{ "cells": [ { "cell_type": "markdown", "id": "41aab502", "metadata": {}, "source": [ "# Building circuits\n" ] }, { "cell_type": "markdown", "id": "2b5aa27a", "metadata": {}, "source": [ "In this notebook we will explain step by step how to create, plot, record and load quantum circuits in $\\texttt{quimb}$ and $\\texttt{qiskit}$." ] }, { "cell_type": "code", "execution_count": 1, "id": "0c6a3426", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:24.833941Z", "iopub.status.busy": "2026-04-03T03:46:24.833738Z", "iopub.status.idle": "2026-04-03T03:46:38.959651Z", "shell.execute_reply": "2026-04-03T03:46:38.958889Z" } }, "outputs": [], "source": [ "import json\n", "\n", "import numpy as np\n", "import quimb.tensor as qtn\n", "from qiskit import QuantumCircuit\n", "from qiskit.circuit.library import n_local\n", "from qiskit.qasm2 import dumps\n", "from qiskit_quimb import quimb_circuit\n", "\n", "from qpe_toolbox.circuit import (\n", " deserialize_to_qiskit_QuantumCircuit,\n", " deserialize_to_quimb_Circuit,\n", " draw_layered_circuit,\n", " dump_quimb_Circuit_to_qasm,\n", " generate_brickwall_circuit,\n", " generate_rand_circuit,\n", " load_qasm_to_quimb_Circuit,\n", " serialize_from_quimb_Circuit,\n", ")" ] }, { "cell_type": "markdown", "id": "f857f0c6", "metadata": {}, "source": [ "## Using $\\texttt{quimb}$" ] }, { "cell_type": "markdown", "id": "25bd92e7", "metadata": {}, "source": [ "### Create custom circuits" ] }, { "cell_type": "markdown", "id": "0c98e9f1", "metadata": {}, "source": [ "In the first place we need to know how wide our circuit is, i.e. specify the number of qubits on which the protocol will be executed. Once we know this, we can call the class `Circuit` to generate an empty instance. Once we have our empty instance, we will start appending the gates of interest, according to the quantum algorithm that we aim to execute. $\\texttt{quimb}$ includes a list of constant and parametrizable one- and two-qubit gates that can be used for gate-by-gate construction. For example:" ] }, { "cell_type": "code", "execution_count": 2, "id": "f1e63eb7", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:38.961915Z", "iopub.status.busy": "2026-04-03T03:46:38.961606Z", "iopub.status.idle": "2026-04-03T03:46:42.229725Z", "shell.execute_reply": "2026-04-03T03:46:42.229002Z" } }, "outputs": [], "source": [ "rng = np.random.default_rng(42)\n", "n_qubits = 5 # total number of qubits\n", "circ = qtn.Circuit(n_qubits) # instantiate the class, get an empty circuit\n", "\n", "# Hadamard on the 2nd qubit and 0th layer\n", "circ.apply_gate(gate_id=\"h\", qubits=[1], gate_round=0)\n", "\n", "circ.apply_gate(gate_id=\"h\", qubits=[2], gate_round=0)\n", "\n", "# 'Rx' with angle 'pi/6' on the 5th qubit and 0th layer\n", "circ.apply_gate(gate_id=\"rx\", params=[np.pi / 6], qubits=[4], gate_round=0)\n", "\n", "# CNOT from 1st to 2nd qubits in the 1st layer\n", "circ.apply_gate(gate_id=\"cx\", qubits=[0, 1], gate_round=1)\n", "\n", "# 'Rzz' with angle 'pi/5' between 4th to 5th qubits, 1st layer\n", "circ.apply_gate(gate_id=\"rzz\", params=[np.pi / 5], qubits=[3, 4], gate_round=1)\n", "\n", "circ.apply_gate(gate_id=\"cx\", qubits=[3, 4], gate_round=2)\n", "circ.apply_gate(gate_id=\"cx\", qubits=[2, 3], gate_round=3)\n", "circ.apply_gate(gate_id=\"rzz\", params=[-np.pi / 5], qubits=[1, 2], gate_round=4)" ] }, { "cell_type": "markdown", "id": "9cba3f9c", "metadata": {}, "source": [ "When applying each one of the gates, we added further information on the `gate_round`; this information can be used for multiple purposes, like visualization. $\\texttt{quimb}$ includes 'pre-cooked' recipes for well-known circuits like the QAOA Ansatz, such that they do not need to be rebuilt from scratch (see the list [here](https://quimb.readthedocs.io/en/latest/autoapi/quimb/tensor/circuit_gen/index.html#quimb.tensor.circuit_gen.gates_qaoa) ). We also provide some functions with simple brick-wall and random circuits, which are the main focus of our `performance.py` example:" ] }, { "cell_type": "code", "execution_count": 3, "id": "6c05072a", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:42.231765Z", "iopub.status.busy": "2026-04-03T03:46:42.231595Z", "iopub.status.idle": "2026-04-03T03:46:42.262898Z", "shell.execute_reply": "2026-04-03T03:46:42.262205Z" } }, "outputs": [], "source": [ "# Build a circuit with random parameters and two-layer structure;\n", "# one layer is a single-body rotation, and the other is\n", "# an entangling two-body gate\n", "brickwall_circuit = generate_brickwall_circuit(\n", " n_qubits=10,\n", " depth=4,\n", " one_qubit_gate_label=\"rx\",\n", " two_qubit_gate_label=\"cnot\",\n", " rng=rng,\n", ")\n", "\n", "# Same as before, but the entangling layer randomly picks pairs\n", "# of qubits at a maximum distance `ent_range`\n", "random_circuit = generate_rand_circuit(\n", " n_qubits=10,\n", " depth=4,\n", " one_qubit_gate_label=\"rx\",\n", " two_qubit_gate_label=\"cnot\",\n", " two_qubit_gate_range=3,\n", " two_qubit_gate_prob=0.33,\n", " rng=rng,\n", ")" ] }, { "cell_type": "markdown", "id": "ba836152", "metadata": {}, "source": [ "### Plotting circuits" ] }, { "cell_type": "markdown", "id": "b97be5ac", "metadata": {}, "source": [ "$\\texttt{quimb}$ includes visualization tools native from $\\texttt{networkx}$, specialized on graphs. Therefore, if the user is interested on seeing the circuit as a graph, this is the right plotting tool. As a short example, we present how $\\texttt{quimb}$ can automatically manage coloring by labels (gate type), index (qubit position) and round (depth in which the gate was applied) with graph layout:" ] }, { "cell_type": "code", "execution_count": 