n_shots = 500\n",
    "job_rabi = backend.run(rabi_list, shots=n_shots)\n",
    "result_rabi = job_rabi.result()\n",
    "counts_rabi = result_rabi.get_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "034b74d1-81d8-4363-a8db-89af6424f442",
   "metadata": {},
   "source": [
    "next we have to count the sum of the probabilities of both spins being in state 1, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7d05af5b-80cc-4490-aa9b-5e50a673dced",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "sum_rabi = []\n",
    "for i, _ in enumerate(phases):\n",
    "    counts_up = 0\n",
    "    for outcome, count in counts_rabi[i].items():\n",
    "        if outcome[0] == \"1\":\n",
    "            counts_up += count\n",
    "        if outcome[-1] == \"1\":\n",
    "            counts_up += count        \n",
    "    sum_rabi.append(counts_up/n_shots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8666fef0-2ce7-46cd-a78f-122cf19278cf",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'sum of spins up')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots()\n",
    "\n",
    "ax.plot(phases, sum_rabi, 'o')\n",
    "ax.set_xlabel('phase')\n",
    "ax.set_ylabel('sum of spins up')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "985b7f66-8e31-4440-b562-665198891ac5",
   "metadata": {},
   "source": [
    "### Including the Blockade\n",
    "\n",
    "Next, we implement the protocol which shows Rydberg blockade. This is done with the `rydberg_full` gate. It implements the already mentioned Hamiltonian time dynamics. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3728ca56-aff3-49f6-beff-905379818e9b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 663.998x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Nwires = 2\n",
    "backend = SpinSimulator()\n",
    "qc_block = QuantumCircuit(QuantumRegister(Nwires, \"spin\"))\n",
    "\n",
    "all_modes=range(Nwires)\n",
    "omega_t = Parameter(\"ω\")\n",
    "phi_t = Parameter(\"φ\")\n",
    "\n",
    "qc_block.rydberg_full(omega=omega_t, delta=0, phi=phi_t, modes=all_modes)\n",
    "\n",
    "qc_block.measure_all()\n",
    "qc_block.draw(output='mpl', style='clifford')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01867bc4",
   "metadata": {},
   "source": [
    "To simulate the blockade, we have to set the interaction strength $\\phi$ to a value that is larger than the Rabi frequency $\\Omega$. This is done by setting the `interaction_strength` parameter of the `rydberg_full` gate to a value much larger than 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "393e9539-e248-487b-b1b1-e16b2b0feb84",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "phases = np.linspace(0., 2*np.pi, 15)\n",
    "\n",
    "block_list = [\n",
    "    qc_block.assign_parameters(\n",
    "        {omega_t: phase, phi_t: phase*10},\n",
    "        inplace=False,\n",
    "    )\n",
    "    for phase in phases\n",
    "]\n",
    "\n",
    "job_block = backend.run(block_list, shots=n_shots)\n",
    "result_block = job_block.result()\n",
    "counts_block = job_block.result().get_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9dee25ee-a0a7-4532-8862-8214a3d18a59",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "sum_block = []\n",
    "for i, _ in enumerate(phases):\n",
    "    counts_up = 0\n",
    "    for outcome, count in counts_block[i].items():\n",
    "        if outcome[0] == \"1\":\n",
    "            counts_up += count\n",
    "        if outcome[-1] == \"1\":\n",
    "            counts_up += count        \n",
    "    sum_block.append(counts_up/n_shots)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5760868-6683-4c0f-a4f0-617159c67242",
   "metadata": {},
   "source": [
    "Now we can compare the dynamics without Rydberg blockade and with Rydberg blockade."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "5c7fb6bd-b50f-48ad-b5d4-12db091c1df9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'sum of spins up')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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90aFDB4SGhsLd3R3JycmN/oxJkyZh7ty5GD16tGRdzu7duzFw4EA899xz6N27N0JCQpCdnW14XK1Ww8/PT5IQVVdXIy0tzXA/LCwMrq6uyM3NRUhIiOQWEBBwS78Te8IRICJqFhwBoZtSqoD4eeJur4bGC+Pniv0soLKyEvn5+QDEKbCFCxeirKwMo0aNMur73HPPYcGCBZg6dSqmTJmCY8eOYdasWUhMTIRSqYSbmxumTZuGV199FS4uLhg0aBDOnz+Pw4cPY+LEiZJrTZ06FTqdDvfddx82b96MwYMHIzQ0FMuXL8eWLVsQHByMb7/9Fn/++SeCg4MNz3vhhRcwd+5chIaGolu3bvjwww9RVFRkeNzT0xMvv/wyXnrpJej1egwePBjFxcXYvXs3vLy8DGuTHBUTICJqNjUjIEQNChsNPLRc3A1We0G0l7+Y/ISNttiPTkpKgp+fOBrp6emJbt264YcffsCwYcPw999/S/q2b98ev/zyC1555RVERETA29sbEydOxH//+19Dn9dffx1OTk6YOXMmzp07Bz8/Pzz77LP1/uwXX3wRer0e99xzD5KSkvCvf/0LBw4cwLhx46BQKDB+/Hg899xz2Lx5s+E5//73v6HVapGQkAClUoknn3wS999/P4qLiw193nrrLbRr1w5z5szBqVOn0KpVK/Tp0wevvfaaGX9ztkkh1C0aQCgpKYFarUZxcTG8vLzkDoeIyGZUVFQgJycHwcHBcHO7jZ19ep2426usQFzzEzjQYiM/ZFsa+ztmyuc3R4CIiMj6KFUW2epOVIOLoImIiMjhMAEiIiIih8MEiIiIiBwOEyAiIiJyOEyAiIiIyOEwASIiIiKHwwSIiIiIHA4TICIiInI4siZAv//+O0aNGgV/f38oFAqsXbu20f6PP/44FAqF0a1Hjx6GPm+88YbR4926dbPwKyEiIls2bNgwvPjii432CQoKwoIFC8z2M819PaBpr6M+TfkMtjeyJkDl5eWIiIjAokWLmtT/o48+glarNdzy8vLg7e2NBx98UNKvR48ekn67du2yRPhEREQ25Y033kBkZKTcYVgFWY/CGDlyJEaOHNnk/mq1Gmq12nB/7dq1uHz5Mp544glJPycnJ2g0GrPFSUREROYlCAJ0Oh2cnORJRWx6DdBXX32F2NhYBAYGStpPnDgBf39/dOrUCY888ghyc3MbvU5lZSVKSkokNyIiuk2CAFSVy3sz4bzv6upqTJkyBWq1Gm3btsXrr7+Oxs4Lz83NxZgxY+Dh4QEvLy889NBDKCgokPTZsGED+vfvDzc3N7Rt2xb3339/g9f78ssv0apVKyQnJwMAMjMzMXLkSHh4eMDX1xePPfYYLly4YOhfXl6OCRMmwMPDA35+fvjggw8afX3Lli3D7NmzcfDgQcMSkWXLlhkev3DhAu6//360aNECoaGhWL9+veT5N4unsrISzz//PHx8fODm5obBgwfjzz//NDy+Y8cOKBQKbN68GX379oWrqytWrFgBpVKJ/fv3S37WggULEBgYCL1e3+hruh02exjquXPnsHnzZqxcuVLSHh0djWXLlqFr167QarWYPXs2hgwZgszMTHh6etZ7rTlz5mD27NnNETYRkeO4dgXY/bG8MQx6HnBp2aSu33zzDSZOnIjU1FTs378fzzzzDDp27Iinn37aqK9erzckPzt37kR1dTUmT56McePGYceOHQCATZs24f7778d//vMfLF++HFVVVfjll1/q/dnvvvsu3n33Xfz666+IiopCUVER7rzzTjz11FOYP38+rl69imnTpuGhhx7Ctm3bAACvvPIKdu7ciXXr1sHHxwevvfYa0tPTG5ziGjduHDIzM5GUlITffvsNACSzKrNnz8a7776L9957D5988gkeeeQRnD59Gt7e3k2K59VXX8VPP/2Eb775BoGBgXj33XcRFxeHkydPwtvb2/Bzpk+fjvfffx+dOnVC69atERsbi6+//hr9+vUz9Pn666/x+OOPQ6m03DiNzSZA33zzDVq1aoWxY8dK2mtPqfXq1QvR0dEIDAzE6tWrMXHixHqvNWPGDCQmJhrul5SUICAgwCJxExGRdQoICMD8+fOhUCjQtWtXHDp0CPPnz683AUpOTsahQ4eQk5Nj+LxYvnw5evTogT///BP9+/fH//73Pzz88MOSL9gRERFG15o2bRq+/fZb7Ny507CpZ+HChejduzfeeecdQ7+lS5ciICAAx48fh7+/P7766iusWLECd911FwDxc7FDhw4Nvj53d3d4eHg0uEzk8ccfx/jx4wEA77zzDj7++GOkpqYiPj7+pvG0b98eixcvxrJlywyfw1988QW2bt2Kr776Cq+88orheW+++SZGjBhhuP/UU0/h2WefxYcffghXV1ekp6fj0KFDWLduXYOvxRxscgpMEAQsXboUjz32GFxcXBrt26pVK3Tp0gUnT55ssI+rqyu8vLwkNyIiciwDBgyAQqEw3I+JicGJEyeg0+mM+h45cgQBAQGSL8thYWFo1aoVjhw5AgDIyMgwJCcN+eCDD/DFF19g165dkh3NBw8exPbt2+Hh4WG41exozs7ORnZ2NqqqqhAdHW14jre3N7p27XprLx7ioEGNli1bwsvLC4WFhU2O59q1axg0aJDhGs7OzoiKijL8PmrUHukBgLFjx0KlUmHNmjUAxKm64cOHIygo6JZfS1PYZAK0c+dOnDx5ssERndrKysqQnZ0NPz+/ZoiMiIhI5O7uftM+Q4YMgU6nw+rVqyXtZWVlGDVqFDIyMiS3EydO4I477rBIvM7OzpL7CoXCsAbHnPG0bCmdknRxccGECRPw9ddfo6qqCitXrsSTTz55ey+mCWSdAisrK5OMzOTk5CAjIwPe3t7o2LEjZsyYgbNnz2L58uWS53311VeIjo5GeHi40TVffvlljBo1CoGBgTh37hxmzZoFlUplGNYjIqJm4txCXIMjdwxNtG/fPsn9vXv3IjQ0FCqVyqhv9+7dkZeXh7y8PMMoUFZWFoqKihAWFgZAHFFJTk422qlcW1RUFKZMmYL4+Hg4OTnh5ZdfBgD06dMHP/30E4KCgurdJdW5c2c4Oztj37596NixIwDg8uXLOH78OIYOHdrgz3Nxcal3ROtmmhKPi4sLdu/ebdiYdO3aNfz5559Nqkv01FNPITw8HJ9++imqq6vxwAMPmByjyQQZbd++XQBgdEtISBAEQRASEhKEoUOHSp5TVFQkuLu7C59//nm91xw3bpzg5+cnuLi4CO3btxfGjRsnnDx50qS4iouLBQBCcXHxrbwsIiKHdfXqVSErK0u4evWq3KGYZOjQoYKHh4fw0ksvCUePHhVWrlwptGzZUliyZImhT2BgoDB//nxBEARBr9cLkZGRwpAhQ4S0tDRh3759Qt++fSWfWdu3bxeUSqUwc+ZMISsrS/jrr7+EuXPn1nu9P/74Q/Dw8DDcP3v2rNCuXTvhn//8p5CamiqcPHlSSEpKEh5//HGhurpaEARBePbZZ4XAwEAhOTlZOHTokDB69GjBw8NDeOGFFxp8nf/v//0/oWXLlsKBAweE8+fPCxUVFYIgCAIAYc2aNZK+arVa+Prrr5sczwsvvCD4+/sLmzdvFg4fPiwkJCQIrVu3Fi5dumT4fQAQLl++XG9sAwcOFFxcXIRnn322wfgFofG/Y6Z8fss6AjRs2LBGtxjW3p5XQ61W48qVKw0+Z9WqVeYIjYiIHMyECRNw9epVREVFQaVS4YUXXsAzzzxTb1+FQoF169Zh6tSpuOOOO6BUKhEfH49PPvnE0GfYsGH44Ycf8NZbb2Hu3Lnw8vJqcLpo8ODB2LRpE+655x6oVCpMnToVu3fvxrRp03D33XejsrISgYGBiI+PN+yMeu+99wxTU56envj3v/+N4uLiRl/jP/7xD/z8888YPnw4ioqKDLutbsbf3/+m8cydOxd6vR6PPfYYSktL0a9fP2zZsgWtW7e+6fUBYOLEidizZ0+zTH8BgEJoLANxUCUlJVCr1SguLuaCaCIiE1RUVCAnJwfBwcFwc3OTOxyyIW+99RZ++OEH/PXXX432a+zvmCmf3za5CJqIiIjsQ1lZGTIzM7Fw4UJMnTq12X4uEyAiIiKSzZQpU9C3b18MGzas2aa/ABsuhEhERES2b9myZfWu+bU0jgARERGRw+EIEBGRg9DpBaTmXEJhaQV8PN0QFewNlVJx8yfeAu6vIUsx198tJkBERA4gKVOL2RuyoC2uMLT5qd0wa1QY4sPNVym/pmhgVVVVkyohE5mqphRO3crVpmICRERk55IytZi0Ih11vzfnF1dg0op0LH60j9mSICcnJ7Ro0QLnz5+Hs7OzRU/zJsciCAKuXLmCwsJCtGrVqt4K3aZgAkREZMd0egGzN2QZJT+AWHpfAWD2hiyMCNOYZTpMoVDAz88POTk5OH369G1fj6iuVq1a1XuavamYABER2bHUnEuSaa+6BADa4gqk5lxCTOc2ZvmZLi4uCA0NRVVVlVmuR1TD2dn5tkd+ajABIiKyY4WlDSc/t9KvqZRKJStBk1Xj5CwRkR3z8WxaEtLUfkT2ggkQEZEdiwr2hp/aDQ2t7lFA3A0WFezdnGERyY4JEBGRHVMpFZg1KgwAjJKgmvuzRoVZrB4QkbViAkTkQHR6ASnZF7Eu4yxSsi9Cp2exOkcQH+6HxY/2gUYtnebSqN3MugWeyJZwETSRg2iuQnhkneLD/TAiTNNslaCJrJ1CYL1yIyUlJVCr1SguLoaXl5fc4RDdtoYK4dV89HEUgIjsgSmf35wCI7JzNyuEB4iF8DgdRkSOhAkQkZ0zpRAeEZGjYAJEZOfkKoRHRGTNmAAR2TkWwiMiMsYEiMjOsRAeEZExJkBEdo6F8IiIjDEBInIALIRHRCTFQohEDoKF8IiIbmACRORAVEoFYjq3kTsMIiLZcQqMiIiIHA4TICIiInI4TICIiIjI4TABIiIiIofDBIiIiIgcjqwJ0O+//45Ro0bB398fCoUCa9eubbT/jh07oFAojG75+fmSfosWLUJQUBDc3NwQHR2N1NRUC74KIiIisjWyJkDl5eWIiIjAokWLTHresWPHoNVqDTcfHx/DY99//z0SExMxa9YspKenIyIiAnFxcSgsLDR3+ERERGSjZK0DNHLkSIwcOdLk5/n4+KBVq1b1Pvbhhx/i6aefxhNPPAEAWLJkCTZt2oSlS5di+vTptxMuERER2QmbXAMUGRkJPz8/jBgxArt37za0V1VVIS0tDbGxsYY2pVKJ2NhYpKSkNHi9yspKlJSUSG5ERERkv2wqAfLz88OSJUvw008/4aeffkJAQACGDRuG9PR0AMCFCxeg0+ng6+sreZ6vr6/ROqHa5syZA7VabbgFBARY9HUQERGRvGzqKIyuXbuia9euhvsDBw5EdnY25s+fj2+//faWrztjxgwkJiYa7peUlDAJIiIismM2lQDVJyoqCrt27QIAtG3bFiqVCgUFBZI+BQUF0Gg0DV7D1dUVrq6uFo2TiIiIrIdNTYHVJyMjA35+fgAAFxcX9O3bF8nJyYbH9Xo9kpOTERMTI1eIREREZGVkHQEqKyvDyZMnDfdzcnKQkZEBb29vdOzYETNmzMDZs2exfPlyAMCCBQsQHByMHj16oKKiAl9++SW2bduGX3/91XCNxMREJCQkoF+/foiKisKCBQtQXl5u2BVGREREJGsCtH//fgwfPtxwv2YdTkJCApYtWwatVovc3FzD41VVVfj3v/+Ns2fPokWLFujVqxd+++03yTXGjRuH8+fPY+bMmcjPz0dkZCSSkpKMFkYTERGR41IIgiDIHYS1KSkpgVqtRnFxMby8vOQOh4iIiJrAlM9vm18DRERERGQqJkBERETkcJgAERERkcNhAkREREQOhwkQERERORwmQERERORwmAARERGRw2ECRERERA6HCRARERE5HCZARERE5HCYABEREZHDYQJEREREDocJEBERETkcJkBERETkcJgAERERkcNhAkREREQOhwkQERERORwmQERERORwmAARERGRw2ECRERERA6HCRARERE5HCZARERE5HCYABEREZHDYQJEREREDsfpVp6k0+mwZs0aHDlyBADQvXt3jB07Fk5Ot3Q5IiIiomZlcsZy+PBhjB49Gvn5+ejatSsAYN68eWjXrh02bNiA8PBwswdJREREZE4mT4E99dRT6NGjB86cOYP09HSkp6cjLy8PvXr1wjPPPGOJGImIiIjMyuQRoIyMDOzfvx+tW7c2tLVu3Rr/+9//0L9/f7MGR0RERGQJJo8AdenSBQUFBUbthYWFCAkJMUtQRERkn3R6ASnZF7Eu4yxSsi9CpxfkDokclMkjQHPmzMHzzz+PN954AwMGDAAA7N27F2+++SbmzZuHkpISQ18vLy/zRUpERDYtKVOL2RuyoC2uMLT5qd0wa1QY4sP9ZIyMHJFCEAST0m+l8sagkUKhAADUXKL2fYVCAZ1OZ644m1VJSQnUajWKi4uZxBERmUFSphaTVqSj7geO4vqfix/twySIbpspn98mjwBt3779lgOr6/fff8d7772HtLQ0aLVarFmzBmPHjm2w/88//4zFixcjIyMDlZWV6NGjB9544w3ExcUZ+rzxxhuYPXu25Hldu3bF0aNHzRY3ERE1nU4vYPaGLKPkBwAEiEnQ7A1ZGBGmgUqpqKcXkfmZnAANHTrUbD+8vLwcERERePLJJ/HAAw/ctP/vv/+OESNG4J133kGrVq3w9ddfY9SoUdi3bx969+5t6NejRw/89ttvhvusT0REJJ/UnEuSaa+6BADa4gqk5lxCTOc2zRcYOTSTM4Pff/+90cfvuOOOJl9r5MiRGDlyZJP7L1iwQHL/nXfewbp167BhwwZJAuTk5ASNRtPk6xIRkeUUljac/NxKPyJzMDkBGjZsmFFbzdofAM267kev16O0tBTe3t6S9hMnTsDf3x9ubm6IiYnBnDlz0LFjxwavU1lZicrKSsP92gu5iYjo9vh4upm1H5E5mLwN/vLly5JbYWEhkpKS0L9/f/z666+WiLFB77//PsrKyvDQQw8Z2qKjo7Fs2TIkJSVh8eLFyMnJwZAhQ1BaWtrgdebMmQO1Wm24BQQENEf4REQOISrYG35qNzS0ukcBcTdYVLB3Az2IzM/kXWAN2blzJxITE5GWlnZrgSgUN10EXdvKlSvx9NNPY926dYiNjW2wX1FREQIDA/Hhhx9i4sSJ9fapbwQoICCAu8CIiMykZhcYAMliaO4CI3MyZReY2U6D9/X1xbFjx8x1uUatWrUKTz31FFavXt1o8gMArVq1QpcuXXDy5MkG+7i6usLLy0tyIyIi84kP98PiR/tAo5ZOc2nUbkx+SBYmrwH666+/JPcFQYBWq8XcuXMRGRlprrga9N133+HJJ5/EqlWrcO+99960f1lZGbKzs/HYY49ZPDYiImpYfLgfRoRpkJpzCYWlFfDxFKe9uPWd5GByAhQZGQmFQoG6M2cDBgzA0qVLTbpWWVmZZGQmJycHGRkZ8Pb2RseOHTFjxgycPXsWy5cvByBOeyUkJOCjjz5CdHQ08vPzAQDu7u5Qq9UAgJdffhmjRo1CYGAgzp07h1mzZkGlUmH8+PGmvlQiIjIzlVLBre5kFUxOgHJyciT3lUol2rVrBzc301fv79+/H8OHDzfcT0xMBAAkJCRg2bJl0Gq1yM3NNTz++eefo7q6GpMnT8bkyZMN7TX9AeDMmTMYP348Ll68iHbt2mHw4MHYu3cv2rVrZ3J8REREZJ/MtgjanvAoDCIiIttj0aMwiOjW6PQC1z4QEVkJJkBEzYCnYBMRWRezbYMnovrV1D+pexZSfnEFJq1IR1KmVqbIiIgcFxMgIgu62SnYgHgKtk7PpXhERM3J5AQoPT0dhw4dMtxft24dxo4di9deew1VVVVmDY7I1plyCjYRETUfkxOgf/3rXzh+/DgA4NSpU3j44YfRokUL/PDDD3j11VfNHiCRLeMp2ERE1snkBOj48eOGis8//PAD7rjjDqxcuRLLli3DTz/9ZO74iGwaT8EmIrJOJidAgiBAr9cDAH777Tfcc889AICAgABcuHDBvNER2Tiegk1EZJ1MToD69euHt99+G99++y127txpOI8rJycHvr6+Zg+QyJaplArMGhUGAEZJUM39WaPCWA+IiKiZmZwALViwAOnp6ZgyZQr+85//ICQkBADw448/YuDAgWYPkMjW8RRsIiLrY7ajMCoqKqBSqeDs7GyOy8mKR2GQJbASNBGRZTXLURhVVVUoLCw0rAeq0bFjx1u9JJFd4ynYRETWw+QE6Pjx45g4cSL27NkjaRcEAQqFAjqdzmzBEREREVmCyQnQE088AScnJ2zcuBF+fn5QKDiET0RERLbF5AQoIyMDaWlp6NatmyXiISIiIrI4k3eBhYWFsd4PERER2TSTE6B58+bh1VdfxY4dO3Dx4kWUlJRIbkRERETWzuRt8EqlmDPVXftjT4uguQ2eiIjI9lh0G/z27dtvOTAiIiIia2ByAjR06FBLxEFERETUbJqUAP31118IDw+HUqnEX3/91WjfXr16mSUwIiIiIktpUgIUGRmJ/Px8+Pj4IDIyEgqFAvUtHbKXNUBERERk35qUAOXk5KBdu3aG/yYiIiKyZU1KgAIDA+v9byIiIiJbdEuHoR47dgyffPIJjhw5AgDo3r07pk6diq5du5o1OCIiIiJLMLkQ4k8//YTw8HCkpaUhIiICERERSE9PR3h4OH766SdLxEhERERkViYXQuzcuTMeeeQRvPnmm5L2WbNmYcWKFcjOzjZrgHJgIUQiIiLbY8rnt8kjQFqtFhMmTDBqf/TRR6HVak29HBEREVGzMzkBGjZsGP744w+j9l27dmHIkCFmCYqIiIjIkkxeBD169GhMmzYNaWlpGDBgAABg7969+OGHHzB79mysX79e0peIrIheB5zeA5QVAB6+QOBAQKmSOyoiomZ3y4eh3vTCNlwUkWuAyC5lrQeSpgEl5260efkD8fOAMH5ZISLbZ9E1QHq9vkm3piQ/v//+O0aNGgV/f38oFAqsXbv2ps/ZsWMH+vTpA1dXV4SEhGDZsmVGfRYtWoSgoCC4ubkhOjoaqamppr5MIvuStR5YPUGa/ABAiVZsz1pf//OIiOyUyQlQfYqKim7peeXl5YiIiMCiRYua1D8nJwf33nsvhg8fjoyMDLz44ot46qmnsGXLFkOf77//HomJiZg1axbS09MRERGBuLg4FBYW3lKMRDZPrxNHflDfYO/1tqTpYj8iIgdh8hTYvHnzEBQUhHHjxgEAHnzwQfz000/w8/PDL7/8goiIiFsLRKHAmjVrMHbs2Ab7TJs2DZs2bUJmZqah7eGHH0ZRURGSkpIAANHR0ejfvz8WLlwIQByxCggIwNSpUzF9+vQmxcIpMLIrOX8A39x3834JG4FgbmQgIttl0SmwJUuWICAgAACwdetW/Pbbb0hKSsLIkSPxyiuv3FrETZSSkoLY2FhJW1xcHFJSUgAAVVVVSEtLk/RRKpWIjY019KlPZWUlSkpKJDciu1BdCZze3bS+ZQWWjYWIyIqYvAssPz/fkABt3LgRDz30EO6++24EBQUhOjra7AHW/dm+vr6SNl9fX5SUlODq1au4fPkydDpdvX2OHj3a4HXnzJmD2bNnWyRmIllUlgJn9gPnDgCX/27ac5zcLBoSEZE1MXkEqHXr1sjLywMAJCUlGUZbBEGw2V1fM2bMQHFxseFW8/qIbE75BeDoJmDvYiB3rzgCpA4AXDwaf56LJ5B/CDi+Bagqb55YiYhkZPII0AMPPID/+7//Q2hoKC5evIiRI0cCAA4cOICQkBCzB1ibRqNBQYF0mL6goABeXl5wd3eHSqWCSqWqt49Go2nwuq6urnB1dbVIzEQWJwhAcR6QlwpcOGH8uEIJhIwAstY0fI2Q69PGZ9OBgkygYwzQoT+gcrZMzEREMjN5BGj+/PmYMmUKwsLCsHXrVnh4iN8stVotnnvuObMHWFtMTAySk5MlbVu3bkVMTAwAwMXFBX379pX00ev1SE5ONvQhsht6PXD+GJC+HDjw/+pPfgBAoQDCRgH3LRDr/tTm6gWE3Q+063qjrboKOLUTSP0cyM8UEywiIjtj8i4wcyorK8PJkycBAL1798aHH36I4cOHw9vbGx07dsSMGTNw9uxZLF++HIC4DT48PByTJ0/Gk08+iW3btuH555/Hpk2bEBcXB0DcBp+QkIDPPvsMUVFRWLBgAVavXo2jR48arQ1qCHeBkVXTXROnq/JSgauXG+6ndAI04UBANNDCW2yrWwm6fV/gzJ/itfTV9V/HUwN0vhNoHWj+10JEZEamfH6bPAVmTvv378fw4cMN9xMTEwEACQkJWLZsGbRaLXJzcw2PBwcHY9OmTXjppZfw0UcfoUOHDvjyyy8NyQ8AjBs3DufPn8fMmTORn5+PyMhIJCUlNTn5IbJaVVeAc+nA2TTxvxvi7Ab49xGTG9c6a3+UKuOt7p2GAv69gZyd4ohPXaX5QMZKoG2omAjVJFNERDZM1hEga8URILIqVy8DeX8C+QcBXQOjNADgpgYCogBNL8DJ5dZ+Vmk+cDIZKMqt/3GFUkyWggYDLi1u7WcQEVmIzYwAEVEjSrRA3j7g/NHG1+F4+orTXO26A008q6/ha2mAyP8DLp4EsrcDVy5KHxf04ghUwSEgcBDQvh+g4tsIEdmeJr1zffzxx3jmmWfg5uaG3NxcBAQEQKFQWDo2IvvSlJPYBQG4dEpMfC6fbvx63sFi4tM6SFzobC4KhTjd5d0J0GaIlaSvXZX2qa4SE6Sz6UCnYYBPd/PGQET2Ta+//S9st6lJU2BOTk44d+4cfHx8oFKpoNVq4ePj0xzxyYJTYGR2NzuJXa8DCrPExKfsfMPXUSjFZCMgWhz5aQ7XKoDcFLGwYkMLpb38gM53Aa0CmicmIrJNeh1w8HvxPaXbvUDoCOMvgrfBlM/vJiVANTuy7rnnHgQHB2P//v1o27Ztg31tHRMgMquak9iNDiNViG13vi5WYa4sbfgaKmfAP1KszeOmtlysjblaBOT8DhQcbrhPuy5Ap+FcKE1ExrLWA7+8LD12x8MHuOcD8YugGZg9Afr8888xdepUVFc3vABTEAQoFAqbrQZdGxMgMhu9DlgQLh35qcvFExgwSRzdMXqsJdChn7jw2NndcnGaouQckL0NKGqgYrpSJe5CCxpkHHNTpgGJyP5krQdWP9bw4w99a5YkyOwJEACUlpbi9OnT6NWrF3777Te0adOm3n63ehq8NWECRGbT1JPYI8YDrWrV2WnRRtzR5RtunYuMBUEsvHhqO3DlUv19nFzF3WL+fcTXcLNpQCKyT3odML8HUKptuI9Xe+DFQ7f9hcgiu8A8PT0RHh6Or7/+GoMGDeLREURN0dQT1mvO31J3ADoOANqEWPeiYoVCnO5q01k8cPXvXfUslK4Ut9SfTRMTpi0zjK9TohWnBx9aziSIyF6d3tN48gMAJWfFfnXrlFmQyV8tExISAABpaWk4cuQIACAsLAx9+vQxb2RE9sCjiQuV23UD+jwmJkC2RKkSp+h8w4HcPdcXSteZBr9yCdj7aQMXEAAogKTp4oJITocR2Z8zqU3r19QvjGZicgJUWFiIhx9+GDt27ECrVq0AAEVFRRg+fDhWrVqFdu3amTtGItsVOBDw9Gv824+HBhg23bY//J3dxCrR/r3Fc8QKj9x4rDgPqCpr5MmCLN/+iKgZFJ8FLmY3rW9TvzCaicmb8KdOnYrS0lIcPnwYly5dwqVLl5CZmYmSkhI8//zzloiRyHYpVUDEw410UAD3vGfbyU9t7q2BHmOBPhMAdXuxrWZ672aa+dsfEVlYZSlw+GdxfY+LRyMdFWKfwIHNFhpwCwlQUlISPv30U3Tv3t3QFhYWhkWLFmHz5s1mDY7I5mn/AlSu4onrdd8AvNrb79oXdXug92NAj/ub/q2umb/9EZEF6aqBzJ+AyjJxh2vIiAY6Xl/rGD+32b8ImjwFptfr4ezsbNTu7OwMvV5vlqCI7EJpAXB8i/jf7bqK1ZVLteKuqLah9r8FXKEAfLoBcf8DDq8BrlxouK8M3/6IyEIEATi+WdzkUKNdVyDqX8CR9dIlAV7+YvIjwxdBkw9DHTNmDIqKivDdd9/B398fAHD27Fk88sgjaN26NdasWWORQJsTt8HTbbtWAaQtEw8yrS1sNODbQ5aQZNVMNUCIyArkpYo7QGtzbwX0fRxQuVi0Fpgpn98mT4EtXLgQJSUlCAoKQufOndG5c2cEBwejpKQEn3zyyS0HTWQ3BAE4utE4+Wnf1zGTH0BMbh76VlwQXpuLpzg92LaLPHERkXldOiUWSq1N5QyE/1MsjKpUiZsdev5T/FPGUXCTp8ACAgKQnp6O3377DUePHgUAdO/eHbGxsWYPjsgm5e0TiwTW5uUv7pJyZGGjxa3uxzYDmT+Kx3+oA8T1Acd+Ec82c28td5REdKuuXAKy1olfAmvrPhrwsL4d4iZPgTkCToHRLbt8Gjj4nfQNwNkd6PeEfGd4WSPtQeDoL9I2L3+g96P2vS6KyF5VVwLpy4HyOmv9goeIFeGbiUWnwIioAZWlxt9+FApx5IPJj5SmF+AbJm0rOQfk7JQnHiK6dYIAHNlgnPy06woEDpInpiZgAkRkDnodcHitcc2boMGAdydZQrJqCgXQJd54yit3X9OLphGRdfj7D+Npf492QLf7rPpIHyZAROZwajtQfEba1qazVX/7kZ2Tq1g0se6U19GN4mgaEVm/wqPA37ulbc5uQPg/ACcXeWJqIiZARLer8CiQ96e0zU0NdB9l1d9+rIKnxnhxeNUVcTiddcWIrFtZIXB0g7RNoRQLoNrAhgaTd4HVKCwsRGFhoVHxw169et12UEQ2o/wicGyTtE2pEt8AnN3licnWtO8LXP5bOoR++bR4uGozLp4kIhNUXQEO/ShWfK4t5C6gdZAsIZnK5AQoLS0NCQkJOHLkCGo2kCkUCgiCAIVCAZ1Od5MrENmJ6irxnJvqKml76AjAy6/+55AxhQLoeg9QulQ69fX3LqBVR/FGRNZDrwOy1gIVxdJ2v17iFxobYXIC9OSTT6JLly746quv4OvrCwWH+MkRCQJwPMl414MmHPCLlCUkm+bSAggbA2SsBITro8qCIFaQ7vek+DgRWYeTyeIobW3q9kBonE1N+5ucAJ06dQo//fQTQkJCLBEPkW04lw4UHJa2ebQTdzbZ0BuAVWkVIE555fx+o62yFDi6Saway98rkfzOZQBn06Rtrp7itL/qllfVyMLkRdB33XUXDh48aIlYiGxDyTnjc26cXIAeD4gl3+nWdYwxXj9w8SRw5s96uxNRMyo+A5z4VdqmdALCHxCTIBtjcrr25ZdfIiEhAZmZmQgPDzc6GX70aB5oSHas6op4srm+zlq3bvcBLbzlicmeKJXi7rn9X4m/6xqndojHZnBtFZE8KkqAzJ+N3/u6xotV3G2QyQlQSkoKdu/ejc2bNxs9xkXQZNf0euDIevGNoLaO0WLFUzIPVw8xCTr4/Y22mkWX/Z4U6wcRUfPRXQMyfzIu9BoQBWh6yhOTGZg8BTZ16lQ8+uij0Gq10Ov1khuTH7Jrp3cDl3Kkba0CgOBhckRj37w7AR0HSNuuFokHqfL4QqLmIwjiv7vSfGm7dzDQabg8MZmJyQnQxYsX8dJLL8HX19cS8RBZp4vZYgJUm0tLIGysOG1D5hd8h7izpLbCI+JBqkTUPPJSjTd8uLcWd23a+HufydE/8MAD2L59uyViIbIonV5ASvZFrMs4i5Tsi9DpmziScLVInPqSHHKqFI9xcPWwRKgEiAUlu482nvI6uRUoOy9PTESO5GK2eMxPbU4u4q5MOyj0avIaoC5dumDGjBnYtWsXevbsabQI+vnnnzdbcETmkpSpxewNWdAWVxja/NRumDUqDPHhjSys1VWLi56vVUjbOw1jgb7m4N4K6HavuPiyhq5aXA/U93HuuiOylCuXgKx1db74KcQvJS3byheXGZk8AvTll1/Cw8MDO3fuxMKFCzF//nzDbcGCBbcUxKJFixAUFAQ3NzdER0cjNTW1wb7Dhg2DQqEwut17772GPo8//rjR4/Hx8bcUG9m+pEwtJq1IlyQ/AJBfXIFJK9KRlKlt+MnZycZz3+26iIv/qHm062pcXbb8AnBiqzzxENm76krxmIvqSml70BCgbag8MVmAySNAOTk5N+9kgu+//x6JiYlYsmQJoqOjsWDBAsTFxeHYsWPw8fEx6v/zzz+jqurG0QMXL15EREQEHnzwQUm/+Ph4fP3114b7rq7cOeKIdHoBszdkob7JLgGAAsDsDVkYEaaBSlmn0F7+IeBsurSthTfQ9V4W5Wtune8EivPEwxdraA+KNYN8w2QLi2yPTi8gNecSCksr4OPphqhgb+N/+46spgL7lYvSdp9uQOBAeWKyENnLNn744Yd4+umn8cQTTwAAlixZgk2bNmHp0qWYPn26UX9vb2mtlVWrVqFFixZGCZCrqys0Go3lAiebkJpzyWjkpzYBgLa4Aqk5lxDTuc2NB8oKxaMualM5XT/k1M0ywVLDan73+5eKW3JrHN8snijPGkzUBLc8Fe5IcnaKxUdr8/Cxyy9+t3QWWGOWLl3a5GtVVVUhLS0NM2bMMLQplUrExsYiJSWlSdf46quv8PDDD6Nly5aS9h07dsDHxwetW7fGnXfeibfffhtt2rSp9xqVlZWorLwx1FdSUlJvP7I9haUNJz8N9quuFNf91D3luEu8+EZA8mjhDXSJA45svNFWXSWuU+j9mM2V4afmVTMVXnc0uGYqfPGjfZgEFWQBp+t89jq7A+H/EBc/2xmT1wBdvnxZcissLMS2bdvw888/o6ioyKRrXbhwATqdzmhLva+vL/Lz8xt41g2pqanIzMzEU089JWmPj4/H8uXLkZycjHnz5mHnzp0YOXJkg3WK5syZA7VabbgFBASY9DrIevl4Nm20xtBPEICjG8UFgLX597bpgl92Q9PT+P9DaT6Qs0OWcMg23GwqHBCnwpu8M9QelRYAxzZJ2xRKceTVvZUsIVmayV+Z1qxZY9Sm1+sxadIkdO7c2SxBNdVXX32Fnj17IipKuiD14YcfNvx3z5490atXL3Tu3Bk7duzAXXfdZXSdGTNmIDEx0XC/pKSESZCdiAr2hp/aDfnFFfW++SkAaNTiOgAA4plT549LO3lqgJBYS4dKTRV6t3geW+01Cnl/Aq2CgLY8pJmM3fJUuKOoKgcyfzQe9Q6NBVoHyhNTMzBLFSOlUonExETMnz/fpOe1bdsWKpUKBQUFkvaCgoKbrt8pLy/HqlWrMHHixJv+nE6dOqFt27Y4efJkvY+7urrCy8tLciP7oFIqMGuUuEi27ux1zf1Zo8LERZBFuUB2nZoXzm42ecqxXXNyEWswKev8Pzm6wfiYEiLc4lS4o9DrxCn/uv92/CMB/z6yhNRczFbGMTs7G9XV1TfvWIuLiwv69u2L5OQbJ2vr9XokJycjJiam0ef+8MMPqKysxKOPPnrTn3PmzBlcvHgRfn4OPr/roOLD/bD40T7QqKXTYRq12415/8oy4PBaQNDf6FBT88JOh39tmocPEHKntO1ahViwUq+v/znksEyeCnckJ38DivKkbeoO4kirnS16rsvkr7W1p4oAQBAEaLVabNq0CQkJCSYHkJiYiISEBPTr1w9RUVFYsGABysvLDbvCJkyYgPbt22POnDmS53311VcYO3as0cLmsrIyzJ49G//4xz+g0WiQnZ2NV199FSEhIYiLizM5PrIP8eF+GBGmqX/7q14vLqSte9Bf4ECgTfNO65IJ/PsAl08D54/daCvKA07vEo/RILrO5KlwR3E23bjUh6unOOqtVMkTUzMyOQE6cOCA5L5SqUS7du3wwQcf3HSHWH3GjRuH8+fPY+bMmcjPz0dkZCSSkpIMC6Nzc3OhrHPeyLFjx7Br1y78+uuvRtdTqVT466+/8M0336CoqAj+/v64++678dZbb7EWkINTKRX1z+/n7BCnv2rzDgYCBzdLXHSLFAqg6z3iIuiK4hvtp/eIVbpbB8kWGlmXmqnwSSvSoQAkSZDRVLijKMo1LiaqdBJ3fDnIET8KQeDRynWVlJRArVajuLiY64Hs3fnjQOZP0jY3L6DvE4BLC3liItMUnwUOrJBOX7q0BPpPFP8kuo51gCCu+TmxVaz0rHIC1AHibi8ACBsN+PaQN77bZMrnt8kjQFevXoUgCGjRQvxwOH36NNasWYOwsDDcfffdtxYxkRyuXBIXztamVInDv0x+bIe6PdBpqHQBe1W5WC+o10N2v46Bmq7RqXBHkLUe2PwqUFrr+B8XDyBkBNA3weaTH1OZvAh6zJgxWL58OQCgqKgIUVFR+OCDDzBmzBgsXrzY7AESWYTuGnD4Z7GQXm0hdwFe/vLERLcuIBrw7iRtu3QKyNsnTzxktWqmwsdEtkdM5zaOlfysniBNfgCgqgzIWiOdRnYQJidA6enpGDJkCADgxx9/hEajwenTp7F8+XJ8/PHHZg+QyOwEATi+BSg7L2337WH32z7tlkIBdL/PeO3CqZ3iFBmRI9PrgKRpQL1LwK/b8prYz4GYnABduXIFnp6eAIBff/0VDzzwAJRKJQYMGIDTp0+bPUAis9HrgJw/gD8+EKs9114z0rKteNQFp0tsl0tLoPso6f9D4foOv2sOWN+FqMbpPWLx0MaUnBX7ORCTE6CQkBCsXbsWeXl52LJli2HdT2FhIRcMk/XKWg8sCAe+uQ/Y9hZw8Dtg76fiFmqVM9DjAbs868bhtA4yPrG6ohg49os48kfkiMoKbt7HlH52wuQEaObMmXj55ZcRFBSE6OhoQ8HCX3/9Fb179zZ7gES3rWbuu+43oJq5b+eWQEsHLH9vrwIHA63qHGVz/hhwLr3+/kT2zqWJ29o9fG/ex46