{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "SzKwuqYESWwm" }, "source": [ "##### Copyright 2021 The Cirq Developers" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "cellView": "form", "execution": { "iopub.execute_input": "2024-05-31T11:01:26.762165Z", "iopub.status.busy": "2024-05-31T11:01:26.761730Z", "iopub.status.idle": "2024-05-31T11:01:26.765926Z", "shell.execute_reply": "2024-05-31T11:01:26.765281Z" }, "id": "4yPUsdJxSXFq" }, "outputs": [], "source": [ "#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n", "# you may not use this file except in compliance with the License.\n", "# You may obtain a copy of the License at\n", "#\n", "# https://www.apache.org/licenses/LICENSE-2.0\n", "#\n", "# Unless required by applicable law or agreed to in writing, software\n", "# distributed under the License is distributed on an \"AS IS\" BASIS,\n", "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n", "# See the License for the specific language governing permissions and\n", "# limitations under the License." ] }, { "cell_type": "markdown", "metadata": { "id": "zC1qlUJoSXhm" }, "source": [ "\n", " \n", " \n", " \n", " \n", "
\n", " View on QuantumAI\n", " \n", " Run in Google Colab\n", " \n", " View source on GitHub\n", " \n", " Download notebook\n", "
" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:01:26.769220Z", "iopub.status.busy": "2024-05-31T11:01:26.768738Z", "iopub.status.idle": "2024-05-31T11:01:44.817224Z", "shell.execute_reply": "2024-05-31T11:01:44.815908Z" }, "id": "bd9529db1c0b" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "installing cirq...\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\r\n", "jsonschema 4.22.0 requires attrs>=22.2.0, but you have attrs 21.4.0 which is incompatible.\r\n", "jupyterlab 4.2.1 requires httpx>=0.25.0, but you have httpx 0.23.3 which is incompatible.\r\n", "referencing 0.35.1 requires attrs>=22.2.0, but you have attrs 21.4.0 which is incompatible.\r\n", "tensorflow-metadata 1.15.0 requires protobuf<4.21,>=3.20.3; python_version < \"3.11\", but you have protobuf 4.25.3 which is incompatible.\u001b[0m\u001b[31m\r\n", "\u001b[0m" ] }, { "name": "stdout", "output_type": "stream", "text": [ "installed cirq.\n" ] } ], "source": [ "try:\n", " import cirq\n", "except ImportError:\n", " print(\"installing cirq...\")\n", " !pip install --quiet cirq~=1.0.dev\n", " print(\"installed cirq.\")" ] }, { "cell_type": "markdown", "metadata": { "id": "dd95be2a71eb" }, "source": [ "# Parallel XEB\n", "This notebook demonstrates how to use the functionality in `cirq.experiments` to run parallel XEB end-to-end. \"Parallel\" means we characterize multiple pairs simultaneously." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:01:44.821353Z", "iopub.status.busy": "2024-05-31T11:01:44.821008Z", "iopub.status.idle": "2024-05-31T11:01:46.626167Z", "shell.execute_reply": "2024-05-31T11:01:46.625353Z" }, "id": "046b07823210" }, "outputs": [], "source": [ "import cirq\n", "import numpy as np\n", "\n", "%matplotlib inline\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Parallel XEB with library functions\n", "The entire XEB workflow can be run by calling `cirq.experiments.parallel_two_qubit_xeb` and the combined single-qubit randomized benchmarking (RB) and XEB workflows can be run by calling `cirq.experiments.run_rb_and_xeb`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:01:46.630650Z", "iopub.status.busy": "2024-05-31T11:01:46.630188Z", "iopub.status.idle": "2024-05-31T11:03:06.565652Z", "shell.execute_reply": "2024-05-31T11:03:06.564803Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\r", " 0%| | 0/207 [00:00" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The returned result is an instance of the `TwoQubitXEBResult` class which provides visualization methods like \n", "result.plot_heatmap(); # plot the heatmap of XEB errors\n", "result.plot_fitted_exponential(*qubits[:2]); # plot the fitted model of xeb error of a qubit pair.\n", "result.plot_histogram(); # plot a histogram of all xeb errors." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:03:07.239549Z", "iopub.status.busy": "2024-05-31T11:03:07.239230Z", "iopub.status.idle": "2024-05-31T11:03:07.245381Z", "shell.execute_reply": "2024-05-31T11:03:07.244703Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pauli errors: {(cirq.GridQubit(4, 3), cirq.GridQubit(4, 4)): 0.02599469393962637, (cirq.GridQubit(4, 3), cirq.GridQubit(5, 3)): 0.025757782225380547, (cirq.GridQubit(4, 4), cirq.GridQubit(5, 4)): 0.026757133995180295, (cirq.GridQubit(5, 3), cirq.GridQubit(5, 4)): 0.02572263208365483, (cirq.GridQubit(5, 3), cirq.GridQubit(6, 3)): 0.026162562915298254, (cirq.GridQubit(5, 4), cirq.GridQubit(6, 4)): 0.026319304088891805, (cirq.GridQubit(6, 3), cirq.GridQubit(6, 4)): 0.02624989242059006}\n", "xeb errors: 0.020795755151701067\n", "xeb fidelity: 0.9792042448482989\n" ] } ], "source": [ "# `TwoQubitXEBResult` also has methods to retrieve errors.