4, "id": "7b1a0948", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:42.264348Z", "iopub.status.busy": "2026-04-03T03:46:42.264153Z", "iopub.status.idle": "2026-04-03T03:46:43.491395Z", "shell.execute_reply": "2026-04-03T03:46:43.490560Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmEAAACoCAYAAACojTkeAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAUPpJREFUeJzt3Xl83FW5+PHP+c6WtS20ZUek9VoUgrWguFSLuFRZ4hXu1LmjAVSsBqG30bm/e8ffT8Jc5Oaq0dSCRIrKEhnHjihGAauIt9wqbtReIkuhlJ2WrmmzzvY9vz/Od9ppmmWmSWamyfN+vdJJ5/udmTNZJs+c85znUVprhBBCCCFEcVmlHoAQQgghxHQkQZgQQgghRAlIECaEEEIIUQIShAkhhBBClIAEYUIIIYQQJSBBmBBCCCFECUgQJoQQQghRAhKECSGEEEKUgARhQgghhBAl4C71AIQQo6vv6JoDHA9kgFc7G+r2l3hIQgghJoCStkVClJ/6ji4X8BHgauDDgHIOpYC1wC3AI50NdfILLIQQRykJwoQoM/UdXbVAHFiKUrbLW2lZbjdojZ1OkUkOakxQ1g6s6GyoS5d0wEIIIY6IBGFClJH6ji4fsA5Y4q6swV1RhVLqkHO0bZMa6CWTGABYA3xeZsSEEOLoI4n5QpSXa4ElnqpaPJXVhwVgAMqy8FTV4vJVAiwHlhZ5jEIIISaABGFClIn6ji4LuFq53NoJsEaklMJTVQsoG5M3JoQQ4igjQZgQ5eMC4HR3RZUabgZsKKUULl+lBVxU39F18qSPTgghxISSEhVClI83AlhuT943cHk8ZBJYwHzglUkalxCiSNasWeMCvBzcES2OLhpILl++PJPPyRKECVE+vMCweWAjO3Cud8JHI4QoqjVr1pwGzCn1OMT4rVmzZtfy5ctfGOs8CcKEKB87AexMBpflyusG2j7wZmvnJI1JCFEEOQHYK0APZkZFHH0UUAucvGbNGsYKxCQIE6J83AcMZBL9lS7P2BNbWmvSiX4beBZ4bLIHJ4SYHM4S5BzgleXLl28v9XjEuPWtWbMGTCD28mhLk5KYL0SZ6Gyo6wZ+mEkmtJ0Zu/6qnUqgMxkLuFnqhAlxVMu+6+op6SjERMp+L0d9Ry0zYUKUl68DyxL799b6ZhxjWa7hf0UzqSTJ3n3ZWbA7ijg+IcTEyyZ3juvNVH1HlwJmAzVAL7Bb3qCVTPbrPmqSr8yECVFGOhvqtgAXou3exL7ddrJvP3Y6hdYarTWZVJJETzfJnr0aeBFYKg29hZje6ju6ZtV3dP0L8AwmP/Q55/KZ+o6uf6nv6JpVyvGJkUkQJkSZ6Wyo+wNwHrA2kxjIJPbvYXDvDgb37iDZsxc7lejH9I08r7Oh7rnSjlYIUUr1HV1LgZeBNpfXN89bMxNv7Sy8NTNxeX3zgDbgZec8UWZkOVKIMtTZUPcU8M/1HV1NrnTiyoqB3RcNVhyzKeOp3ASs7Wyok9wRIaY5J7C6z/J4lbd6hlJDdlW7vBVK2xmSffsr7VTyvvqOros6G+rWlWa0YjgShAlRxjob6raHwpE7gQpgTWtL86ulHpMQovScJcZ7LI9XeWtmWSPVF1SWC2/NLCvZ223bqeQ99R1dpzibgCadPxA8H/id818NvAr8Bvi3eCy6wznn9Zhc2POBKsyS6up4LHq7c/x6oHmYuz89Hos+75xTB9wKLAJeAv49HoveMwlPacLJcqQQ5S+7uyZZ0lEIIcrJFUCVt3rGiAFYllIKb/UMCxPkXF6MwQ1xJnCy89iLgQ4AfyDoBh7AvMZ9CDgH+CZwXM5tW4ETgZVAv/P5iZhgC38gWIEp7/OSc/vvAzF/IHjWJD+nCSEzYUKUv2wQlijpKIQQZcHZBXmty+tj6BLkSJTlwuX1kUkmVtR3dN1U5F2TO+Kx6C5gmzOzdZc/EKwE3gCcAVwUj0W3Ouduzr1hPBbtBXr9geA+QMdj0aF11C7EBGWfi8ei3cDj/kDwMuAqTOBW1mQmTIjy53MuZSZMCAGmDMV8l7eioP6SlqdCYfrMHjspo8rPACb2cGPKaABcNI77Owd43AnAsh4Gzh3HfRaNzIQJUf5kOVIIkasGgIL6zIKyDpxfC+ye0BHlwR8Ivg74N+Cv8Vi0B+jxB4L/AazyB4L/B5M/dk88Fv15AXc7F9jl3PdG4LPALuf6siczYUKUPy+QbG1plqKLQgjIziDpwl4StH3g/GLvrn7eHwj2Ac9j0io+kT0Qj0WbgdOAGzATQz/2B4IdR/AYSeAFYN+4R1tEMhMmRPnzIbNgQoiDdgPPZpKD8wpZkrRTgxrYCuyZtJEN732YMW+Lx6IDQw/GY9GXgTXAGn8guBT4lT8QbM7JExvNTuDtTq7YOQD+QPAi5/qyJzNhQpSxUDhyLrAUmBsKRy4p9XiEEKXnJNXflEkm0PaIvaEPoe0MmWQCYHUJWhk9F49Ftw4XgA0jm5hfm+d9Pwqc6Q8EZ+Vc917grwWMr2RkJkyI8rYLM1U/A/hticcihCgfdwI3Jvv2V45WJwxAa02yb7+NSYq/q1gDHIs/EDwNuAVT4+txYBZmWfJF4EnnnBpMDtxMQPkDwROcm++Mx6IZ4H5gG3Crk192CbAQ+FTRnsg4yEyYEGWstaX5eUyeww7godKORghRLpyCq5fZqaRO9nbbI82IaTuDU6hVA5cWq1BrnvYAr2BaKz2OCahSwIfjsWg2BSOECbJWYeqcbXM+TgWIx6KDwMVANjH/KiAQj0X/XrRnMQ5KF5jYJ4QorlA4EgBcrS3Nd5d6LEKIibdmzZoq4E3Ak8uXL+8v5LZO66J7gCqX14flqVDKUmhbY6cGtbME2Y8JwH494YMXw8r3eyrLkUKUoU2r1CxMReyPXDaner7GGti06vo64NaFK7U07RZCANDZULeuvqPrFODyTDKxIpNMzM85vBVYDdzZ2VB3VO0anC4kCBOijGxapdzAfwFfACoshT3D22fZGp2xqQP+z6ZV6ufAVQtX6qLX+RFClB9niXF1fUfXTZhCrLWYMhR7SpCELwogQZgQZcIJwH4CfNTngSofeFxYTr6tSmdgIInqT/BR4MxNq9TihSv1jlKOWQhRPpyAazclKMQqjowk5gtRPm4EPlpdATOrwOs+tCC22wW1lTCrGoXpufbTTasKLJkthBCibEgQJkQZ2LRKzQCu8bmh2jd6NxKfB2oqUMC7gXcWaYhCCCEmmARhQpSHTwJVVWMEYFmVppukBq6e1FEJIYSYNJITJkR5+JClsD3u/N4YWRb4PKhEio9M9sCEEEcHJz1hNqa4aS+we+FKqUNVziQIE6I8zLAsRit6fRjLnJtvaw8hxBSVU9LmWiC3RMWzm1apm4A7F67U3SUYmhiDLEcKUR76bE1B71id97d9kzIaIcRRYdMqtRR4GWjzeZg3swpmVZvNPT4P8zDV6F92zhNlRoIwIcrDH20bK5XO72StIZHCBh6Z1FEJIcqWE1jd53VTOWcGalY1qsJrNu9UeM1O6jkzUF43lcB9EoiVH1mOFKI8fB+4vj+Je2Yev5WDSdDmTdR3JntgQojy4yxB3uN1o2ZVH6gneBiXBbOqsbr7sJNp7tm0Sp1SrKVJfyB4B2aZFEzrpKeBr8Vj0VjOOacC7cD7MA3Go8CX4rFoyjn+PHBzPBZtzbnNgev8geD1QDPQFI9FVznHr3SO1/gDwfOB3zk37QW6nGPRAp/L64A1wBJgF9ASj0VvKeQ+hiMzYUKUgYUr9XYgOpg0AdZo0hnoGcAGtgC/KsLwhBDl5wqgakbVyAFYllIwowoL0wD78iKMLdeDwIlAHabHZdQfCF4A4A8EFfBTYCawGAgAy4CvFvgYNvD5Mc45E3g78DPgdn8g+MUCH+MngA94ByboW+0PBMc9syhBmBDl4xpg075+6B2AjH3oQa2hPwF7erA17AfqF67UmVIMVAhROs4uyGt9HjPTlQ+X2VENsKLIRZ4T8Vh0ezwW3RqPRb8K7AUuco6dA5wLfC4ei/4tHos+CNwAfNYfCLoKeIynAI8/EHz/KOfsiMeiT8Zj0W9g8uSu8weClfncuT8QXAS8DbgmHov+bzwW/QEmmGssYIzDkiBMiDKxcKXuwUzJ39+XgF370Xt7YV8/dPfBzn3YPQOg4RngnQtX6idLPGQhRGnMBuZXeCgomHLOn4/pL1lU/kBQ+QPBS4BjgEHn6kVAfzwWfSLn1L8458wr4O418F3yD4oewMy+nZvn+ecA3fFY9PGc6x4u4PYjkpwwIcqIk6tx0aZV6mygcSDluhSY5VKZvcAfgVuABxeu1PYodyOEmNpqIL/Czrlyzq+leP0lP+wPBHsxS3lu4EXgVufYXGDPkPP35Bx7poDHuR0zu3VSHuducy7zOTc7lt3+QLAaeBJoBXY614+LBGFClKGFK/VjQGMoHPkhsLi1pflrpR6TEKJs9MKBMjV5yzm/Z0JHM7qHgeWYvLAbMQn0L070g8Rj0V3+QPBe4LPAC2Ocnv1KFLosm3bue2jgeMRkOVKI8uYDxkjVF0JMM7uBZwdThdUWdM5/lgkMIvLQH49Ft8Rj0f8BvgLc68wogZlNGro0emzOMYDUCPc73PW3YIKwsfLJTnQuXxnjvKydwOx4LJqIx6LviceiPwTm5IzxiEkQJkR58yJBmBAih9OK6KZE6vANPCPJ2JAwYcvqUrUyisei6zFLgdmdiRuBKn8g+Oac096GSd7f6vx/L2ZXZ64ahgkk47HoI5jyER8dYygXYjY3PZrn0B8FZvkDwTNzrnsv8Nc8bz8iWY4UorxJECaEGM6dwI37+6kcrU4YmGXI/f3YmDpcdxVpfCO5Gfi2PxBcjQluHgVu9QeC12Jml74C3BaPRbM7vx8ElvsDwd9j8sk+iclpe3iE+78FU3dsYMj1x/kDwTnAJUAT8OV4LNqfz4DjsehGfyD4F+BmfyD4L5hE/Y9xcJfnEZOZMCHKmwRhQojDOJt4Lkum0d192CPNiGVscAq1auDSMugh+WPMUuLKeCyqgUsxs1J/ANYCcUwglhUBOoA7gE3AUuDCeCw6Ut7X3Tg5c0M8jpm5uhT4dDwW/WaB4/4nzGvxnzFlNFbEY9F1Bd7HYZSWBuuijDiVkM+Kx6K9zv/fiXlX48Ksv185GUmd5SoUjgQB3drS/KNSj0UIMTnWrFlTBbwJeHL58uV5zc5kOa2I7gGqfB5ThkIpM/s1mEI7S5D9mADs1xM9djG8fL+nE74cWd/RdRJmim42phZIF/C7zoY62VIvjkQ3cFE8Fn3FHwgGgf/ETEdPF17Mu0QhhDjMwpV63aZV6hTg8kSKFYkU83MObwVWA3cuXKn3lWaEYjQTFoTVd3QtAv4dM9U3dGfClvqOrpuAWzob6vJsUSymM38gWAf8ALgkHotud65+AvhU6UZVErI7UggxKmeJcfWmVeomzO7CWkwZij2lSsI/WvgDwQeA94xyyh3xWPSayXr8CQnC6ju6/hGzzut2+Sott68SZbnQWmOnEqQTA/N0Jv1t4IP1HV3+zoa6wdHvUUxz8zCF9/ynnb7gtVA4olpbmjXgB6bbdLrkhAkh8uIEXLspXiHWqeAqYLT2RZM6gzjuIKy+o+vdwFrlcrl8tcdYyjo4CaYAy1WFy1dppQf7SQ/0Xoz54/rP431cMaX9EojGY9GtoXDkQ4DPHwjuAd6P2RY8nUgQJoQQkyQei+ZbK2xSTMTuyK+h1GEBWC6lFJ7KatwVVQCB+o6ut03A44qp60rgH/2B4AJgTyIx8D7gNuDj8Vh0ugUkEoQJIcQUNa4grL6j62zg3e6KqhEDsFzuimow7QKuHs/jiinvz8BK4HvbX31hy87XXr1s5qzZd46yJXlKCoUjCgnChBBiyhrvcmQQwO0bbTn1IGVZuLwVKpMc/Of6jq6rOhvqMmPfSkxH8Vj0V/5AsCGRGPwkMLu3p3ulPxD8BPBsPBb9WKnHVyRuzKr+tAnChilRcg5mg4bGJBp/Jh6LPl26EQpRvlRbo8JUJqjB1MrarZvaJTG/jI03CDsBpWxlufKeUVMuN5gdX7OQ5EExRDwWfX3O558ACIUjt2EqHG9sbWmeTon5XucyUdJRlNZTwNvisWjSHwguBf4LswNbCOFQbY2zgCuAa+GQEhXPqrbGm4A7dVN7dwmGJsYw3pywTGHtQ+Fg83KkVEWB/IHg8/5AsGbIdQ/4A8EefyDYWqpxTbbWluYE8Bfg3FA4kt+069Tgcy6nzUxYlj8QrHPahNTm5AEeC1SUcFhClB3V1rgUeBlow+OaR5UPqiugygce1zygDXjZOU+UmfHOhD0L2rLTKSy3J68b2KkUmMabPeN8bGG0Ar/AlHWYyv4IvBN4O7C+xGMpluxM2HQLwnJLlOz0B4LnYdqW1AAfKOnIhCgjTmB1H26XosqrsIbMq3jdCtuG/mQl6cx9qq3xIt3UPu5WO2LijDcIuxO4IZ0YsLx5BGF2Jo2dToK2v995+Vukgv4RGlLI9Lf+QPDUUo9psrW2NPeFwpGNwHmhcOSR1pbmKR2YbN64+Iz6C2a+44VX5i449cRdb968cfG2BYs2TJffmV8C0dNOX3AS8IF4LLoGeKM/ELwMuAbZ2CNEdgnyHtwuRbXPYqQO3pYF1T6LvoRNOnOPams8pVhLk/5A8A7MMimY1klPA1+Lx6KxnHNOxbSmex+m6XYU+FI8Fk05x58Hbo7Hoq05tzlwnT8QvB5oBprisegq5/iVzvEafyB4PvA756a9mC4+N8dj