YnAD985//RG5uLvbv34+kpCRD+1133WXyURhEFteUue+UTxxu7tuuKZViBW9nd2n7yW3igY9Ejqaq9CZJkALwam88emrnbukoDI1Gg969e0sKFEZFRaFbt25mC4zILDj37ZjcvIBu90nb9NXieqC6O/+I7NmFE8CFk+JW93pdXzMXP9chqj/XZrazwIisEue+HVfbEKBDf2nblYvACeMK8kR2qbrqRrXndl2BsPsB1zprdb38gYeWi0UQHQyPuCb71tQ5bQeb+3YYnYYBxXnicRk18g8BrQMBTU/ZwiJqFqd3S+v7tOsKDH4JqCwRv/R5+IrTXg428lODCRDZt3ZdxcP9Kksb6KAQvwE52Ny3w1A5AWFjgLSvpVNfx7cAnv5c/E72q+w8kJcqbWvVEfDrxXIf13EKjOyXIIjDv51jG+jguHPfDqWFN9BlpPjfgh4oOg1oD4r1oHTX5I2NyBIEATieJK11plQBXeKY/NTCESCyXwWHxROPa+a+T24Vt77X8PIXkx8HnPt2OL5hwF+rgT+/kP4d+Ot74L75/DtA9iX/L6D4jLQtIFos+EoGTIDIPl27CmQn37jfrivQoR/gEwZcveTwc98OJ2s9sLueMh1XLgCrHwMe+pZJENmHqivSg4EBwL0Vp/nrwQSI7NOpneIbQW1d4oC2ofLEQ/Ix1IJqRNJ0oNu9TIjJ9p3aIX4BrC30brHiPUlwDRDZn5JzgDZD2tY2lMmPo2ItKHIURXni+rba2nUF2nSWJx4rxwSI7Itef33xX63KzyonILShImBk95pa46mEp8aTDdPrxPe+2lTOQEhDm0CICRDZl7NpxscdBA0B3NTyxEPya2qNp/ILlo2DyJLO/Gn8dzh4qFgVnerFBIjsR2Up8Pfv0raWbY2rAZNjCRwo7vhDI9t/XTzF3WHlF5stLCKzuVoE/P2HtM3DB2jfV5ZwbAUTILIfJ38zPuepSxwXtjo6pQqIn3f9TgNJUEhsrdopjRycS2SNTv4G6Kpv3FcogC7x4sHA1CD+dsg+XMwGCo9K2/x6iZVPicJGi+cdeflJ21u0EWtEtesq3i/KFetHEdmK88fFA09r8+8NqNvLE48N4TZ4sn26azcO/Kvh7AZ0Gi5PPGSdwkaLW91P77lxDlKHfsD+pUBFyY1+2cnirhlnd/liJWqK6iqxwGttLi3EtT90UxwBItuXmwJcvSxt6zRcfCMgqk2pAoKHAD3/Kf7p7C7WSKmt6opYR4rI2v39hzR5B4DOd4lfAOmmmACRbbtyCcjdK21Ttwf8IuSJh2xPfTWitBlAMbfFkxUrKwTO7Je2tQ4EfHvIE48NYgJEtksQxFO99bobbQqluPiPB/6RKUJHiPWiatQsiNbrG34OkVwaOuw0lIedmoIJENmuwizg8t/Stg79xO2fRKZwU4v1omorKxTrShFZG+1B4xHKjgOAlm3kicdGMQEi23StAjiZLG1z9TT+ECNqqg79jU/LztlpvMaCSE5V5cCpuoedtgY68rBTUzEBItuU87v4RlBb6AjAyUWeeMj2KVXi9GltumvirjAia5G9XfwCWFvdKVxqEiZAZHtKtMC5dGlbmxCgbRd54iH70SpArB9VW+FRsc4UkdwunwbyD0nbfLrzsNNbxASIbEuDh53GcvEfmUen4cbbiE/8Ko4GEclFrxP/Htbm5AKE3CVPPHaACRDZlnMHgNJ8aVvgIHEOnMgcXFoAne+Utl0tEgsoEsklb189h50OE9c+0i2xigRo0aJFCAoKgpubG6Kjo5Gamtpg32XLlkGhUEhubm7Sb2uCIGDmzJnw8/ODu7s7YmNjceLEiQauSDajshTI2SFta9kWCIiWJRyyY5pegLqDtC1vHw9LJXlcvQz8vVva5qkRj7ygWyZ7AvT9998jMTERs2bNQnp6OiIiIhAXF4fCwsIGn+Pl5QWtVmu4nT59WvL4u+++i48//hhLlizBvn370LJlS8TFxaGioqKBK5JNyN5mfNhp6N087JTMT6EQD9JV1HqL1OuAE1t4WCo1L0EQj/rR87BTc5P9t/fhhx/i6aefxhNPPIGwsDAsWbIELVq0wNKlSxt8jkKhgEajMdx8fX0NjwmCgAULFuC///0vxowZg169emH58uU4d+4c1q5d2wyviCziUg5QkCVt04SLlU+JLMHDBwjoL227fJqHpVLzunDceBG+fx/jg33JZLImQFVVVUhLS0NsbKyhTalUIjY2FikpKQ0+r6ysDIGBgQgICMCYMWNw+PCNN6ScnBzk5+dLrqlWqxEdHd3gNSsrK1FSUiK5kRXRVRsv/nN2M16nQWRugYMBNy9pW3YycO2qPPGQY6muND7o2aUlEHyHPPHYGVkToAsXLkCn00lGcADA19cX+fn59T6na9euWLp0KdatW4cVK1ZAr9dj4MCBOHPmDAAYnmfKNefMmQO1Wm24BQQE3O5LI3PK2yue+VVb8FDxjYDIkpxcgJAR0raqK2IdKiJL+/sPce1jbSGxPOzUTGSfAjNVTEwMJkyYgMjISAwdOhQ///wz2rVrh88+++yWrzljxgwUFxcbbnl5eWaMmG7LlUvA6Tojd17+XPxHzaddF+PDUs8dAErOyRMPOYbSfOPDTr2Dxbo/ZBayJkBt27aFSqVCQUGBpL2goAAajaZJ13B2dkbv3r1x8uRJADA8z5Rrurq6wsvLS3IjKyAI4tRXfYv/WPOHmlNILA9LpeZTc9Bz7QX3Sidx0wff+8xG1gTIxcUFffv2RXLyjVLzer0eycnJiImJadI1dDodDh06BD8/cUFYcHAwNBqN5JolJSXYt29fk69JVuL8UXHxc23t+wGevvX3J7IU91bieqDaSguMK5ITmUN9I4yBMUALb3nisVOyHx6SmJiIhIQE9OvXD1FRUViwYAHKy8vxxBNPAAAmTJiA9u3bY86cOQCAN998EwMGDEBISAiKiorw3nvv4fTp03jqqacAiDvEXnzxRbz99tsIDQ1FcHAwXn/9dfj7+2Ps2LFyvUwyVXUlcPI3aZurBxDMw05JJgFRQEGmtBhdzk6gXVcWoyPzqSwDTu2QtrXwBgIGyBKOPZM9ARo3bhzOnz+PmTNnIj8/H5GRkUhKSjIsYs7NzYWyVq2Dy5cv4+mnn0Z+fj5at26Nvn37Ys+ePQgLCzP0efXVV1FeXo5nnnkGRUVFGDx4MJKSkowKJpIVy/ldfCOoLWQE4OQqTzxESpVYG+jA/7vRVl0lJuo97pcvLrIv2dvEL4C1hd7Nw04tQCEIrOpVV0lJCdRqNYqLi7keSA6l+UDaMun8t3cnoNdDnP8m+R3dBGj/krb1eogHUtLtu/w3kPGdtM03DAgbI0s4tsiUz2+b2wVGdq6+w06VTkDoCCY/ZB3qPSx1Kw9LpdujqwaO1z3s1BXozMNOLYUJEFkXbQZQopW2BQ7k4j+yHi4txCSotquXgdyGi7cS3VTePuBKnbPmOg0V1z6SRTABIutR7+K/NjzslKyPXwSgbi9ty93Lw1Lp1ly5BJzeI23z8gP8WO/MkpgAkfWob/FfFy7+IytkqEfFw1LpNjVW74yHnVoUf7tkHS7/bXzIpG8Y0DpIjmiIbs7DB+jQT9p2+TRQmFV/f6L6NFjvrGnFgOnWMQEi+XHxH9mqoCHGh6WeTAauVcgTD9kW1juTFRMgkh8X/5Gtqvew1HKxQCLRzdRb7yyW9c6aCRMgktfVy8aL/zw1XPxHtqNtKNAmRNrGw1LpZkq0wNk0aZt3J6BdN3nicUBMgEg+giDWT+HiP7JlCoVYp4qHpVJTsd6ZVeCnDMnn/DHgYra0rX1fcfsnkS3hYalkCu0BseJ9bax31uy4v5iajU4vIDXnEgpLK+DbQoGo81ulGbhLS3FRKZEt4mGp1BSsd2Y1mABRs0jK1GL2hixoi8XdMXcoDyLTPQfDurRDiM/1D4eQWOMjBohsRYOHpSYDPcbKFhZZEUEATm4V/17UxnpnsuAUGFlcUqYWk1ako6D4CgYos/CIcivuU6agvPIaNh7S4mRhKeAdDPh0lztUotvTqiOg6SltKzwCXDolTzxkXfIPAQVZQNH1elFFp1nvTEZMOcmidHoBszdk4W5lKmY5L4e/4pLhsVLBDTv1EUg+7orge0dAxcV/ZA86DwcunpDWAjr+K9B/IqByli8ukteVS8DujyEc3wxF1Y2t78Kp7VBAAYSNljE4x8QRILKo1JxL6FX6OxY7L4AGlySPeaAC9yr3oayiCqkFMgVIZG4uLXlYKknpdUDymxAyfwCqpHV/hNJ8CKsnAFnrZQrOcTEBIosqLCnHLOflAABlnQEehQIQAIx32o7CkvLmD47IUho6LPXKpfr7k33L3o5rB1cDAlB3nFsJQBAEXN3wipgoUbNhAkQWFXLlEPwVl4ySnxpKBeCvuISQK4eaNzAiS2rosNTjPCzV4Vw6Bf2hH+FcXd5giR+lAnC/mg/d37ubNzYHxwSILKq75xWz9iOyGfUelvo3D0t1JFXlwJGNuHy5aSN/2aeyb96JzIYJEFmUsoknGje1H5FNCRpiXAOIh6U6BkEAjv4CVJWjHE0r71EotLJsTCTBBIgsq0N/wE2Nhgb9BSgAr/ZiFVQie+PkIh5vUFtVuXgIJtm3s2nAxZMAAEWrjigV3KBv4I1QLwDnhDZQBQ1qxgCJCRBZVnYy0OlOKACjJEgQN38C8XPFInJE9qhtlxuHpQp6sfbLgW+Bw2u56NVelRYA2dsMd9u3boHfVQMAwCgJqrn/sfNERHVu11wREpgAkSVp/xJv7boCYfdD4eIheVjh5Q88tJz1L8i+KRRAaKw4GrD3U+Dgd8CR9cAPCcD8Htz+bG9014CsdZLkVqlQwPPuGXju2ovIh/S8r3y0wXPXXsSwsU9C1dBuEbIIFkIkyyg7D5zYcuN+u66Abw/AJwyovgp4+IrTXhz5IUeQ8weQ+aNxe6kWWD2BXwTsycnfgCsXpW0B/XFHyABc8QjEg+sHIaDsIHxQhEK0Qp5HBF5/sCfiw3kIdHNjAkTmV10FZK0FdNXS9m73imXfiRyJXgckTWukgwAkTRf/ffALgW07fww4lyFt8/QFgocBAOLD/TAiTIPUnL4oLK2Aj6cbooK9OfIjEyZAZF6CII781D4RGwD8ezP5Icd0eg9Qcq7xPiVnxX7BQ5onJjK/imLg2C/SNpUT0H2M5KBTlVKBmM5tmjk4qg/XAJF5aQ8C+ZnSNk9f8aR3IkdU1sRzXorzLBsHWY5eDxzZYFzeIPRuoCWTHWvFBIjMp6wQOLFV2ubkAoSNlXwDInIoHr5N63fhpPhBSrYndw9QVCeB9ekOaHrJEw81CRMgMo/qSuDwGkBfZ91P13uBFt71P4fIEQQOBLz8YXwKVC0unuL6n79ZH8jmFJ8B6h5h4aa+fhQK1/ZYMyZAdPsEATi22figx/Z9AZ9u8sREZC2UKiB+3vU7DXwghsSK54adThEX0pJtuFYhljEQao3cKZTijj7nplV/JvkwAaLbd+4AUHhE2uapATrfKU88RNYmbLS41d2rzlZnD1+gxwNimYgaRzcC5XW2UZP1EQTgeJK4+Lm2oEGAuoM8MZFJuDCDbk9pvni2UW1OrkCPsVz3Q1Rb2Ghxq/vpPeLC6JpaWOcOSNfOVVcBmT8BfRPEf0tknfL/Mv7i1yoA6MhjfWyFVYwALVq0CEFBQXBzc0N0dDRSU1Mb7PvFF19gyJAhaN26NVq3bo3Y2Fij/o8//jgUCoXkFh8fb+mX4XiuVVwv51+33s99gHtrWUIismpKlbjVvec/xT+VKnGqWBMu7XflorirSGjoFD2S1ZVLxhs+nN2A7qMApVV8rFITyP5/6vvvv0diYiJmzZqF9PR0REREIC4uDoWFhfX237FjB8aPH4/t27cjJSUFAQEBuPvuu3H27FlJv/j4eGi1WsPtu+++a46X4zgEQax5cfWytD2gP9CuizwxEdkihUJcMOvhI22/cALITZEnJmqYrvp6oddr0vau94iLn8lmKARB3q8Y0dHR6N+/PxYuXAgA0Ov1CAgIwNSpUzF9+vSbPl+n06F169ZYuHAhJkyYAEAcASoqKsLatWtvKaaSkhKo1WoUFxfDy8vrlq5h986kASd+lbZ5+QO9H2U1W6JbcbUISPtaWktGoQB6Pgi06SxbWFTHyWQgr84shX8k0HWkLOGQlCmf37KOAFVVVSEtLQ2xsTeK5CmVSsTGxiIlpWnffK5cuYJr167B21u61XrHjh3w8fFB165dMWnSJFy82PCiwsrKSpSUlEhu1IgSrXjKe23ObkDYGCY/RLfKvZX4b6j21mlBEA9OrTvSSvK4mG2c/LRsy0KvNkrWBOjChQvQ6XTw9ZUWCvP19UV+fn6TrjFt2jT4+/tLkqj4+HgsX74cycnJmDdvHnbu3ImRI0dCp9PVe405c+ZArVYbbgEBAbf+ouzdtQpx+Fdf53fZbZT4Bk5Et867ExA8VNp2rUJcFF13yoWaV2UZcHSTtE2pArqPBlTO8sREt8Wmt+nMnTsXq1atwo4dO+DmdqPmwsMPP2z47549e6JXr17o3LkzduzYgbvuusvoOjNmzEBiYqLhfklJCZOg+ggCcGyTOFRfW8dooG2ILCER2Z2OA8RT4mvXAyo7L6656z6axfXkIAhi8lNVLm3vfKd41A/ZJFlHgNq2bQuVSoWCAulZOQUFBdBoNI0+9/3338fcuXPx66+/olevxsuNd+rUCW3btsXJkyfrfdzV1RVeXl6SG9XjzH7g/HFpm7q98TdWIrp1CoW4Xb5lW2l7QZb4b5Ca35k/gUunpG1tQsQdfGSzZE2AXFxc0LdvXyQn31hPotfrkZycjJiYmAaf9+677+Ktt95CUlIS+vXrd9Ofc+bMGVy8eBF+fn437UsNKD4LZG+Ttjm7i+d8cd0PkXk5uYoFEp1cpO3Z24DLp+WJyVGV5gOndkjbXFoC3e7haJyNk30bfGJiIr744gt88803OHLkCCZNmoTy8nI88cQTAIAJEyZgxowZhv7z5s3D