0WiBz+WzQAOmebeOx6I1Y9wkL+NajuxsqHsF+GkmMWDb6dSo52qtSfX3gNac8sKGRCgcOdPZ/SUKMw/TyPTjp52+4LUSj6XY/oBZjnprqQcyGTZvXOzavHFxcPPGxb8Hnjx+9r7b3372lsCJc7t/DWzevHHxys0bF9eWepxFcCVw6cBA3z9h2q4AEI9F78EU7BVCmOCmiirvyAFYllJQ5bWAKuDyIowt14PAiUAdpsdl1B8IXgDgDwQV8FNgJrAYCADLgK8W+Bg28PkxzjkTs5LyM+B2fyD4xQIfowbzBvG7Bd5uVBNRJywE7Er07LUzqQTDNQTXtk2ydx92KomVSf5HVf+uJzAvppeHwpHjJmAM08kvgd/EY9GtwMWhcOSfSj2gYmltae4G/g68KxSOjF0T5SiyeePiKsyLw92WxTtqql0cc4yHY4/xMKPWjdutsrkdf9q8cfFUn/n884yZx8R379pe/8pLW1/1B4KVAP5AcDGmibsQ05qzC/JaPC4OW4IciWWBxwWwwrl9sSTisej2eCy6NR6LfhXYi+kvDWZW6Vzgc/FY9G/xWPRB4Abgs/5AsJDX+KcAjz8QfP8o5+yIx6JPxmPRb2BeS6/LvrbkIx6LtsVj0a9jZtImzLiDsM6GuheA96H1q8mebhL799jpwX4yyUHSiUGSvfsY7N6p7VQCoNl2+65vbWn+EXA3MAP4fCgc+XAoHJGE2/xcycFCppuBsyoqq99Y2iEV1QbMu6a6Ug9komzeuNiFmYK/pKbaxdw5Xqumxo3Pa+H1WlRVuZh9rMeaNdMNcAbw4OaNi48p6aAn0XHHn/y6Y449LqW1fjKdTvmBjf5A8DFgFfDp0o5OiLIwG5iPx11YMGXOn4/Z5FJU/kBQ+QPBS4BjgGzrwkVAfzwWfSLn1L845xSS56wxM1SNeZ7/AObvyLkFPMakmJDekZ0NdU84hVuv1Jn0Nan+ntwvXhKIYZp3/yl7ZWtL8zOhcOQ54B2YVjR1oXDkQeAx4A3AM60tzYflwGxapU4GlmAalPYBjyxcqZ+diOdxlDhQyPSF5za/97TTF6z3erwrUsnBXSUeV1G0tjTvCIUjm4F3h8KR/3V6Sh7t6oGP1lS7qKkZ/ldSKUVFhYtjFGpvd/qNwL8CXy7mIIvhtNMXzAM+B7x86uveEHG+v5ESD0uIcmPykcZahhzq4Pm1FK9E1If9gWAvZre3G3gRuNU5NhezUS/XnpxjzxTwOLdjZrdOyuPcbc5lPudOqgkJwgA6G+r2Am31HV3fxqy9HouJdp/pbKgb+kUGoLWlOQ1sCIUjjwEfBD4KvAsTAd8F/G/23E2r1DuBLwEfY8gM3qZVah2wauFK/auJej7lLFvIFPjCC89t/gSoOtAefyB4ITAvHotO9bpSGypt65qFg7Na1q1ofz9wApACngTWAPctXd14NJVAuVop7Orqsevt+XwuvN6MTib18s0bF0cWLNow1b7X5wDHA7dNkQD7qDW0cG7O9adgZuE/Ho9Ff1mKsQnM92SY9J9RHTy/mNUJHgaWY/LCbsQk0L840Q8Sj0V3+QPBe4HPAmN1V8l+IUqelz5hQVhWZ0OdTYFrpq0tzfuBe0LhSBemo/lZwNWhcOSLrS3NfZtWqatwIudKL1aFFyxlfp4GUzCQ5INas3TTKtW8cKX+j4l+TuViuEKmwM1O7azlmKB3Su+gW7eiXX2Q4z6t0V9UKLfLsrRLuRRAKpM+TaMvBF5Zt6L9k0tXN/53aUc7ts0bF78O+EBVpQuV57vaqkqXSibTs4GLMYmuU4Lzc/w+YFNrS3NJm+qKUV0PPFLqQUxzu4FnSaXn4S1gSTKV1pjNLsNOjEyS/ngsugXY4g8EvwLc6w8Ez4jHon2YHM+hS6PZ/2fzP0fa9Tfc9bcAccxuydGc6FyW/HVmIhLzJ1IfsAN4HLNee+0v/uuMfwdu87hQc2dgzagCrxvcLvC4obYS5s7A8pkKGZFNq9S/lG74pdHa0jwArMVM3144VXedrlvRroCbgeu9Lo97ZmUtsypnqBmVNcyorOHY6plWja8KS1knAr9Zt6K97IsTJpLu0wE8nvy/ZR7PgV/b0yZhSKV0PuDC7KYSZSJbONcfCJ7gDwTfCezCFAcVJeK0IrqJVAbsPN932zakMgCrS9XKKB6LrscsBWZ3Jm4EqvyB4JtzTnsbJnk/uzN6L2ZXZ64ahgkk47HoI5ifz4+OMZQLgf3Ao4WMfzJM+EzYeDjvflsBQuFIlVslPniC97kOl4WeVYOyRvg7pRTMrIK9fehUmpZNq9QdC1fqfUUcesm1tjRvC4UjvwT+EfMCWfIfrklwBXB1hdtLta/qsJkjpRQVHh9el8fqHujB1vZP161of8PS1Y3bhr+7iZXTcLsa86KRvawa5rpqoGrB6W/8h/ee+8TwdziGvgFvbSgcsYbLnTzaOLuk3wb8trWluXes80XRHCice+LJr9+97ZXn78CUEVhVykEJwNTpvJH+ZOWodcLALBv1J21MHa67ijS+kdwMfNsfCK7G/J16FLjVHwheC8wBvgLcFo9Fs72lHwSW+wPB32PyyT6JyWl7eIT7vwVTd2xgyPXH+QPBOcAlmDZ4X47Hov35DtofCJ6ASX15HWD5A8GFzqEncrp6FKysgrBcrS3N/ZtWKQuora4wy4+jUQpqKlB7e6nE1EG5qQjDLCutLc2bQuHIyZjZsO1TaUnHmQULWcqyq31V1mhLd5ZlMaOi2uoe6KnCLG/fcCSP6QRVlYwSRA1z3XDbqgcxhQr7nMvXsv/3eVP/C1yZTuf/xjSdNjHX08+dXAeEQ+HIdsy7y1edj11HU2DmfJ0/jHnH+8cSD0ccKls495Q9u3d8HfhtPBbt9geCpR7XtKeb2rtVW+NlpDP30ZewqfJaw5arMBXzbdIZDVxaBj0kf4yZbFkZj0Uj/kDwUkzQ9AfMa+XdmEAsK4LJ3boDs1TZBVwYj0VHyvu6G/gGh78WP455De4CPh2PRe8ucNyf59Blzr85l6cDzxd4Xweo4ep6lYtNq9TPlKJ+7gysfNJltIbdPdgZm00LV+pzJn+E5cepn/UpTPmPW1tbmvtKPKQJsW5F+3uAh6u9lVR686tm0t2/X6ftzHbgdUtXN6adr00VY8xO5VxWcviSvca8w8oGVGNd9re2NGcYxeaNi/9gWZw3d4531OAya293ikTC7rl//aK3v7Jj9jGY/IaTMNvWFSZXYjsHg7JtlHFgFgpH3gR8HIi2tjQ/XerxCMNJzP+0Uur2ucef3Lln92snpVOps4EM5mduP3BZPBb9cynHORWsWbOmCngT8OTy5cvznp2BA62L7gGq8LhMGQrlJE2n0tpZguzHBGC/nvDBi2Hl+z0t25kwx8luK78ADMxsmMeFlbGZ6sUsR9Ta0pwJhSNrMdv8/ykUjnSU6x/fAr0HwOf2jnXeAT63V6WTAydu9HVf95twpJ/hmz9nODRo6iVnpmqYy8FJ+Hp+x7Z5Z/+ATXXV6PUJk0mbRMIG+EFT0+qnco+FwhEf5o9jNih7A3CeczgVCkeys2XZy93F/NnYvHHxQsxmglmYQHbjo4/Pux/mfwjYQmHb0UURnHjSaZnBwf7/2bXj1SW2bb8lHotqONCO5icSgJWebmpfp9oaTwEuJ5VZQSozP+fwVmA1cKduap9WKTpHi3IPwgqepnNuMBWCjiPW2tK8PxSOxDHLsu/HJKmfzsGdpz5M8uJPgc5yLufgLFVVv1fNPsmn899BCBw4t9Z2b99N8jGGD6wSZVAKIQ4s7+lJv1cBlZXWsM8zmbTZ252yMUHU14Yeb21pTmCmxZ/PXucUQT4BE5SdBLwRU5sPIOksZb6a87F7or8emzcuvhCzvPCOoccWvum53TNr+v+26anTP/l/w98o9fdBHEJ5XW730hkzj71r756dVwBfwOTziDLjLDGuVm2NN2GW7GoxZSj2lCoJ/2jhDwQfwHmTP4I74rHoNZP1+OW+HLlWwWVzZxa8HPnnhSv1Oyd/hOUtFI68qzbjvuycwVmLPFhLAGUpK6NA2dpGm6W2bUDz0tWNt5VwnC7MbthjMZWSjxnyufeswRnvOTFTccExVTNx5dmmYyA5SF9yAOAflq5u3DIpg58gTgX8XwLvcruVXVXpsjxehQLSaU3/QEYnk1phNl18aMGiDU8e6WM5gVl2tix7md0WnuTgTFnujNkRvVBs3rh4JdBmWdhVlS6rstKFZZnf1UTCpr8/o1NprTAVrC9dsGjD4Oj3KIohFI68BbPJ5y/AA2XwRmVKG89ypBgffyB4Mib1ZCT74rFowe3Spspy5A80+AeSUOUb++RkGjI2FvD9SR/ZUeD9fXO3a/iUCzWrwuNTlR4fLsvlAtNQPZlO0Z8aPCFjZ9asW9F+6tLVjddN1licpbKhwVX285kczL2ygW7M9uMXMQV791Ro60/ABYl0kqo8c8IS6aTGBC3PTdgTmSQLFm3Yu3nj4vcDV6fT+ur9Pen5Q07ZiylEu2rBog3jatze2tI8iPmaHPi6ODW6cpcyzwCyb2QSzlJmbvL/nrH+MG/euHgZ0Ob1KmbN9FhWzu4apaCy0kVFhaX6+zP09GY+gvm9/cRI9yeKIxSOnIUJwP6GBGBiiovHoiXdwFbuM2EWsMVSnDa7Fmu0CRCtYU8vOpF2pX6x+wv/3Js59n7nj820tG5FuxfT7Hr+zMpay+MaPt7WWtOT6COZTgF8cunqxkJ3jAAHlg1rGDnQqs45PYEJKvYMudwL7BsuT8nZHbnRUtbZx1TNGDOBPZVJs2+gByC8dHXjfx3JcyqVzRsXW5jp8XmYN0rbgN8Uuzp+TmB2Us7HLOdwgkODsm3kBGbOc9jicqnXz57tUWNNZe/vSdPfnwF4y4JFGx6b+Gcj8hEKR84AlmF2kP18iuSTlj2ZCZt68v2elnUQBrBplfoA8Cu3hZpVjTOPcyjbhu5+dCqNejUxP/JQd0MSs6yyDvj7dHwnt25FewD4UY2vigrP6NOIWmu6+/fbGW0/A7xp6erGYb9ezrLhLEYOtDw5p/cwcqDVfyTfk3Ur2v8ZiPrcXmqGqROWlbFt9g302La2ezFLkTsKfSwxvFA4UsXhS5mznMODOIHZB9+16fTXn7zz1hm1bqrG2GwAkMlodu5KAnx3waIN+TbhFRMoFI78A6YG2FPAPRKAFY8EYVPPVFmOZOFK/eCmVcqftvnRrh68Pg+qwsOBvJLBJAym0Jic/Ksv/Lct330oHJmBqTt0GfDWUDhyX2tLc7GalZaLLyilbJ/bO2YClVPk1OpLDixIYn8gFI78neEDrZkc7LWVwSwb7sUkgv+NnGCrtaV5pFYTR2zp6sYfrVvRvjCRTv4fW9tUeirwuNwHgjFbaxLpJP3JAVtrnQTqJQCbWK0tzf3As84HcCAwyw3KzvJ5Uw2Arqgcq8Kf4XIpfD6LRMIOABKEFVkoHJmHKRPyDPBTCcCOTuuXKYUpVVOD2em9e8naMp9pmebKfiYsa9MqdQZwDXAlhy5tJYEfATctXKkPqRLvvLO7EFMz63+ADU7T8Clt3Yr2WmB/pcdHtW9ot4fh2Vqzp6+bna7EHzZV7PuNc3WC4Wey9gD7S/FC7SxLNmEK+NVYyrJdzkJ1KpO2MbllzwANS1c3/qnY4xPGk399z/0ej146d44v79ZoPT1p+sySpHvBog2j1lYTEycUjpyGqUL+AhCbDq+R5Wa8M2Hrl6lZmI4i1wK5+aTPYgqX37lkre4e/0hFvqbMTFjWwpX6KeCaTatUGNPeZAYm0v/bwpV62Fmu1pbmZ0LhyC3AezE5Nmc7s2LPDnf+FDILwFL5twZ1cnbsWtu9DfgeJtAaKLelXGep9FvrVrSvAYK2tgN2xj4BE4xvxiSvPzTSkqooDsvSA1oXVmLGOTnDNC8xU0yhcOQUzGaIl4EfSwB29Fm/TB0o1upzgc9llis0kMgwL5GhDbhx/TJ12ZK1el1JBysOc9TMhI1XKByZiykUeRom6XTdVOtRFwpH3MAJx2Y8bz5n8Jh1Vd4Kqryj7bw9SGvN7r5ugG8vXd24cvJGKaaDzRsX3wh8ec5sL2732CuSWmt27U7p3n737h92nv9/MUUmnwVeksBgcoTCkZMwtQR3AD9sbWk+4v53YnyOdCbMCcDu81qoWi/WcIv/toaeJHbSRgMXSSBWHFNuJmy8Wluad4bCkTuAtwAfAq4NhSO/Bf56NOY/OLsRZwOnACc7HycA1l4rlUlj706kU8dWeSvzyslJZg6kcE3Fxt+i+L4PhPsHMmpG7dgvM6mUJpPRqrev4nZgN/BWYDGm0v8LHAzKdpTb7Gw5cnKDZmDab3UvWasPaWYcCkeOBxowRZvvlgDs6OMsQd7jtVAzvCPX0rQUzPBi7TeB2D3rl6lTirU06XRWuML5bz/wNPC1eCwayznnVEzvyPdhOmlEgS/FY9GUc/x54OZ4LNqac5sD1/kDwesxPR2b4rHoKuf4lc7xGn8geD7wO+emvZhJmJvjsWi0gOdxGvBVZ4yzMeV9VsVj0TX53sdIpk0QBuC8eG8KhSNPYyrJXwgsDIUjv2htad422m1VW+MbMAGPBl7UTe1FrT0VCkdqORhsZT+y2x53Aa9gkuNf0YrX3FiDGTvz9VQmzUjlKXINphJg8r3ikzB8Mc0sWLRh6+aNix/o7898uLLCsjyekZfGbVuzvyetgcG5x/b8Z2tLc7fzJuN4TH7LPOACzJun3lA4kg3Itra2NPdM/rM5eqxfpo7F9I79AqaxcPb6h4BbgJ//Yv71x2BmwLoxM2BFLX0iJswVQFWtd+xGIkpBjRdrzyBVmO/96iKML+tBTMBfBQSBqD8Q3BGPRR/yB4IK07llEPOmazbwQ0ww9m8FPIaNabC9apRzzsT8/b4YuN0fCJ4Qj0W/lef9/wMm5eUKTAD2HuB7/kBwIB6LdhQwzsNMqyAsy9nh9YtQOLIJ8w1ZHgpH/gw8lPuCpNoavYAf84J2SAV+1db4MPAd4Ke6qX1Cl0tC4YgXs8ssN+Ca6RzuxeRvbMAEXq8OVw9t3Yr224Hrewf7KmZW1Vqj5YcNJAdJZdIA7UtXN07b2mpiwl0N/HnP3tScmTPcls93eDumdNpm3760Tpuq+Z9asGhDNxx4w7Td+fh9KBzxAKdyMCg7GyAUjuzg4CzZC9N5Rmf9MnUhsBaodil0NjfI1jCY4XwNF2jU5mMGX1q7t+LUbUDHdK6leDRzZjqv9bnMTFc+XMrkiyUyrFi/TN1UxF2TiXgsut35/Kv+QLAJuAh4CDgHOBc4Mx6LPgHgDwRvAG7wB4Jfjsei+W7QeQqo8AeC74/Hor8d4Zwd8Vh0F/CkPxCcDVznDwTb47HowAjnHxCPRR/EBJNZW/2B4KXApYAEYUeqtaX5pVA4sgbT5Ph9wJtD4civgCe+edz2mcC9wBKUsvG5weUEMmkbkqnFaN4LPKDaGpfppvYjyi8LhSMWcBwHg61TgLmY188kphDm3zEB1yuYXYlj/vIsXd24a92K9mUZbf+8u7/HrvFVWbnlHABs22YgNciAmQX7b8yOQyEmxIJFG17YvHHxe7VmXfe+9GkuF3ZlhcuyXMppW3SgFVMGuHLBog0/Hum+nJInW50PQuFINWamZz4m7+IdQCYUjrzEwaBs29GYanAk1i9THwY6XQpV6wH3kHi3WmMNZqA3pd/4jlc7rtlZNf+cwO1PSD2qo9dsYL5v7BJ8h/BaqESG+ZiSQ0Ut2+TMel2MKXmUDf4XAf3ZAMzxF+eceZid7vnQwHcx5W1GCsJyPYCZaTsXUznhSMwip1TPkZrWQRhAa0tzBvhDKBx5HPgI4B9Q9vOWZrmteCeVXvC6LXJf0TxAhccikYLB1EeAn6i2xkt0U/uotbGcJZaZHBpwnejcowZeA14C/ogJuHaO54/I0tWN961b0X6xre3Y/sHemZaybK/LPBfbtklmUhoT7MWBK5eubpy2swhicixYtGHz5o2LzwT+OZPhmt6+zFtyDu8BbgXWLFi04YVC7re1pbkP8+bk7zn5kfMwQdm7McuXA6Fw5DmcoKy1pXnv+J+RsX6ZOh6zNHEG4AV2Yn6PHil2Xab1y1QN8GOXQs3yDZ+crRRUusGlUPuSyVkn9j3ZiqmjKI5ONXCwaGO+cn42aileEPZhfyDYi0mfcWPa0d3qHJuLeR3ItSfnWL5BGMDtmNmtk/I4N5t+lM+5h/EHgksxq2P/ciS3zzXtg7Cs1pbmfUAsFI4sWF/T858HAjCfZ/gbKAUVXkDBYHIpZpv3HbmnOG1fTuLQ5PlsjbNuTKD1lHO5bTKWUpaubvzVuhXtJwMBW9uNg+nkmZhfhr2YpYv2pasbpU2MmDQLFm3oA763eePi73Owwn4/8MqCRRvG/TPvzAzvcj7+7HR2OJmDS5cXAlYoHNnLwUKzzx3JUpwTfLVh0hTcyuSiaA0uYCXw2Ppl6stL1ur7xvu8ChAEZtR4xl6a8rqgwoUazPCPToL2y0UZoZhovUBhNWAwS9OOYuZSPgwsx0w43IhJoH9xoh8kHovu8geC9wKfxdS8G032K1FoHIs/EHwTcDdwTTwW3VTo7YeSIGyIbx63/WngTCxl43WPXWjL54ZEykbra0LhyIMcmsc12zlrEBNoPYrJ53q1mOUxlq5u7MPsVvs+mIKnUkdLFNuCRRs0B5fVJ40zu/2i8/G7UDhSAbyeg0HZuYAOhSOvcHDp8mXndiNav0ydBqwHXlfhQlW4wWOZxvO2hsE0DGQ4y9b8Yv0y9bkla/Vtk/Uch2i0FHZ2LGOpdMNgBgu4Crh+UkcmJstu4NlEhnk+V/6BhFOmYiuHzz5Npv54LLoF2OIPBL8C3OsPBM+Ix6J9mBnkY4ecn/3/TudypBWm4a6/BTMj3TzGmE50Lgt6LfIHgvMxuWHfnIidkSBB2HDeCSzA54GxtpyAOcfnthhMnbPFO/h/35CseBWTTLwF84L9CjmNjcuBBGBiOnFmvJ5yPgiFI7M4uHR5LqaYczIUjjzPwaBsV+7v7PplqgL4FXDqTC/KOyQXx1JQ5YEKN9b+JDpl8931y9TzS9bq3zCJnATts7zWyCUKhnJbYCkytuasyRybmDxL1mq9fpm6KZGhzdb5JednNCTM24zVpWplFI9F1/sDwW3AF4EbgI1AlT8QfHNOXtjbMCs1W53/78XsrMxVwzCBZDwWfcQfCO4CPjrGUC4E9lNASSanTMVDwPfjsWhLvrcbiwRhh5sHHEzCz4fbBaT4Q3XvX96QrLhLiksKUb5aW5q7MS/+G518shM5GJR9ENN3dr9TCmMrsPUS+BhwRq3HLOmNxKnJpPYMojV8BRhXEObsCq3BpDFkPw783zr9/9Vc9NxX3fkGYFnKLMNUjGdsouTuBG7sSVI5Wp0wMOvlvUlsTOmHu4o0vpHcDHzbHwiuxgRBjwK3+gPBa4E5mN+b23J2Rj4ILPcHgr/HzG5/EpPT9vAI938Lpu7Y0F2Px/kDwTnAJZjWd1+Ox6J5bU7xB4InYwKwh4Bb/IHgCc6hZDwWHdesogRhhzNfk0Jf1YCdnvQ+CcCEOHo4s12vOh8bnKDnNA4GZQsBBl01V1Rlem2fa+wlP8skwVv9ad6zfpk6a8la/ffsMSfoq2CUwGrI594hd68x+XR9QJ9tuXttrP6MbefXJBbzB9nJDSrmkpSYYEvW6u71y9RlSZv79iexa7xYrmH+bGWcAMxZiry0DHpI/hhoBVbGY9GIU+qhHfgDJnXnbkwglhXBvGm4A7NU2QVcGI9FR8r7uhv4BiZPM9fjmN+bLuDT8Vj07gLG/EHMa8I8TP/qrPXA+QXcz2GmTduifKm2xg8B66jygTfPGDWRgoEkwGLd1P77SRyeEKKIQuFIzck9j527aMdPf1flhuoR9ukMlbFhTwJ2Vbw++sjJVz7AoYHV0EAug0m07sv5GOn//UN3TK9fpn4AXDm7ApXPstRgGnpMNs3HlqzV9+b3jMRkGk8D76G9I72W+TmwtckBc5Yg+zEB2K8neuxieNK26Mj9DthBIjUXb15N7yCZ1pjdGI9M9uCEEMXT2tLcu36Zeg3yL4qZe67CnoNJIH6ZkQOrxDhzRm8BPjWQHjtI1Br602jMFv1fjuMxRZlYslavW79MnQJcnsiwwqkDlrUVUx3/ziVr9b7SjFCMRoKwIXRTe0p9q/G7ZOzrSGXAM0Y1vHQGMrYCvqOb2qdFYUghppkjrio/e/DFv7a2NI9YhHYiLFmr/7p+mfpFf5pLnKXQYWltZsAyGvVq9Zt//ugJy9SSyRyYKBpniXH1+mXqJsySXS2mDMWeUiXhHy38geADmDZEI7kjHoteM1mPL0HYEKFwxPcJ9+wXfzJrT3eib3AG1RXWiIFYKg19CRtTUK5Y29GFEMX1KrA3keGYkQKcoZIH344VqwZfEFjXm+JdyQxUuMFrmdRW29kVN5DGzmisPvcx3330hGWvAJ8OhSMxp0aimAKcgGs3Ra6Gf5S7Cqgc5fik/n5IEJYjFI7MAT5+QtozY+FAVeBP1X1r6Bt8HW4Xw7Qt0qRthdnOvlQ3tcsLmRBT0JK1OrF+mfpeyuZfM3Z+G6cHzJLfbuBnkz0+gCVrde/6ZeoDwA1Jm+XJJLWAVmYCLDvircB/XBjd0/FQOHICEMD0zV3b2tJcUMcCIaaKeCw6qXULx1JAHYapLRSOnIGptKuA2/74/1rXYeqVtJLOdNOXgP0D5qM/AWl7D9ACvEM3tcsLmBBT23eBzP4UY+5lGkhDykbtrJz3x1/Mv762KKMDlqzVA0vW6hCm5MZVQLs25QhWAR8A3rhkre4AaG1p3g6sAXYAV4TCkbc5OzeFEEU07XdHOg20z8cUbHwSuLe1pTmRe45qa6zEdH0/BbNF/EXgft3UnkAIMS2sX6Y+C6xxW+haD2poPw1bmwCsPw0Z5f7Lb077UizlqqzE1Ar7SzkVbM5yWjx9CDgPU6/p/rE6B4iJN57dkaI85fs9ndZBmNPb8TJMPaDfAr8vxxdKIUR5WL9MfRrTfNjtttBey7SMcaqRa8xM+v1A4Bfzr09g6gu9DZO28PPWlub9JRr6qELhyFuBizH5bz8uZls1MXFB2OaNi7PN7Gswu293O+3CRJFJEDaGkMmJ+DimcOJPWluany3xkIQQR4H1y9QJmOW+RkxDcoA0pmfdLcDvc3ekhcKR+Zg2Kl5MgNZVjm/2QuHIKZjXRI0JxEqaKzOdjDcI27xx8SzgCuBaOKRExbPATcCdCxZt6B7/SEW+8v2eTsucsFA4Ugd8BrP1/FYJwIQQ+VqyVm9fslZ/FZOeUIMpCVCxZK0OLlmrNwwtCeC8vrRjdlFfCvhD4UjeFe6LpbWl+WVMnth+4FOhcOQtJR6SyMPmjYuXYurQtVX4rHmzZro5ZpaHWTPdVPiseUAb8LJznigz02omzMl/+CDwDuB/gV+2tjSP1KFdCCEmVCgcOROz7JcBOltbmp8u8ZAOEwpH3JgxLsQUoP7N0Cr9YmId6UyYE1jd5/VaauYMt+Uapm9RJqPZtz9tJ5O2Bi5asGjDugkbuBiRLEcOEQpHagA/cCrwK8o0UVYIMbWFwpFaoB74B0wy/K+HbgYqNWen5NuBpcDzQLy1pflAQ2TV1ujBLLF+CJiJqfz/RyCqm9oln6xARxKEOUuQL3u9VuUxs9yWGqXfsdaavd1pO5m0B4BTirU06Q8E78Ask4JpnfQ08LV4LBrLOedUzEzx+zBNt6PAl+KxaMo5/jxwczwWbc25zYHr/IHg9UAz0BSPRVc5x690jtf4A8HzMZ1wwOTJdTnHogU8j9mYnpRnY2a+XwTa47Fo20i3keXIHE6uw3JMwuIdrS3Nf5YATAhRCq0tzT2YPzS/AOqAz4fCkdNKO6pDtbY069aW5j8BHZiSF8tD4chxqq1RqbbGLwIvYXLgPoNSl2H+0N4KbFNtja2qrdFXssFPH1cAVTNnjB6AASilmDnDbQFVwOXFGFyOBzE/Q3WYHpdRfyB4AYA/EFTATzGB/GJM7bplwFcLfAwb+PwY55yJeWPxM+B2fyD4xQLuX2PafF0MLAD+DYj4A8GrChznYaZ8EBYKR84BPoWpentra0vziyUekhBimnOCnEcx9cd6gCtD4cgHnaXAstHa0vwcJk8sqdFXVWWsOPBNXNZxVPlgZpXFzCoXM6ssqn3gdtUAXwLWqbbGsst7myqcXZDXVvgshluCHI7LpajwWQArnNsXSyIei26Px6Jb47HoV4G9mJJPAOcA5wKfi8eif4vHog8CNwCf9QeCY/QMPMRTgMcfCL5/lHN2xGPRJ+Ox6DcweXLX+QPB0SrlHxCPRffEY9Gb47Hoxngs+kI8Fv0ZpvTMBQWMcVhTNggLhSPuUDhSD1wCbMTMgPWUeFhCCHFAa0vzHuAOzGzBOzAzTieUdFBDtLY07wW+/5NZe8/ud9mX4XVDTYXC6zZ9kcBcetxQUwGVXoAlwPdLN+opbzYwv6KikLby4DPnz8csqRWVPxBU/kDwEuAYDvZjXQT0x2PRJ3JO/YtzzrwC7l5j3tA05nn+A5jZt3MLeIwD/IHgOZh+k48eye1zldW7rokSCkdmYqY0j8cUX91U2hEJIcTwnKT334fCkS2Y3ZOfDYUj/42pW1gWCfHfPG67F7gIt2WCrNGWv3weyNiQTAdUW2NEN7U/VbSBTh81YJYZC2EdPL+W4vWX/LA/EOwFfJiY40XM0jXAXGDPkPP35Bx7poDHuR0zu3XSmGfCNucyn3MP8AeCP8L8jnqA/wC+VcjthzPlZsJC4cjpmPyvGuAHEoAJIY4GrS3NrwG3AX/ALHN8KhSOzB7uXNXWaKm2xg+qtsawamu8QbU1hlRb45sncXhBoAafZ/QALKvCk/1srDwdcWR6gbF7aA1hHzy/mKtCD2N22l4A/A9waTwWnfC0oHgsugu4F9N+cCzZL0Shy7JNwFudx/gCZoPNuJT9TJhqa/RiIs+PYKYP+4G/AnfopvYDEbSzm+cdmBIUz2MKsEr7ByHEUaO1pTkN/DYUjjwNfAyTtP9r4K+tLc1atTVamBf/f+HQopwA31BtjeuB/9RN7b+e4KHVo5SNO5/25YBlgduCtP0xYOUEj0WYWaxnBwfteRUVeSaFAYlBW2MauQ+dfZpM/fFYdAuwxR8IfgW41x8InhGPRfuAnRy+NJr9/07ncqQyUsNdfwtmw0jzGGM60bksqCBxPBbdDmwHnnBm3P4T+Hkh9zFU2c6EObtwQpgv0o+AT2Kpi1F8HPgm8Kpqa7xVtTXWhMIRL6b90FLMu8gfSgAmhDhatbY0v4TJcdmESWL+hP+6Lx8LxIDVWOp0Kr0wowpmVkFtpVkGVLwH+JVqa7xmgod0LJay8poFy7IsMLk9YoI5rYhuGkzYZDL5zYZlMprBhA2wulStjOKx6HrMUmB2Z+JGoMofCObO4r4Nk7y/1fn/Xsyuzlw1DBNIxmPRR4BdmPIpo7kQU5R4PDldGaB6HLcHynQmTLU1KsyOnKtwWRqfBzwu8wKgtck3SKR8pDLLlea8bit91yzbXQGsbW1pfmKMuxdCiLLX2tKcBO4LhSObgY8+Ut17P3AePg9UeA4NiFzK5GpVeCz6BjVp+ybV1viabmqPF/q4TjX/ucAc52PuzNmuOfssne2NmR+z9JUMhSNKSgJNijuBG/ftT+dVJ2zf/rSNqcN1V7EGOIKbgW/7A8HVmCDoUeBWfyB4Lebn7SvAbfFYNNtI/kFguT8Q/D0mn+yTmJy2h0e4/1swdccGhlx/nD8QnIPZrNcEfDkei+Y1WeMPBOuB12OWU7sxgeKXMN+DcSnLIAxTg+MqvG6o9KpDXmyUArfLfCTT6P7EW+6Ztfczn9kz932tLc07SjZiIYSYBK0tzVvmfOPadbvd6Va8bpNvNdIfXKWgukLRM6Cx9ddVW+M9uqn9sOR+J31jBgeDrdzL7KyDxsw27PJo1YWd+QdsOzvDNTqtIZ3Rx6Zd3cC/hsKR5zEzG1uBvZMRlG1apeYDp2P+rm0DHlu4cupWI1+waEP35o2LL0sm7fv2dqftPCvmX1oGPSR/DLQCK+OxaMQfCF6KCZr+gNk1eTcmEMuKYIL/OzBLlV3AhfFY9IUR7v9u4BvA0BIXj2OKCncBn47HoncXMOYeTF/V6zG/Hy9henL+ZwH3Mayyq5iv2horgVdxW7Oorhg7CXQgCYkUwLm6qX3c20WFEKLcqLbGbwFN1FZCPmlZiRQMJHFpLl6584Q/kzOrlfO51zk7jVnC2YXJw8le7nFy1FBtjQuAp/B5siUoRpdMQ3+CE1Ke5Z/YO3sLptzAyZgUmG7gOUxA9lxrS/MRV9jftEq5MLlzXwDOH3L4Ccysy10LV+q+I32MYhhPA2+nddE9QFWFz8JXYSlLKWytSQza2lmC7McEYBOdKyhGkO/3tBxnwpYBs/LehePzQCKlgasxTbmFEGKqCeJ25ReAAXjdMJDUx6U9N2J2jIGZZdgJvAb8nYPB1r6xSmHopvbNqq3xNyRSH8DjUrhHqaNp2zCQsIFXt3tStzuB3O9C4YgPOA0TkM3D7DIjFI68hhOQAS/k28Jp0ypVCfwQuFQp7CqvKVUGkM7AQJIzMja3AJ/btEp9ZOFKvW2UuztqLVi0Yd3mjYtPAS4fTNgrBhN27oaNrcBq4M4FizbsK80IxWjKMQi7BEUBu3AUeFyKVOajSBAmhJhinBzZORRSl1MpsJTe60r3Y5ZxdgF941wG/DTwJ3oHT6DSax1SrBWyS5DQn7TRJIBLdVN7OnvYCa6edj6y/XxPxwRkbwbeCdihcORlDgZlL7e2NGcYYtMqZWFaKl1a7YPqitwSWOa9eZUPazAF+/s5G/jNplXq3QtX6ikZiDhLjKs3b1x8E2bJrhazhLanVEn4Rwt/IPgApvDqSO6Ix6ITvdHlgHIMwo5BKVXQLhxz7szJGpAQQpSKbmrXqq0xw+E5LmMatPTu1pbm5ydoHC+rtsZ3A/czkHwTg0kbj9vCcjZMJTM2WluY8gmX6Kb2v4x2f84yZBfQ5eSoHcvBoOw8zPJiMhSOvMDBoOw1J5CsBy6r9kHNCI1nlLNXQYHa18+ZmETq68b9hShjTsC1m+IVYp0KrgJGa180qYF7WQRhOUmiJ1fPtqr6Ct2FYwyOfYoQQhyVtpDOnIHW+ZWJsG2wtUVhFcfHpJvan1dtjWcDF6H5Asn0Bzj4Wr0Jk4P1Y93UXlBekxNYZYOHv4bCEQs4AROQnQ68H/P3qi8Ujjznn1vxpQrXoF1dMXaZpQov9CfRqTSf27RKfXXhSp0sZGxiaovHogXVCptoBQVh/kDweeCseCzam3Pdv2KqIu8H/ikeiz471v2EwpEKTJJm7kcNwPFpz/6troRFxs4v/0FrSKVtTL0RIYSYir6LrVeTsRk1HysrcWAV8LaJHoizxPhz4OeqrdGFee3u103tIxXVLJiTo/aq87HBaWx+KjDveM9z5/qswXeM1T0pV5UXtS/NcZii3+MqrinERBrXTJg/EDwRuAKzA+ASTJXay3PPcX55judgsHUKpvkomNmrVzAB1CvAq1t9iVnA8yRSFlW+sQeRyoDGAr4znucihBBl7C7gvxhIVlJTMXq6hqmjaAPrdVP7k5M5KN3UnmGSl2vgQCeB54DnNq1SSTiYhJ+PnHNfPxHjqe/oqsFUXXcBr3U21O2diPsV088RBWH+QLAO+AFm18X98Vg06Q8EfwGsCoUjczh0husEzA9qBlPu/1lMkbVXgN1DE0VboUe1Nf6MZPpSPC416m+abcNA0sbs9rn3SJ6LEEKUO93Uvk+1NV5Fxo7SO6ip8qnDVgq0hrQN/YM2ZmViqvZttKDwfBVHwXl1WfUdXQp4O2YnfoCDJT50fUfXLzG1rtZ1NtSVrOn6uhXtCjPJUYPpL7l76epGScwvY0cShM3DdCv3K6U+7nJ7dPDyT8WOnXP843t375yhtb5WKaUxu3FeAf7XuXwtW3MmD58HFtKXmEelVqPvwtFJ4B91U7us8wshpizd1P4j1dboJWN/n54BF24XeFzmtdHWkEzZTh7YDuAjuqn96VKPeZJsA/MnwOcZ61Qj7eyvfKb/nNf/MBw5z7n6JExC9o/G2jVa39HlAlYB1wDa5a1Qlts8uJ1Jq0xi8CLQlwD313d0fbyzoe6Ia58diXUr2mdhVqWu5dCeos+uW9F+E3Dn0tWN3cUck8jPkQRhvwSi8Vh0a8OnPnumy+WaO2fuib8BXt6za0fStjMdLpf75daW5iNOlNdN7btUW+NipXlADyQXMpC08boPti1KHbYL589H+lhCCHG00E3td6q2xt8DnyeduYp05sCucK+tdiQtvgbcqZvap+zy2MKV+ulNq9Rf+hOcU+U7tDTFSPoToLUaeKxvSRfgB87FzBZuAN4SCkeea21pHnZZ1ZkBuxn4vMtXgaeyVqkhXQN0Va2VHuwjPdB3IfDz+o6uj3Q21BVlYmDdivYDxVq9bg8+txeFQqNJpJPzkulUG3DjuhXtly1d3biuGGMS+TuSIOxK4BZ/IHi7UtZDoM9m7onffOG5zR7gG21fv2HLRAxMN7Vvbwpf/x9/q+z/8MM1PcfpZPpCzPRvBtNr6jvAWt3ULrsihRDThm5q3wKEVFvjVzA5TtUf2j/jTWcNVh6vUN+eJn0av2Nr7hhIMmbqcCptCvgrpW+74cZv3uYUjb0aOAtIYZo9q1A4spuDrZWeb21pzvYe/BDweZevEk9VLcP1aFRK4amsQSmLVH/PBZgK/m0T9FxH5ARg93lcblXrq1bWkODQ5/Yq27bpSfRVpjLp+9ataL9IArHyciRB2J+BlcD3tLaXAU0vPLfZDVwM/G6iBhYKR2a7UGefO1D9g/++7ut/AlBtjT4gqZvap8OLjBBCjEg3tQ8ATwKEwpF9wCcwtbamQ42oGPD5ngHOUwo1UielZBq6+8jmDX8dTNHYUDjyHeBC4BHMjFi2Ptk8THNmHQpHtgFbrQWXhGyX1/ZU1Y7aJBvA5asknRiwdSb9hfqOrm9PZn6YswR5j8flVjMqakYcm2VZzKiosfYP9tqpTPqedSvaTynW0qQ/ELwDs0wKpnXS08DX4rFoLOecUzH5dO/DNN2OAl+Kx6Ip5/jzwM3xWLQ15zYHrvMHgtdjNgU2xWPRVc7xK53jNf5A8HwOxibZ2nQ3x2PR6BE+p5nAY8DseCxacyT3keuIEvPjseiv/IFgA3AZpmrxUzglKsY7oBxLMBV/D/SD1E3tebWzEEKIaeYlTMPt1zENgrCFK3Vi0yp1MfDA/n7e1p9AV3lRHrdJ2E/bZgkyabKQXwM+uHClPlAPqrWlOcmhm7mecD4IhSMzcQKywYpZS2zL/X6Xr1KNFYCBmRFz+yqtVH/PfEyx2Ycm4vmO4AqgqtZXPebYlFLU+qqtPf37qjAVDFZP4riGehBowDS+DgJRfyC4Ix6LPuQPBBXwU0ylhMWYTQU/xARj/1bAY9iYXPJVo5xzJuZ35GLgdn8geEI8Fv1Wgc8FzCrc8xys8jAuBQVh8Vj09TmffyLn0NcnYjBZoXBkLlAH3F9AMr8QQkxLrS3Ng04PxtOAv5V6PMWwcKXevWmVeh+wIp2hcf8Apw45ZR/wfeCbC1fqV/O9Xyc37G/A3+rvemwXSv0/lyePpuUO6+C5C5ikIMzZBXmt1+1h6BLkiOOyLLxuD8l0asW6Fe03FXHXZCIei253Pv+qPxBsAi7CfG3OweTnnRmPRZ8A8AeCNwA3+APBL8dj0cNaVo3gKaDCHwi+Px6L/naEc3bEY9FdwJP+QHA2cJ0/EGyPx6IDI5x/GH8g+HHgOMzmxHPyvd1oyqJi/jCWYGbWpsWLiRBCTIAXgDeWehDFtHCl7gNaNq1SX8dU1Z+HKUOxHXhg4UpdUOX+wyiVf/R18EbZT47gtnmbDcz3uQt7CJ/Lq5Lp1HxKsGztzHpdDBzDwQ43i4D+bADm+Itzzjzy7/igge8CjcBIQViuBzAzbecC/5PPA/gDwZOBbwDvxcxyToiyC8JC4chxmGnDX8osmBBC5O1F4LxQOFLb2tLcU+rBFNPClToD/HoS7nongLbznZA55NxdkzCerBoAVWC1tJxly1qKF4R92B8I9gI+TMzxInCrc2wusGfI+XtyjhXSdut2zOzWSXmcu825zOfcbAB5B/D1eCz6vD8QLGBYo8tvHrO4zge6MX3IhBBC5OcF5/K0ko5iankM2JJODNha57d6l0n0g8lpum8Sx9ULoClsRTHnORQzSH8YWAhcgJl1ujQei7440Q/iLDXeC3w2j9OzX4h8o9hrMUHkhHfmKasgLBSOnAC8GXi4taU5/7ceQggxzbW2NPdiZjdeV+qxTBXO7sbv6EzaslNjl/2yM2kyyYQGftjZUNc9iUPbDTybSCcLisISmaTGdK0ZOvs0mfrjseiWeCz6P8BXgHv9gWC1c2wnZmk017E5x8CUERnOcNffggnCxuqMcKJzmW/z7guAdwID/kBwENOTtdofCA76A8GP5HkfwyqrIAwzC7YH8+5DCCFEYV5EZsIm2u3As8nefXZmlEDMzqRJ9uy1MbNME7pZbSgnqf6mZDqFbedXBcO2bZLpFMDqUrUyisei6zFLgV90rtoIVPkDwTfnnPY2YC+mXhvO51VD7qqGYQLJeCz6CGYZ+KNjDOVCTN75o2Ocl/UFzGbBhc7HdZiSGwsxM31HrGxywkLhyEnAGcDPZBZMCCGOyAvAwlA4UjGeriXioM6Gun31HV0fAv27ZM/eU11en3L5qsi2LdKZNOnEAJnEgA30ARd1NtRNSNHyMdwJ3NiT6KscrU4YmGXInkSfjVkmvasIYxvNzcC3/YHgakwQ9Chwqz8QvBaYg5ktuy1nZ+SDwHJ/IPh7zJuMT2Jy2kYKfm7B1B0buuvxOH8gOAe4BGgCvhyPRfPauBGPRQ+ZMfMHgtsAHY9Fn8