66+/jqVLlyIoKAj5+fnIz89HWVkZAKCsrAyvvPIK9u7di7///hvJyckYM2YMQkJCEBcXJ8trtHnXrorrfoQ6BzV2HwW4cbSMyCJathGnvGoT9OK/xQpu1GgW1VXiURd11zx2v09MgsimyZ4AjRs3Du+//z5mzpyJyMhIZGRkICkpybAwOjc3F1qt1tB/8eLFqKqqwj//+U/4+fkZbu+//z4AQKVS4a+//sLo0aPRpUsXTJw4EX379sUff/wBV1dWVTVZzdx33TfcwBhuzSWytLah4tEKtVVdAQ7/LNajIcs6+ZtYlLK2jtHiYnWyebLXAbJGrANUS+4+46mvVgFAxP+x4ilRcxAE4NAP4hbs2lh7xrIKj4iV7mvz1AB9JnDa34rZTB0gsnJFefXMfbe4Xu+Hf3WImoVCIU431z1e5lyGeI4Ymd/VIuDYZmmbypm1zuwMP8WoflVXgKx10nU/NW/Erp7yxUXkiJzdgfAHjA8YPrFV3KBA5qPXi+ewVVdK20PvBlp41/8csklMgMiYIIhvAJWl0vbAgZz7JpKLhw/Q9V5pm14HHF4jFukj8zi9Gyg+I23zDQM0PeWJhyyGCRAZy00xrnnROhAIHCxPPEQk8g0TDxyurbK0/ursZLqiXDEBqs1NDYTGccu7HWICRFJFuUDO79I2l5bidlyu+yGSX6c7xS8ktRXlAdnb5YnHXly7Ko58194XpFCK636c3Rp+HtksfqLRDVXl19f91H4DUABhowFXD/niIqIblNc/lOvW4DrzJ5CfKU9Mtk4QxEXPdct9BA8Rq92TXWICRKKahX911xIEDQZaB8kSEhE1wKUl0ON+QFlnUfTxzUBpQf3PoYZpD0rPXgOAVh2BgAHyxEPNggkQiXL3AJdypG3ewUDHgfLEQ0SN8/IHutwtbdNVi0USr12VJyZbVH4ROLlV2ubsJu545bS/XeP/XQIu/w38vUva5urBNwAia+cXAfj3lrZdLRKnsvX6ep9CteiqxQXkdatqd72Xx/w4AH66ObrKMvGsG6N1P2N41g2RLQiJFUeDaruUA/z9e/396YZTO4CyQmlb+z5Auy6yhEPNiwmQI9PrgSPrxcXPtQXfIc5/E5H1UzmJRRLrfmE5nWK8roVuuJgtLhyvrWVboPOd8sRDzY4JkCM7vQu4fFra1qYz0DFGnniI6Na4egI9xorbtms7sgEovyBLSFatsgw4ulHapnQSR75VzvLERM2OCZCjunQKOL1H2ubqCXS7jwW/iGxRq45AyF3SNt01IPNn42MdHJkgiMlP1RVpe+c7xWrb5DCYADmiytKGC365tJAvLiK6Pe37AppwaduVi8b/3h2VIIiVnuvueG0bKq79cQA6vYCU7ItYl3EWKdkXodM77t8Lp5t3IXuh0wtIPXUBbodXoa3uAtq3coeyZrSn0zCgVYCs8RHRbVIogC7x4sLe2ot7L5wQR3yDBskXm9zKzgMntohVs2tz9QC63uMQI99JmVrM3pAFbXGFoc1P7YZZo8IQH+4nY2TyYALkIJIytXhr/SGMLF+LvsrjyIYbip01GNrVByFhfYCAKLlDJCJzUDkD4f8A0r4Grt34oMPffwCeGnGdnyOprhRf+5k0QNCLt+I8cfOHiwdwxysOMfKdlKnFpBXpqDvek19cgUkr0rH40T4OlwQxAXIASZlarF25BD87fw1f52JDe6nODZsPReFUt6dxtwN8+yFyGO6txCntv1bfmPoSBLE+ULvuwLVywMMXCBwIKFWyhmoxggAUHgGyk29UuD9/TCx6WFWr4n3ODiB+nnjkj53S6QXM3pBllPwAgABAAWD2hiyMCNNApXSczwImQHZOpxewb82n+NT5Y6PHWqIC/1T9jtc2rMRdPV9zqL/4RHbPuxMQPFSsdQPU/+Hv5W+fH/7lF4ETv4pFXmucPwZkrTHuW6IFVk8AHlpuf7+H61JzLkmmveoSAGiLK5Cacwkxnds0X2Ay4yJoe3a1CCd2rsJL1V9AAaBuflNz//lrXyE1+3yzh0dEFtZxANCu640P/6o6Z/3VfPhnrZcnPnOrrhITvv1fSZMfQW983MWNB8U/kqYDep2FA5RHYWnDyc+t9LMXTIDsUUUJcHwLkPo5WpzaDC/F1QbX9ykVgL/iInR/727eGInI8moWRZ/a1kAHO/nwFwTg/HHgzy/EApB1X0txnnHyJ70AUHLWuDSInfDxdDNrP3vBKTB7UlkK5O4Fzh0wvAG0RNMyeh9FkQUDIyLZnE0DKoob6VDrwz94SLOFZTZXLwMntoqVnevj6gn4hDXtWmUF5ovLikQFe8NP7Yb84op61wEpAGjUbogK9m7u0GTFBMgeVJYBeXuBswcAvfRQv9atvYG8Bp5XS+dODrYzhMhRNPVD/cSv4nSZrRQD1FUDuSnil74673sAxNpmAf2BwMFA3r6mXdPD17wxWgmVUoFZo8IwaUU6FIAkCaqZHJg1Kszh1oEyAbJlVeXiP+yzacanGV+n9A5GpUtrOFdeNloDBAB6AahsoYG7I9cHIbJnTf1QLz8P/PkVoG4vnjDfrrt4zpg1upgtjvpcvVz/4606Al3ixLO9AHG3m5e/uOapoTEQL3+xn52KD/fD4kf7GNUB0rAOENmUqivAmVTgzH6x1H19lCrALxLoOACuPt0hrJ4APQTJoi89AIVCAfdR79nvVlgiR3fTD38ALp6A+noh1OKz4u3kb4Cml5gMtbCSqZGKYjGu88frf9ylpXgciE+YtLChUiXudls9AWhoDCR+rt2/D8aH+2FEmAapOZdQWFoBH09x2svRRn5qKASB9dHrKikpgVqtRnFxMby8vOQO54ZrFdcTnz/F3Q71USgBvwggMAZwU99oz1oPIWkaFCXnDE2CV3so4ufa7dZPIroua/31D3+g3iQo7H5x+qshrYPEoyLahMiTJOh1QF6qeIBzfaPdCgXQvh8QNBhwbmQhb9Z6IGkaUOt9EF7txeSH74N2wZTPbyZA9bC6BKi6Ukx68lIbPtRQoQQ0PcXEx711/X30OnGhY1mB/RdBIyKphj7875wJqP0B7cEbBQMb4uohfsHyiwTcmum98fLfwPFfxTPN6qNuD4TGAZ5NnOrj+6BdYwJ0m6wmAaquFNf35O2TlrSvTaEAfHsAgYOsZ5iaiKxTYx/+ep14Zti5A9IaOvVRKMTRIP/eYsFFS1SSrywFTiaL1Zzr4+wOdB4uTtOxkj1dZ8rnN9cAWaPqKuBcuri74drV+vsoFIBPd3GHQ0vHqdxJRLdBqWp4q7tSBfh0E29XLonvQfmH6v/yJQhisnThhHjshn9vcQTapeXtx6jXA2f3i+d31TfVr1CII1CdhopJENEt4ghQPWQbAdJdE7995aaIC50b4tMNCBpyY4cDEZEl6K4B54+K70vFZxvvq1SJ64j8e4sLqm9lVKYoTzyxvayByvSeGnF3l5e/6dcmh8ARIFujqwa0GeLQdFV5w/3adRETH1up00FEtk3lLI7saHoCpQViIlSQWf/uU70OKMgSby3bAv59xOn5xhYl16gqB7K3iyNO9XF2E88184sElDzAgMyDI0D1sNQIkK66Gkf3bcHVy2fh3ro9uvW/C6rzh8XS7ZWlDT+xbai4u8FTY7ZYiIhuSXUlUHBYnCJraKSmhsoJ8Okhjgp5Xa8zU3sdUst2gHOL69NdDWzw8OsFdBpmnuk1kp1OL1h0G77NLYJetGgR3nvvPeTn5yMiIgKffPIJoqKiGuz/ww8/4PXXX8fff/+N0NBQzJs3D/fcc4/hcUEQMGvWLHzxxRcoKirCoEGDsHjxYoSGhjYpHkskQAe2fAP/lNnwxY2dDKVogbIOd8Cvc2T9T2rTWRzx8XK8AlVEZOWE60donDsAFB6tvxpzbV5+4jmFez8FSrU32l08gJARxtvwPdqJu7taBZg/dpJFUqbWqBCjn5kLMZry+S37WOL333+PxMREzJo1C+np6YiIiEBcXBwKCwvr7b9nzx6MHz8eEydOxIEDBzB27FiMHTsWmZmZhj7vvvsuPv74YyxZsgT79u1Dy5YtERcXh4oKeU66PbDlG0TseR7tBOk2Tg/hCjR5SdBmZ0if4B0M9JkA9HqIyQ8RWSeFAlB3ALqPAmImA53vbLgEBwBk7wC2vi5NfgDxkNKsNeKJ9QDg5AKExAJ9n2TyY0eSMrWYtCJdkvwAQH5xBSatSEdSpraBZ1qO7CNA0dHR6N+/PxYuXAgA0Ov1CAgIwNSpUzF9+nSj/uPGjUN5eTk2btxoaBswYAAiIyOxZMkSCIIAf39//Pvf/8bLL78MACguLoavry+WLVuGhx9++KYxmXMESFddjQtvh6KdcKneoygEAShXuKPFkKlQtgkWR3z4j56IbJEgiFvozx0Qd4gJ+uvtenHkp7ET2V08gTGfiMmPq2ezhEvNQ6cXMHjeNqPkp0bNYay7pt1529NhNjMCVFVVhbS0NMTGxhralEolYmNjkZKSUu9zUlJSJP0BIC4uztA/JycH+fn5kj5qtRrR0dENXrOyshIlJSWSm7kc3bcFvqg/+QHEL1EeuIqTQnsg8v+Y/BCR7VIoxBHs8AeAmOfELfeunkBxXuPJDwBUlQIt2jL5sUOpOZcaTH4AsTa5trgCqTmXmi8oyJwAXbhwATqdDr6+0gqevr6+yM/Pr/c5+fn5jfav+dOUa86ZMwdqtdpwCwgwXxJy9fJNto5eV1LRwNEWRES2yNVT3Lwx4DlxIXRTNPXkerIphaVNW37S1H7mIvsaIGswY8YMFBcXG255eXlmu7Z76/Zm7UdEZFOUSsA/sml9m3pyPdkUH88mlEIwoZ+5yJoAtW3bFiqVCgUF0qy/oKAAGk39W741Gk2j/Wv+NOWarq6u8PLyktzMpVt0HArQBvoGVlrpBSAfbdAtOs5sP5OIyKrUnEiPhtZ3KMRzyQIHNmdU1Eyigr3hp3Zr7P8+/NTilvjmJGsC5OLigr59+yI5OdnQptfrkZycjJiYmHqfExMTI+kPAFu3bjX0Dw4OhkajkfQpKSnBvn37GrymJamcnHAuZhYAGCVBNfe1MbOgcmJNSiKyU0oVED/v+p26H4PX78fP5aGkdkqlVGDWqDAADf7fx6xRYWatB9QUsk+BJSYm4osvvsA333yDI0eOYNKkSSgvL8cTTzwBAJgwYQJmzJhh6P/CCy8gKSkJH3zwAY4ePYo33ngD+/fvx5QpUwAACoUCL774It5++22sX78ehw4dwoQJE+Dv74+xY8fK8RLROy4BBwd+jPMK6ZldhYo2ODjwY/SOS5AlLiKiZhM2GnhouXFpDy9/sT1stDxxUbOID/fD4kf7QKOWTnNp1G5Y/Ggfs9UBMoXsww7jxo3D+fPnMXPmTOTn5yMyMhJJSUmGRcy5ublQ1ip9PnDgQKxcuRL//e9/8dprryE0NBRr165FeHi4oc+rr76K8vJyPPPMMygqKsLgwYORlJQEN7fmnV+srXdcAnR3PYLDtStBR8dBw5EfInIUYaOBbvc2fCI92bX4cD+MCNNYtBK0KWSvA2SNZDsMlYiIiG6ZzdQBIiIiIpIDEyAiIiJyOEyAiIiIyOEwASIiIiKHwwSIiIiIHA4TICIiInI4TICIiIjI4TABIiIiIofDBIiIiIgcDs9hqEdNceySkhKZIyEiIqKmqvncbsohF0yA6lFaWgoACAgIkDkSIiIiMlVpaSnUanWjfXgWWD30ej3OnTsHT09PKBTmPaStpKQEAQEByMvL4zljdfB30zj+fhrH30/j+PtpGH83jbOl348gCCgtLYW/v7/kIPX6cASoHkqlEh06dLDoz/Dy8rL6v0hy4e+mcfz9NI6/n8bx99Mw/m4aZyu/n5uN/NTgImgiIiJyOEyAiIiIyOEwAWpmrq6umDVrFlxdXeUOxerwd9M4/n4ax99P4/j7aRh/N42z198PF0ETERGRw+EIEBERETkcJkBERETkcJgAERERkcNhAkREREQOhwlQM1q0aBGCgoLg5uaG6OhopKamyh2SVfj9998xatQo+Pv7Q6FQYO3atXKHZFXmzJmD/v37w9PTEz4+Phg7diyOHTsmd1hWY/HixejVq5ehSFtMTAw2b94sd1hWae7cuVAoFHjxxRflDsUqvPHGG1AoFJJbt27d5A7Lqpw9exaPPvoo2rRpA3d3d/Ts2RP79++XOyyzYALUTL7//nskJiZi1qxZSE9PR0REBOLi4lBYWCh3aLIrLy9HREQEFi1aJHcoVmnnzp2YPHky9u7di61bt+LatWu4++67UV5eLndoVqFDhw6YO3cu0tLSsH//ftx5550YM2YMDh8+LHdoVuXPP//EZ599hl69eskdilXp0aMHtFqt4bZr1y65Q7Ialy9fxqBBg+Ds7IzNmzcjKysLH3zwAVq3bi13aOYhULOIiooSJk+ebLiv0+kEf39/Yc6cOTJGZX0ACGvWrJE7DKtWWFgoABB27twpdyhWq3Xr1sKXX34pdxhWo7S0VAgNDRW2bt0qDB06VHjhhRfkDskqzJo1S4iIiJA7DKs1bdo0YfDgwXKHYTEcAWoGVVVVSEtLQ2xsrKFNqVQiNjYWKSkpMkZGtqi4uBgA4O3tLXMk1ken02HVqlUoLy9HTEyM3OFYjcmTJ+Pee++VvAeR6MSJE/D390enTp3wyCOPIDc3V+6QrMb69evRr18/PPjgg/Dx8UHv3r3xxRdfyB2W2TABagYXLlyATqeDr6+vpN3X1xf5+fkyRUW2SK/X48UXX8SgQYMQHh4udzhW49ChQ/Dw8ICrqyueffZZrFmzBmFhYXKHZRVWrVqF9PR0zJkzR+5QrE50dDSWLVuGpKQkLF68GDk5ORgyZAhKS0vlDs0qnDp1CosXL0ZoaCi2bNmCSZMm4fnnn8c333wjd2hmwdPgiWzI5MmTkZmZyXUKdXTt2hUZGRkoLi7Gjz/+iISEBOzcudPhk6C8vDy88MIL2Lp1K9zc3OQOx+qMHDnS8N+9evVCdHQ0AgMDsXr1akycOFHGyKyDXq9Hv3798M477wAAevfujczMTCxZsgQJCQkyR3f7OALUDNq2bQuVSoWCggJJe0FBATQajUxRka2ZMmUKNm7ciO3bt6NDhw5yh2NVXFxcEBISgr59+2LOnDmIiIjARx99JHdYsktLS0NhYSH69OkDJycnODk5YefOnfj444/h5OQEnU4nd4hWpVWrVujSpQtOnjwpdyhWwc/Pz+hLRPfu3e1mmpAJUDNwcXFB3759kZycbGjT6/VITk7mOgW6KUEQMGXKFKxZswbbtm1DcHCw3CFZPb1ej8rKSrnDkN1dd92FQ4cOISMjw3Dr168fHnnkEWRkZEClUskdolUpKytDdnY2/Pz85A7FKgwaNMio5Mbx48cRGBgoU0TmxSmwZpKYmIiEhAT069cPUVFRWLBgAcrLy/HEE0/IHZrsysrKJN+4cnJykJGRAW9vb3Ts2FHGyKzD5MmTsXLlSqxbtw6enp6GdWNqtRru7u4yRye/GTNmYOTIkejYsSNKS0uxcuVK7NixA1u2bJE7NNl5enoarRVr2bIl2rRpwzVkAF5++WWMGjUKgYGBOHfuHGbNmgWVSoXx48fLHZpVeOmllzBw4EC88847eOihh5CamorPP/8cn3/+udyhmYfc29AcySeffCJ07NhRcHFxEaKiooS9e/fKHZJV2L59uwDA6JaQkCB3aFahvt8NAOHrr7+WOzSr8OSTTwqBgYGCi4uL0K5dO+Guu+4Sfv31V7nDslrcBn/DuHHjBD8/P8HFxUVo3769MG7cOOHkyZNyh2VVNmzYIISHhwuurq5Ct27dhM8//1zukMxGIQiCIFPuRURERCQLrgEiIiIih8MEiIiIiBwOEyAiIiJyOEyAiIiIyOEwASIiIiKHwwSIiIiIHA4TICIiInI4TICIiIjI4TABIiKbFxQUhAULFsgdBhHZECZARERE5HCYABEREZHDYQJERFZv2LBhmDJlCqZMmQK1Wo22bdvi9ddfR+2jDK9cuYInn3wSnp6e6Nixo9GJ1dOmTUOXLl3QokULdOrUCa+//jquXbtmePzgwYMYPnw4PD094eXlhb59+2L//v2Gx3ft2oUhQ4bA3d0dAQEBeP7551FeXm75F09EFsEEiIhswjfffAMnJyekpqbio48+wocffogvv/zS8PgHH3yAfv364cCBA3juuecwadIkHDt2zPC4p6cnli1bhqysLHz00Uf44osvMH/+fMPjjzzyCDp06IA///wTaWlpmD59OpydnQEA2dnZiI+Pxz/+8Q/89ddf+P7777Fr1y5MmTKl+X4BRGRWPA2eiKzesGHDUFhYiMOHD0OhUAAApk+fjvXr1yMrKwtBQUEYMmQIvv32WwCAIAjQaDSYPXs2nn322Xqv+f7772PVqlWGUR4vLy988sknSEhIMOr71FNPQaVS4bPPPjO07dq1C0OHDkV5eTnc3NzM/ZKJyMI4AkRENmHAgAGG5AcAYmJicOLECeh0OgBAr169DI8pFApoNBoUFhYa2r7//nsMGjQIGo0GHh4e+O9//4vc3FzD44mJiXjqqacQGxuLuXPnIjs72/DYwYMHsWzZMnh4eBhucXFx0Ov1yMnJseTLJiILYQJERHahZrqqhkKhgF6vBwCkpKTgkUcewT333IONGzfiwIED+M9//oOqqipD/zfeeAOHDx/Gvffei23btiEsLAxr1qwBAJSVleFf//oXMjIyDLeDBw/ixIkT6Ny5c/O9SCIyGye5AyAiaop9+/ZJ7u/duxehoaFQqVQ3fe6ePXsQGBiI//znP4a206dPG/Xr0qULunTpgpdeegnjx4/H119/jfvvvx99+vRBVlYWQkJCbv+FEJFV4AgQEdmE3NxcJCYm4tixY/juu+/wySef4IUXXmjSc0NDQ5Gbm4tVq1YhOzsbH3/8sWF0BwCuXr2KKVOmYMeOHTh9+jR2796NP//8E927dwcg7iDbs2cPpkyZgoyMDJw4cQLr1q3jImgiG8YRICKyCRMmTMDVq1cRFRUFlUqFF154Ac8880yTnjt69Gi89NJLmDJlCiorK3Hvvffi9ddfxxtvvAEAUKlUuHjxIiZMmICCggK0bdsWDzzwAGbPng1AXF+0c+dO/Oc//8GQIUMgCAI6d+6McePGWerlEpGFcRcYEVm9YcOGITIyksddEJHZcAqMiIiIHA4TICIiInI4nAIjIiIih8MRICIiInI4TICIiIjI4TABIiIiIofDBIiIiIgcDhMgIiIicjhMgIiIiMjhMAEiIiIih8MEiIiIiBzO/wd7QHS6gA+miQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots()\n",
    "\n",
    "ax.plot(phases, sum_rabi, 'o', label= 'Rabi')\n",
    "ax.plot(phases, sum_block, 'o', label= 'Blockade')\n",
    "ax.plot(phases, (1-np.cos(np.sqrt(2)*phases))/2, '-', color = \"C1\", alpha = 0.5, linewidth = 3, label= 'blocked theory')\n",
    "ax.legend()\n",
    "ax.set_xlabel('phase')\n",
    "ax.set_ylabel('sum of spins up')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8184384-1239-4670-aaab-adb48cde349b",
   "metadata": {},
   "source": [
    "We can observe two things:\n",
    "\n",
    "- The blockade almost completely suppressed the existence of both spins being up at the same time. This is due to its energetic cost.\n",
    "- The oscillation frequency is increased by a factor of $\\sqrt{2}$. This is an indication of the coherent, entangled dynamics, which are discussed in detail in the original paper."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6076144e-7f15-4673-8e13-6224d99c85fe",
   "metadata": {},
   "source": [
    "### Controlled entanglement\n",
    "\n",
    "Let us now also visualized in a single circuit how the rydberg Blockade might be used to generate an entangled state. For this we will employ the gate `rydberg_block`, which generates the blockade."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "496e9fd6-5686-4768-91f2-12b568e227fe",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 914.831x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Nwires = 2\n",
    "backend = SpinSimulator()\n",
    "qc_entangle = QuantumCircuit(QuantumRegister(Nwires, \"spin\"))\n",
    "\n",
    "all_modes=range(Nwires)\n",
    "\n",
    "qc_entangle.rlx(np.pi/2, all_modes)\n",
    "qc_entangle.rydberg_block(np.pi, modes=all_modes)\n",
    "qc_entangle.rly(np.pi/2, 0)\n",
    "qc_entangle.rly(np.pi/2, 1)\n",
    "qc_entangle.measure_all()\n",
    "qc_entangle.draw(output='mpl', style='clifford')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a3ed7ceb-ff17-4250-8756-4d0e094345cb",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'1 1': 242, '0 0': 258}\n"
     ]
    }
   ],
   "source": [
    "job_entangle = backend.run(qc_entangle, shots=500)\n",
    "result_entangle = job_entangle.result()\n",
    "print(result_entangle.get_counts())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1191049-488d-406a-81d3-e0c6544cb5a4",
   "metadata": {},
   "source": [
    "As we can see the resulting state is an entangled Bell state, just as we envisionned."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2581e3e-0957-430b-babb-6d3acf6bb985",
   "metadata": {},
   "source": [
    "## Spin structures from Rydberg interactions\n",
    "\n",
    "In this section we will reproduce some parts of the results of the paper by [Bernien et al.](https://arxiv.org/abs/1707.04344), which demonstrates larger spin structures that arise dynamically. We will do this first based on the local spin simulator and then demonstrate how it works in a remote system.\n",
    "\n",
    "Let us start out once more with the reference without Rydberg blockade"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "25b8e4d0-4040-4cd9-84b6-2206f14207b5",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 747.609x535.111 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Nwires = 5\n",
    "backend = SpinSimulator()\n",
    "qc_rabi = QuantumCircuit(QuantumRegister(Nwires, \"spin\"))\n",
    "\n",
    "all_modes=range(Nwires)\n",
    "omega_t = Parameter(\"ω\")\n",
    "\n",
    "qc_rabi.rlx(omega_t, all_modes)\n",
    "\n",
    "qc_rabi.measure_all()\n",
    "qc_rabi.draw(output='mpl', style='clifford')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "39c035f3-0af9-4ed7-9ab9-47c836a96827",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "phases = np.linspace(0, 2*np.pi, 15)\n",
    "\n",
    "rabi_list = [\n",
    "    qc_rabi.assign_parameters(\n",
    "        {omega_t: phase},\n",
    "        inplace=False,\n",
    "    )\n",
    "    for phase in phases\n",
    "]\n",
    "\n",
    "job_rabi = backend.run(rabi_list, shots=500)\n",
    "result_rabi = job_rabi.result()\n",
    "\n",
    "outcomes_rabi = [result_rabi.get_memory(i) for i in range(len(rabi_list))]\n",
    "for i, outcome in enumerate(outcomes_rabi):\n",
    "    for j, run in enumerate(outcome):\n",
    "        outcomes_rabi[i][j] = np.array(run.split(' '), dtype = int)\n",
    "outcomes_rabi = np.array(outcomes_rabi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "0f7d7ac9-94a2-46cc-88ac-70e905aafd49",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'time')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "means_rabi = outcomes_rabi.mean(axis=1)\n",
    "\n",
    "f, ax = plt.subplots()\n",