rn9qMp2UxYfUeXVd/RlRsEno+ZYu0qzYiEEOKo9yImz0WWJCdQZ0PdVuA84LZMMjGQ7NnL4N4dDO7dQWL/HjKJgQym3tU7OhvqNhRjTE7B1ctSmbTeP9hrjzQjZts2TqFWDVxaBj0kf4xZSlwZj0U1cClmVuoPwFogjgnEsiKYeqR3YHLFlwIXxmPRFxje3Tg5c0M8DvzVebxPx2PRb473iUwElW+y4USo7+g6DvgMsBwzZa6A3VY68dOTXv5zoqp/55rWlmYJwoQQ4giEwhEFfDFjeR5/9oxL/opZMhnobKiTLiMTpL6jaybwcUyVfRdmee3HnQ11edciG2rNmjVVwJuAJ5cvX15QWY3Deke6vEophdaaRCapnSXIfkwANhk7SMUw8v2eFm05sr6j62pMNVuPcrm1y+NVAHYmPduGz778+veA1q76jq4VnQ11UppCCCEKUN/R5eLNl37Ynez/RNpT+dacQ1vqO7q+A9zZ2VA3ZRt7F0tnQ90+YE2px5G1dHXjunUr2k8BLk+mUyucOmBZWzHV8e9curpx2AblorSKEoTVd3StBNost0d7qmqx3J5DFq/tTIb0QC+Z5GAjMLO+o6thMntuCSHEVFLf0XUi8AvgnLSv2nZ5K1CWC7Qmk0rM05l0G/DV+o6uj3c21E1m6QRRAs4S4+p1K9pvwuwurMVsENhTqiT8o4U/EHwAeM8op9wRj0WvmazHn/QgrL6j663AtyyPV3trZg3b48pyufBUz0BZFunB/iCm2eb3JntsQghxtKvv6JqNSVKe76mqxeWrPCRJ262rLTudItW3v1LbmZ/Xd3Rd0tlQ90DJBiwmjRNw7WYa9A+dQFcBlaMcn9QZxGLMhH0BwFs9Y9Qmo0op3JU1ZJIJW9uZFfUdXd+XPAYhhBjTt4H53ppZyuX1HXZQKYXL48WacayV2L/H1nZmbX1H10mdDXXTqqq+EMMZuvOx2CZ1d2R9R9cs4BMub4VS1li105xArKLSwtTjeNdkjk0IIY529R1dxwMfd/kqhg3AcinLwlM9w8LUWPpkMcYn8lZoBXdR/rLfy1Enkya7RMUZQIXlGf3FIVfOuW8d7TwhhBB8CnC7fUNrWQ7PcntQlsvGWaEQZSNbBba2pKMQEyn7vRy11cJkL0dWwiFNQ8ek1IG4sHq084QQQnA2SmUst2fspQacpUmvz0oP9r+5vqPLkg1Q5WH58uWZNWvW7AJOXrNmDZikeknHOTopTAB2MrBr+fLloxafn+wgrBuOuAN9MXtbCSHE0aiykDe5hsr+4wWkqn6ZWL58+QtOAHZyqcciJsSu5cuXj1RQ9oDJDsIeA15OJwZPdldU5fVKkU4MANjAryZzYEIIMQXs1rattNZ5rzg4b3QHOxvqJAArM04g9jImQJb8sKOTBpJjzYBlTWoQ1tlQl6nv6GrXmdSNmVQSl8c76vnatskkBm2gs7Oh7qXJHJsQQkwBPwM+k0kO4vaNtsve0LZNJjmoMS12RBly/ngP7Xsopqhi9I68DdiV7N1n25mRC+Fr2ybRs1eD1kxyB3ohhJgifgW8lB7s1/m0oEsn+sHMsNwyyeMSQuRh0oOwzoa6ncBH0HZvYt8eO9Xfg505OEunbZv0YD+J/bttbRqMXtnZUPfIZI9LCCGOdp0NdRmgWWfSKtW3j9ECsXRigPRAH8BvMc2ShRAlVrQG3vUdXW8CbgYuAFCWlQHQtm1h3pn9HQh1NtStK8qAhBBiiqjv6IoA1ynLpd0VVcrlq0ApC601djpFerAfO5UAeBT4QGdDXXdJByyEAIoYhGXVd3QtAD4DzMPkpG0D7gZ+LxXyhRDiyNR3dF0OXAfMBzRK2WitMCse/cAPgH/vbKjrK+EwhRA5ih6ECSGEmBz1HV0W8H6gHpiFSfDeBPyws6Fuf+lGJoQYjgRhQgghhBAlUIzdkUIIIYQQYggJwoQQQgghSkCCMCGEEEKIEpAgTAghhBCiBCQIE0IIIYQoAQnChBBCCCFKQIIwIYQQQogSkCBMCCGEEKIEJAgTQgghhCgBCcKEEEIIIUrg/wNt3ZvE11X6WgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Indicate the set of tensors acting on particular qubits\n", "brickwall_circuit.psi.draw(color=[f\"I{i}\" for i in range(brickwall_circuit.N)])\n", "\n", "# Indicate the gate round\n", "depth = max(gate.round for gate in circ.gates) + 1\n", "circ.psi.draw(color=[\"PSI0\"] + [f\"ROUND_{i}\" for i in range(depth)])\n", "\n", "# Indicate different gates\n", "random_circuit.psi.draw(color=[\"PSI0\", \"RX\", \"CX\"], layout=\"kamada_kawai\")" ] }, { "cell_type": "markdown", "id": "78add5ef", "metadata": {}, "source": [ "Nevertheless, to understand the details of large circuits with long-range gates, it is preferable to switch to `matplotlib`, as crossings of tensor legs in the network can be clarified using a fixed layout. To this end, we introduce `draw_layered_circuit`, which targets circuits composed of layers of single- and two-qubit rotations:" ] }, { "cell_type": "code", "execution_count": 5, "id": "65e9847d", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:43.492814Z", "iopub.status.busy": "2026-04-03T03:46:43.492666Z", "iopub.status.idle": "2026-04-03T03:46:43.901618Z", "shell.execute_reply": "2026-04-03T03:46:43.900830Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "depth = max([gate.round for gate in random_circuit.gates]) + 1\n", "fig = draw_layered_circuit(\n", " random_circuit,\n", " list_names=[\n", " r\"$0$\",\n", " [f\"$\\\\mathrm{{R_x^{{({i})}} }}$\" for i in range(1, depth + 1)],\n", " [r\"$\\mathrm{CNOT}$\"] * depth,\n", " ],\n", " max_depth=depth,\n", ")" ] }, { "cell_type": "markdown", "id": "5ab32f97", "metadata": {}, "source": [ "The rationale behind `draw_layered_circuit` is the very same as the `schematic` module of $\\texttt{quimb}$, but we chose to build it ourselves for better picture scaling." ] }, { "cell_type": "markdown", "id": "50b05786", "metadata": {}, "source": [ "### Recording and loading circuits" ] }, { "cell_type": "markdown", "id": "9d3c3fdd", "metadata": {}, "source": [ "We are also interested on saving our circuits for later use. For some applications, researchers prefer to keep a `.qasm` format file with all the information on the circuit; in other cases, like we do in `performance.py`, we require a properly serialized dictionary in `.json` format. Both options can be automatically imported to a `Circuit` instance in $\\texttt{quimb}$.\n", "\n", "In the following we introduce the following functions for each action:\n", "\n", "```\n", "generate `quimb` circuit:\n", " |\n", " --> save it:\n", " | |\n", " | --> .qasm format: `dump_quimb_Circuit_to_qasm`\n", " | |\n", " | --> .json format: `serialize_from_quimb_Circuit`\n", " |\n", " --> load it:\n", " |\n", " --> .qasm format: `load_qasm_to_quimb_Circuit`\n", " |\n", " --> .json format: `deserialize_to_quimb_Circuit`\n", "```" ] }, { "cell_type": "code", "execution_count": 6, "id": "787a58bb", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:43.903198Z", "iopub.status.busy": "2026-04-03T03:46:43.903015Z", "iopub.status.idle": "2026-04-03T03:46:43.907221Z", "shell.execute_reply": "2026-04-03T03:46:43.906541Z" } }, "outputs": [], "source": [ "## Saving as `.qasm`\n", "# Since the information on the rounds is not recorded usually\n", "# on `.qasm`, we added the option of saving that information on a different .txt\n", "dump_quimb_Circuit_to_qasm(\n", " circ=random_circuit, savefile_base=\"example_output_quimb_circuit\", save_rounds=True\n", ")\n", "\n", "## Saving as `.json`\n", "# The circuit needs to be properly serialized,\n", "# so return a dictionary with valid `.json` dtypes\n", "dict_circ = serialize_from_quimb_Circuit(qc=random_circuit)\n", "with open(\"example_output_quimb_circuit.json\", \"w\") as f:\n", " json.dump(dict_circ, f, indent=4)" ] }, { "cell_type": "markdown", "id": "283c9e72", "metadata": {}, "source": [ "Bare in mind that the structure of the dictionary generated by `serialize_from_quimb_Circuit` is the following:\n", "```\n", "{\n", " \"n_qubits\": 10,\n", " \"gates\": [\n", " {\n", " \"name\": \"RX\",\n", " \"qubits\": [\n", " 0\n", " ],\n", " \"params\": [\n", " 1.2157\n", " ],\n", " \"round\": 0\n", " },\n", " ]\n", " ...\n", "}\n", "```" ] }, { "cell_type": "markdown", "id": "8d333649", "metadata": {}, "source": [ "The reverse task of loading a `Circuit` can be easily done with the following functions:" ] }, { "cell_type": "code", "execution_count": 7, "id": "40df5f72", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:43.908548Z", "iopub.status.busy": "2026-04-03T03:46:43.908391Z", "iopub.status.idle": "2026-04-03T03:46:43.923364Z", "shell.execute_reply": "2026-04-03T03:46:43.922466Z" } }, "outputs": [], "source": [ "# Loading from `.qasm`\n", "loaded_quimb_circ = load_qasm_to_quimb_Circuit(\n", " \"example_output_quimb_circuit\", with_rounds=True\n", ")\n", "\n", "# Loading from `.json`\n", "with open(\"example_output_quimb_circuit.json\") as f:\n", " dict_loaded_circ = json.load(f)\n", "loaded_quimb_circ = deserialize_to_quimb_Circuit(dict_loaded_circ)" ] }, { "cell_type": "markdown", "id": "675d0559", "metadata": {}, "source": [ "## Using $\\texttt{qiskit}$\n", "\n", "### Create custom circuits" ] }, { "cell_type": "markdown", "id": "98287980", "metadata": {}, "source": [ "Conversely, $\\texttt{qiskit}$ also allows for gate-by-gate construction. The same small circuit example generated for $\\texttt{quimb}$ is written for $\\texttt{qiskit}$ as:" ] }, { "cell_type": "code", "execution_count": 8, "id": "69553f03", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:43.924705Z", "iopub.status.busy": "2026-04-03T03:46:43.924566Z", "iopub.status.idle": "2026-04-03T03:46:43.928751Z", "shell.execute_reply": "2026-04-03T03:46:43.928133Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(5)\n", "\n", "qc.h(1)\n", "qc.h(2)\n", "qc.rx(np.pi / 6, 4)\n", "qc.cx(0, 1)\n", "qc.rzz(np.pi / 5, 3, 4)\n", "qc.cx(3, 4)\n", "qc.cx(2, 3)\n", "qc.rzz(-np.pi / 5, 1, 2)" ] }, { "cell_type": "markdown", "id": "005fb53b", "metadata": {}, "source": [ "The way to access the list of gates on a circuit instance is slightly different than in $\\texttt{quimb}$" ] }, { "cell_type": "code", "execution_count": 9, "id": "013d40a3", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:43.930088Z", "iopub.status.busy": "2026-04-03T03:46:43.929946Z", "iopub.status.idle": "2026-04-03T03:46:43.932757Z", "shell.execute_reply": "2026-04-03T03:46:43.932065Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "h (,) ()\n", "h (,) ()\n", "rx (,) ()\n", "cx (, ) ()\n", "rzz (, ) ()\n", "cx (, ) ()\n", "cx (, ) ()\n", "rzz (, ) ()\n" ] } ], "source": [ "for ci in qc.data:\n", " print(ci.operation.name, ci.qubits, ci.clbits)" ] }, { "cell_type": "markdown", "id": "350ce01e", "metadata": {}, "source": [ "Sometimes we will be interested on generic circuit Ansatze, and we will only want to bound some values to their parametrized gates. $\\texttt{qiskit}$ includes a list of circuits ready to fill only these values; for example [`n_local`](https://quantum.cloud.ibm.com/docs/en/api/qiskit/qiskit.circuit.library.NLocal):" ] }, { "cell_type": "code", "execution_count": 10, "id": "8010fc61", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:43.934229Z", "iopub.status.busy": "2026-04-03T03:46:43.934055Z", "iopub.status.idle": "2026-04-03T03:46:43.937480Z", "shell.execute_reply": "2026-04-03T03:46:43.936875Z" } }, "outputs": [], "source": [ "# This function allows us to feed any entanglement pattern\n", "# with nearest-neighbour, long-range, all-to-all or custom pairing\n", "\n", "qc_nn = n_local(5, \"ry\", \"cx\", entanglement=\"linear\", reps=2)\n", "\n", "qc_lr = n_local(4, \"ry\", \"cx\", entanglement=[(0, 1), (1, 3), (0, 3), (2, 3)], reps=2)" ] }, { "cell_type": "markdown", "id": "f3799a3a", "metadata": {}, "source": [ "In order to feed the parameters, we only need to pass a list of values and assign them:" ] }, { "cell_type": "code", "execution_count": 11, "id": "7b28f2c7", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:43.938870Z", "iopub.status.busy": "2026-04-03T03:46:43.938728Z", "iopub.status.idle": "2026-04-03T03:46:43.941657Z", "shell.execute_reply": "2026-04-03T03:46:43.940815Z" } }, "outputs": [], "source": [ "param_values = rng.uniform(0, 2 * np.pi, qc_lr.num_parameters)\n", "qc_with_values = qc_lr.assign_parameters(param_values)" ] }, { "cell_type": "markdown", "id": "72e80cc0", "metadata": {}, "source": [ "### Plotting circuits\n", "\n", "The plotting utility for $\\texttt{qiskit}$ is similar to our `draw_layered_circuit` function or to the `schematic` functionality from $\\texttt{quimb}$:" ] }, { "cell_type": "code", "execution_count": 12, "id": "1876ee3c", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:43.942995Z", "iopub.status.busy": "2026-04-03T03:46:43.942855Z", "iopub.status.idle": "2026-04-03T03:46:44.206022Z", "shell.execute_reply": "2026-04-03T03:46:44.205276Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Drawing the circuit with `mpl` output allows for coloring the gates,\n", "# and `fold=-1`` avoids breaking the circuit\n", "qc.draw(output=\"mpl\", initial_state=True, fold=-1)" ] }, { "cell_type": "code", "execution_count": 13, "id": "2a815cd8", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:44.207507Z", "iopub.status.busy": "2026-04-03T03:46:44.207331Z", "iopub.status.idle": "2026-04-03T03:46:44.407080Z", "shell.execute_reply": "2026-04-03T03:46:44.406351Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc_nn.draw(output=\"mpl\", initial_state=True, fold=-1)" ] }, { "cell_type": "code", "execution_count": 14, "id": "8f9916de", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:44.408568Z", "iopub.status.busy": "2026-04-03T03:46:44.408407Z", "iopub.status.idle": "2026-04-03T03:46:44.413778Z", "shell.execute_reply": "2026-04-03T03:46:44.413213Z" } }, "outputs": [ { "data": { "text/html": [ "
         ┌────────────┐                ┌────────────┐                         ┌────────────┐              \n",
       "q_0: |0>─┤ Ry(2.4346) ├──■─────────■───┤ Ry(1.2561) ├───────■──────────────■──┤ Ry(4.4307) ├──────────────\n",
       "         ├────────────┤┌─┴─┐       │  ┌┴────────────┴┐    ┌─┴─┐            │  ├────────────┤              \n",
       "q_1: |0>─┤ Ry(1.8116) ├┤ X ├──■────┼──┤ Ry(0.046259) ├────┤ X ├───────■────┼──┤ Ry(4.9055) ├──────────────\n",
       "         ├────────────┤└───┘  │    │  └──────────────┘┌───┴───┴────┐  │    │  └────────────┘┌────────────┐\n",
       "q_2: |0>─┤ Ry(4.2882) ├───────┼────┼─────────■────────┤ Ry(4.9444) ├──┼────┼────────■───────┤ Ry(2.8835) ├\n",