    "im = ax.pcolormesh(phases, np.arange(Nwires), means_rabi.T)\n",
    "f.colorbar(im, ax=ax)\n",
    "ax.set_ylabel('site')\n",
    "ax.set_xlabel('time')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1320f8b3-732d-47f6-9707-fcec50cf119c",
   "metadata": {},
   "source": [
    "We can see the all sites oscillate accordingly. So let us now implement the Blockade and observe its effect on the arising spin structures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "fe201068-0b51-4219-af9e-cf5c5ee50e50",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1082.05x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Nwires = 7\n",
    "backend = SpinSimulator()\n",
    "qc_block = QuantumCircuit(QuantumRegister(Nwires, \"spin\"))\n",
    "\n",
    "all_modes=range(Nwires)\n",
    "omega_t = Parameter(\"ω\")\n",
    "phi_t = Parameter(\"φ\")\n",
    "\n",
    "qc_block.rydberg_full(omega=omega_t, delta=0, phi=phi_t, modes=all_modes)\n",
    "\n",
    "qc_block.measure_all()\n",
    "qc_block.draw(output='mpl', style='clifford')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4b9d766c-6965-450a-ac88-721927823432",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "phases = np.linspace(0, 2*np.pi, 15)\n",
    "\n",
    "block_list = [\n",
    "    qc_block.assign_parameters(\n",
    "        {omega_t: phase, phi_t: phase*5},\n",
    "        inplace=False,\n",
    "    )\n",
    "    for phase in phases\n",
    "]\n",
    "\n",
    "job_block = backend.run(block_list, shots=500)\n",
    "result_block = job_block.result()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b6f87375-8123-4e70-8107-05e608b2af56",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "outcomes = [result_block.get_memory(i) for i in range(len(block_list))]\n",
    "for i, outcome in enumerate(outcomes):\n",
    "    for j, run in enumerate(outcome):\n",
    "        outcomes[i][j] = np.array(run.split(' '), dtype = int)\n",
    "outcomes = np.array(outcomes)\n",
    "\n",
    "means_block = outcomes.mean(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "cd4480ef-dad6-4329-a328-d47f1cc6c282",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'time')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots()\n",
    "im = ax.pcolormesh(phases, np.arange(Nwires), means_block.T)\n",
    "f.colorbar(im, ax=ax)\n",
    "ax.set_ylabel('site')\n",
    "ax.set_xlabel('time')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a1a1b5e-054a-4891-a19e-23d37debef7a",
   "metadata": {},
   "source": [
    "The interactions now substantially altered the dynamics:\n",
    "\n",
    "- On the outer sites that first oscillation appears quicker, which is reminiscent of the blockade scenario with two qubits.\n",
    "- On site 1 and 5 the dynamics are strongly suppressed due to the strong interaction with all the neighbors.\n",
    "- An alternating spin structure appears dynamically."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82098edd",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "In this tutorial we have seen how to simulate the dynamics of Rydberg atoms in a quantum circuit. \n",
    "\n",
    "- In a first step, we have generated simple single qubit dynamics from the Hamiltonian. \n",
    "- In a second step, we have demonstrated the Rydberg blockade and its effect on the dynamics. \n",
    "- Third, we have demonstrated how the blockade can be used to generate entanglement. \n",
    "Finally, we have demonstrated how the blockade can be used to generate spin structures more complex spin structures. \n",
    "\n",
    "This is a starting point for the simulation of more complex spin structures, which are the basis for the simulation of [quantum magnetism](https://arxiv.org/abs/2012.12268) or the design of quantum simulators for certain [optimization problems](https://arxiv.org/abs/2202.09372)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "993f6b14-972e-4239-8de6-8efee5f3a74c",
   "metadata": {},
   "source": [
    "## Optional: Working on a cloud simulator\n",
    "\n",
    "We would also like to send such circuits to some cloud services and investigate these results. In this last section, we will present this possibility with the [alqor](https://qlued.alqor.io) provider. \n",
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "<b>Note:</b> To run the cells in this part of the tutorial that interface with a remote device backend, you'll need to have a registered account with a valid username and token for this provider. You can obtain such credentials by visiting the <a href ='https://qlued.alqor.io/accounts/login/'>sign-up page</a></div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "4d8b72ff-d38e-4eea-941c-b142fff6fb29",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit_cold_atom.providers import ColdAtomProvider\n",
    "from pprint import pprint"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c2cb52bb-2d4a-4101-934b-55f48a2308b3",
   "metadata": {},
   "source": [
    "Saving/enabling your backend credentials (Optional if not alreayd done)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "a9c0db6f-ce46-4655-9d5c-ac29db52934f",
   "metadata": {},
   "outputs": [],
   "source": [
    "#provider = ColdAtomProvider.save_account(\n",
    "#    url=[\n",
    "#        \"https://qlued.alqor.io/api/v2/singlequdit\",\n",
    "#        \"https://qlued.alqor.io/api/v2/multiqudit\",\n",
    "#        \"https://qlued.alqor.io/api/v2/fermions\",\n",
    "#        \"https://qlued.alqor.io/api/v2/rydberg\",\n",
    "#    ],\n",
    "#    username=\"name\",\n",
    "#    token=\"token\",\n",
    "#    overwrite=True\n",
    "#)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dfe87bef-3f48-480c-96ec-861301cdf628",
   "metadata": {},
   "source": [
    "We can now load the necessary backend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "8e1e8492-cfe6-4cbc-a101-dd5645fddd27",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['rlx', 'rlz', 'rydberg_block', 'rydberg_full', 'barrier', 'measure']\n"
     ]
    }
   ],
   "source": [
    "provider = ColdAtomProvider.load_account()\n",
    "\n",
    "spin_device_backend = provider.get_backend(\"alqor_rydberg_simulator\")\n",
    "pprint(spin_device_backend.configuration().supported_instructions)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bfc973df-0a6d-45a9-b8db-fbc23b3be768",
   "metadata": {},
   "source": [
    "As you can see from above the simulator backend does provide the necessary gate that we used previously. So we can now simply execute the circuits from above on the cloud hardware:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "cb0aee0c-39b4-4052-af18-85bd867a862a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 747.609x535.111 with 1 Axes>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Nwires = 5\n",
    "\n",
    "qc_rabi = QuantumCircuit(5)\n",
    "\n",
    "all_modes=range(Nwires)\n",
    "omega_t = Parameter(\"ω\")\n",
    "\n",
    "qc_rabi.rlx( omega_t, all_modes)\n",
    "\n",
    "qc_rabi.measure_all()\n",