       "        ┌┴────────────┤     ┌─┴─┐┌─┴─┐     ┌─┴─┐      ├────────────┤┌─┴─┐┌─┴─┐    ┌─┴─┐     ├────────────┤\n",
       "q_3: |0>┤ Ry(0.87809) ├─────┤ X ├┤ X ├─────┤ X ├──────┤ Ry(4.1774) ├┤ X ├┤ X ├────┤ X ├─────┤ Ry(3.5735) ├\n",
       "        └─────────────┘     └───┘└───┘     └───┘      └────────────┘└───┘└───┘    └───┘     └────────────┘
" ], "text/plain": [ " ┌────────────┐ ┌────────────┐ ┌────────────┐ \n", "q_0: |0>─┤ Ry(2.4346) ├──■─────────■───┤ Ry(1.2561) ├───────■──────────────■──┤ Ry(4.4307) ├──────────────\n", " ├────────────┤┌─┴─┐ │ ┌┴────────────┴┐ ┌─┴─┐ │ ├────────────┤ \n", "q_1: |0>─┤ Ry(1.8116) ├┤ X ├──■────┼──┤ Ry(0.046259) ├────┤ X ├───────■────┼──┤ Ry(4.9055) ├──────────────\n", " ├────────────┤└───┘ │ │ └──────────────┘┌───┴───┴────┐ │ │ └────────────┘┌────────────┐\n", "q_2: |0>─┤ Ry(4.2882) ├───────┼────┼─────────■────────┤ Ry(4.9444) ├──┼────┼────────■───────┤ Ry(2.8835) ├\n", " ┌┴────────────┤ ┌─┴─┐┌─┴─┐ ┌─┴─┐ ├────────────┤┌─┴─┐┌─┴─┐ ┌─┴─┐ ├────────────┤\n", "q_3: |0>┤ Ry(0.87809) ├─────┤ X ├┤ X ├─────┤ X ├──────┤ Ry(4.1774) ├┤ X ├┤ X ├────┤ X ├─────┤ Ry(3.5735) ├\n", " └─────────────┘ └───┘└───┘ └───┘ └────────────┘└───┘└───┘ └───┘ └────────────┘" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc_with_values.draw(initial_state=True, fold=-1)" ] }, { "cell_type": "markdown", "id": "c28b9d64", "metadata": {}, "source": [ "### Recording and loading circuits" ] }, { "cell_type": "markdown", "id": "20e4db01", "metadata": {}, "source": [ "A $\\texttt{qiskit}$ circuit can be recorded as a `.qasm` file. However, because the plotting utility stacks gates according to their order of appearance, information about gate rounds is lost. As a result, there is no need to use the `.json` recording format in this case, and we therefore do not provide a `serialize_from_qiskit_QuantumCircuit` function.\n", "To address and visualize a circuit coherently on a layer-by-layer basis, one must therefore rely on the functionalities previously introduced for $\\texttt{quimb}$. Nevertheless, when a circuit is produced by the $\\texttt{quimb}$ pipeline, it can indeed be deserialized from a `.json` file." ] }, { "cell_type": "markdown", "id": "8f5d37d1", "metadata": {}, "source": [ "```\n", "generate `qiskit` circuit:\n", " |\n", " --> save it:\n", " | |\n", " | --> .qasm format: `dumps`\n", " |\n", " --> load it:\n", " |\n", " --> .qasm format: `from_qasm_file`\n", " |\n", " --> .json format: `deserialize_to_qiskit_QuantumCircuit`\n", "```" ] }, { "cell_type": "code", "execution_count": 15, "id": "ef5562f3", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:44.415170Z", "iopub.status.busy": "2026-04-03T03:46:44.415029Z", "iopub.status.idle": "2026-04-03T03:46:44.418506Z", "shell.execute_reply": "2026-04-03T03:46:44.417594Z" } }, "outputs": [], "source": [ "# Save as `.qasm`\n", "# IMPORTANT: only circuits with bounded parameter values can be dumped in `.qasm`\n", "qasm_code = dumps(qc_with_values)\n", "with open(\"example_output_qiskit_circuit.qasm\", \"w\") as f:\n", " f.write(qasm_code)" ] }, { "cell_type": "markdown", "id": "b98d8a5c", "metadata": {}, "source": [ "In $\\texttt{qiskit}$ the `.qasm` files are loaded as:" ] }, { "cell_type": "code", "execution_count": 16, "id": "e4ec017f", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:44.419753Z", "iopub.status.busy": "2026-04-03T03:46:44.419612Z", "iopub.status.idle": "2026-04-03T03:46:44.422698Z", "shell.execute_reply": "2026-04-03T03:46:44.421979Z" } }, "outputs": [], "source": [ "qc = QuantumCircuit.from_qasm_file(\"example_output_quimb_circuit.qasm\")" ] }, { "cell_type": "markdown", "id": "71a9e17f", "metadata": {}, "source": [ "For the sake of completeness, we also introduce a deserialization from `.json` allowing for loading the circuit until a given depth saved in the key `\"round\"` of each `\"gate\"`:" ] }, { "cell_type": "code", "execution_count": 17, "id": "a442e074", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:44.424032Z", "iopub.status.busy": "2026-04-03T03:46:44.423894Z", "iopub.status.idle": "2026-04-03T03:46:44.427055Z", "shell.execute_reply": "2026-04-03T03:46:44.426400Z" } }, "outputs": [], "source": [ "with open(\"example_output_quimb_circuit.json\") as f:\n", " dict_loaded_circ = json.load(f)\n", "qc = deserialize_to_qiskit_QuantumCircuit(dict_loaded_circ)" ] }, { "cell_type": "markdown", "id": "53f4939a", "metadata": {}, "source": [ "Note that whenever some observable needs to be extracted from the $\\texttt{qiskit}$ circuit instance, a (layer) of measurements must be explicitly called. To activate measures, activate the argument `measure=True` in `deserialize_to_qiskit_QuantumCircuit`:" ] }, { "cell_type": "code", "execution_count": 18, "id": "138c3a91", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:44.428581Z", "iopub.status.busy": "2026-04-03T03:46:44.428431Z", "iopub.status.idle": "2026-04-03T03:46:44.752953Z", "shell.execute_reply": "2026-04-03T03:46:44.752257Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = deserialize_to_qiskit_QuantumCircuit(dict_loaded_circ, measure=True)\n", "qc.draw(output=\"mpl\", initial_state=True, fold=-1)" ] }, { "cell_type": "markdown", "id": "8717ef3b", "metadata": {}, "source": [ "The package $\\texttt{qiskit-quimb}$ is a good option for fast transformation from $\\texttt{qiskit}$ `QuantumCircuit` into $\\texttt{quimb}$ `Circuit` classes. Note that the transformation does not include gate round information, so the output $\\texttt{quimb}$ circuit cannot be plotted with `draw_layered_circuit`:" ] }, { "cell_type": "code", "execution_count": 19, "id": "b27770ec", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T03:46:44.754675Z", "iopub.status.busy": "2026-04-03T03:46:44.754527Z", "iopub.status.idle": "2026-04-03T03:46:45.096611Z", "shell.execute_reply": "2026-04-03T03:46:45.095851Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ent_pattern = [(0, 1), (1, 3), (3, 0), (2, 3), (1, 5), (4, 2), (4, 5), (5, 3)]\n", "qiskit_circ = n_local(6, \"h\", \"cz\", entanglement=ent_pattern, reps=2)\n", "quimb_circ = quimb_circuit(qiskit_circ)\n", "quimb_circ.psi.draw(color=[f\"I{i}\" for i in range(quimb_circ.N)])" ] }, { "cell_type": "code", "execution_count": null, "id": "efff9b3a", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.13.12" } }, "nbformat": 4, "nbformat_minor": 5 }