    "qc_rabi.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c36d1c2-bae1-4cc3-b3db-5913822bcd38",
   "metadata": {},
   "source": [
    "Now that we have created the circuit we can execute it in the same way as in the all the other tutorials."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "1b98725f-570f-41d0-bdb0-9ff3c86790a1",
   "metadata": {},
   "outputs": [],
   "source": [
    "phases = np.linspace(0, 2*np.pi,15)\n",
    "\n",
    "remote_rabi_list = [\n",
    "    qc_rabi.assign_parameters(\n",
    "        {omega_t: phase},\n",
    "        inplace=False,\n",
    "    )\n",
    "    for phase in phases\n",
    "]\n",
    "\n",
    "job_remote_rabi = spin_device_backend.run(remote_rabi_list, shots=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "f820e321-4e05-468e-afa0-d385e407abc5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'20230425_154845-rydberg-fretchen-0a59f'"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job_remote_rabi.job_id()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "63071166-e349-4801-a872-572105080d15",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "job status:  JobStatus.DONE\n"
     ]
    }
   ],
   "source": [
    "job_rabi_retrieved = spin_device_backend.retrieve_job(job_id=job_remote_rabi.job_id())\n",
    "\n",
    "print(\"job status: \", job_rabi_retrieved.status())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "aefc63d7-51b0-4f4e-addd-cc99641cb950",
   "metadata": {},
   "outputs": [],
   "source": [
    "result_remote_rabi = job_rabi_retrieved.result()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "e36609e4-8cd0-4c0d-85a6-c38e08f62371",
   "metadata": {},
   "outputs": [],
   "source": [
    "outcomes = [result_remote_rabi.get_memory(i) for i in range(len(remote_rabi_list))]\n",
    "for i, outcome in enumerate(outcomes):\n",
    "    for j, run in enumerate(outcome):\n",
    "        outcomes[i][j] = np.array(run.split(' '), dtype = int)\n",
    "        \n",
    "outcomes = np.array(outcomes)\n",
    "means_remote_rabi = outcomes.mean(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "abbe64c3-8663-4983-956e-907eef443da6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'time')"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots()\n",
    "im = ax.pcolormesh(phases,np.arange(5), means_remote_rabi.T)\n",
    "f.colorbar(im, ax=ax)\n",
    "\n",
    "ax.set_ylabel('site')\n",
    "ax.set_xlabel('time')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45245ad9-8eac-4029-a906-ed3d818f29e7",
   "metadata": {},
   "source": [
    "### Blockade on a remote system\n",
    "\n",
    "In this last step, we can execute the Ryber blockade on the remote system to observe the appearance of the alternating spin structure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "b1d890f0-96a1-4345-a50e-9fbcae40726e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 914.831x535.111 with 1 Axes>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Nwires = 5\n",
    "qc2 = QuantumCircuit(5)\n",
    "\n",
    "all_modes=range(Nwires)\n",
    "alpha = Parameter(\"α\")\n",
    "beta = Parameter(\"β\")\n",
    "\n",
    "qc2.rydberg_full(omega = alpha, delta =0, phi = beta, modes=all_modes)\n",
    "\n",
    "qc2.measure_all()\n",
    "qc2.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "5326ce50-5c70-49f4-bf8c-a94d5599a573",
   "metadata": {},
   "outputs": [],
   "source": [
    "phases = np.linspace(0, 2*np.pi,15)\n",
    "\n",
    "circuit2_list = [\n",
    "    qc2.assign_parameters(\n",
    "        {alpha: phase, beta: phase*2},\n",
    "        inplace=False,\n",
    "    )\n",
    "    for phase in phases\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "b3d6b94a-d296-43f6-af00-77909fa8a8cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "job2 = spin_device_backend.run(circuit2_list, shots=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "263283fc-8825-4b0b-a88d-506bfcb769b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'20230425_154935-rydberg-fretchen-78a2c'"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job2.job_id()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "68c7c8c8-268b-40ff-b6ad-9bc13a3e9e17",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "job status:  JobStatus.DONE\n"
     ]
    }
   ],
   "source": [
    "job_retrieved2 = spin_device_backend.retrieve_job(job_id=job2.job_id())\n",
    "\n",
    "print(\"job status: \", job_retrieved2.status())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "99ba0e48-e884-412c-a211-0087df98e25b",
   "metadata": {},
   "outputs": [],
   "source": [
    "result2 = job_retrieved2.result()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed8a0595-3302-4a65-9085-fff903c6923f",
   "metadata": {},
   "source": [
    "make this a card of averages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "53b6dee9-a76e-47e2-a917-7a03f0b10515",
   "metadata": {},
   "outputs": [],
   "source": [
    "outcomes = [result2.get_memory(i) for i in range(len(circuit2_list))]\n",
    "for i, outcome in enumerate(outcomes):\n",
    "    for j, run in enumerate(outcome):\n",
    "        outcomes[i][j] = np.array(run.split(' '), dtype = int)\n",
    "outcomes = np.array(outcomes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "e059ebd1-58c9-4229-87ee-52953cdcad2b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(15, 5)"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "means_1 = outcomes.mean(axis=1)\n",
    "means_1.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "5ca37441-0592-4167-8246-0d305dbf4681",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'time')"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots()\n",
    "im = ax.pcolormesh(phases,np.arange(5), means_1.T)\n",
    "f.colorbar(im, ax=ax)\n",
    "\n",
    "ax.set_ylabel('site')\n",
    "ax.set_xlabel('time')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "dc1af2c6-b3cc-43b5-bb50-a35108fd244f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Software</th><th>Version</th></tr><tr><td><code>qiskit</code></td><td>0.45.1</td></tr><tr><td><code>qiskit_nature</code></td><td>0.7.1</td></tr><tr><td><code>qiskit_aer</code></td><td>0.12.0</td></tr><tr><td><code>qiskit_cold_atom</code></td><td>0.1.0</td></tr><tr><td><code>qiskit_algorithms</code></td><td>0.2.1</td></tr><tr><th colspan='2'>System information</th></tr><tr><td>Python version</td><td>3.9.16</td></tr><tr><td>Python compiler</td><td>MSC v.1916 64 bit (AMD64)</td></tr><tr><td>Python build</td><td>main, Jan 11 2023 16:16:36</td></tr><tr><td>OS</td><td>Windows</td></tr><tr><td>CPUs</td><td>8</td></tr><tr><td>Memory (Gb)</td><td>63.724937438964844</td></tr><tr><td colspan='2'>Tue Jan 09 14:52:51 2024 W. Europe Standard Time</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "\n",
    "%qiskit_version_table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c99c8508-d13f-4c57-9b6a-dd0c536f4494",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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