\n", "print('pauli errors:', result.pauli_error())\n", "print('xeb errors:', result.xeb_error(*qubits[:2]))\n", "print('xeb fidelity:', result.xeb_fidelity(*qubits[:2]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `run_rb_and_xeb` method returns an object of type [InferredXEBResult](https://github.com/quantumlib/Cirq/blob/bc766606b94744f80da435c522d16a34529ae671/cirq-core/cirq/experiments/two_qubit_xeb.py#L188C7-L188C24) which is like [TwoQubitXEBResult](https://github.com/quantumlib/Cirq/blob/bc766606b94744f80da435c522d16a34529ae671/cirq-core/cirq/experiments/two_qubit_xeb.py#L56) except that it removes the single-qubit errors obtained from the single-qubit randomized benchmarking (RB) experiment to isolate the error from the two qubit gate." ] }, { "cell_type": "markdown", "metadata": { "id": "ace31cc4d258" }, "source": [ "# Step by step XEB\n", "The rest of this notebook explains how the `parallel_two_qubit_xeb` works internally. Note that the notebook uses `SQRT_ISWAP` as the entangling gate while `parallel_two_qubit_xeb` and `run_rb_and_xeb` default to `CZ`.\n", "\n", "## Set up Random Circuits\n", "\n", "We create a library of 10 random, two-qubit `circuits` using the sqrt(ISWAP) gate. These library circuits will be mixed-and-matched among all the pairs on the device we aim to characterize." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:03:07.249089Z", "iopub.status.busy": "2024-05-31T11:03:07.248460Z", "iopub.status.idle": "2024-05-31T11:03:07.503474Z", "shell.execute_reply": "2024-05-31T11:03:07.502696Z" }, "id": "6fa8a0266b7a" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "20\n" ] } ], "source": [ "from cirq.experiments import random_quantum_circuit_generation as rqcg\n", "\n", "circuit_library = rqcg.generate_library_of_2q_circuits(\n", " n_library_circuits=20, \n", " two_qubit_gate=cirq.ISWAP**0.5,\n", " random_state=52,\n", ")\n", "print(len(circuit_library))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:03:07.506882Z", "iopub.status.busy": "2024-05-31T11:03:07.506354Z", "iopub.status.idle": "2024-05-31T11:03:07.511533Z", "shell.execute_reply": "2024-05-31T11:03:07.510742Z" }, "id": "c7c044ec12ac" }, "outputs": [ { "data": { "text/plain": [ "array([ 3, 23, 43, 63, 83])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# We will truncate to these lengths\n", "max_depth = 100\n", "cycle_depths = np.arange(3, max_depth, 20)\n", "cycle_depths" ] }, { "cell_type": "markdown", "metadata": { "id": "6fbec4054504" }, "source": [ "## Determine the device topology\n", "\n", "We will run on all pairs from a given device topology. Below, you can supply a `device_name` if you're authenticated to run on Google QCS. In that case, we will get the device object from the cloud endpoint and turn it into a graph of qubits. Otherwise, we mock a device graph by allocating arbitrary `cirq.GridQubit`s to turn into a graph." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:03:07.514706Z", "iopub.status.busy": "2024-05-31T11:03:07.514467Z", "iopub.status.idle": "2024-05-31T11:03:07.653947Z", "shell.execute_reply": "2024-05-31T11:03:07.653133Z" }, "id": "af1e12169e88" }, "outputs": [ { "data": { "image/png": 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BAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADDOe6kXEEonG3w6WNGkyAHDdLCiScMbfIqL6lWfIhBSzAwQnJMNPh0qO6lGX7MivW4NTonrFTPjchzHOd9OVVVVSkxMVGVlpRISErpjXZ1WUFytvO2F2rz3uArLa3XmJ+OSlJEcq1uGp+n+GzJ0Vf/4S7VMIGwwM0BwevLMdPbxu8fGwJHyWs1du0db9pfK43bJ39zxp9GyffzQflo8dZTSk2O7caVAeGBmgOD0hpnp1TGwZkehFqz/Qr5m55xfnLN53C553S4tnDRS943NuIgrBMILMwMEp7fMTGcfv3vcCx3LNhfol+/v69J9/f/4oj7zzh6V1jToiVuuCvHqgPDDzADBsTgzYftugpqaGqWlpSkvL6/1tjU7Crv8BTrbL9/fpzd2FAZ1n6ysLP3kJz8JyfGBUGNmgOAwM6eF7csEixYt0sqVK7Vv3z55PB4dKa/VbS/8PzX4mlv3Kdvwa9V89r5iMscq7V8WBH2MKK9bv/mnVK144RfatWuXjh07ptjYWF1zzTWaM2eOcnJyAvZfu3atHnjgAR04cECXXXbZBX+OQCi1NzNjH3pOxe++0O7+g55YLU+fpKCOwcygNznX40zdoU9Vue1NNRbvlxxHEUmXKyFrmuJGTAjqGJd6Zjr7+B2Wzww0NTVp6dKlmjlzpjwejyRp7to98p3xuk3D3wtUs+evcnkju3wcX7OjxW9sUXV1tR588EEtXbpU8+bNkyRNmjRJL7/8csD+kydPVkJCgpYvX97lYwIXQ0cz0/yP1k8cf79S7vxxwD93dFzQx2Fm0Fuc63GmZvdGHV8zTy6PR0kTZijplocVlX6tfFWlQR+np8xMWD4zsHbtWt11113av3+/MjMzVVBcrdtf/LB1u+M4Kn5tjrwp6ao/9JkiU6/o0jMDLTY9NUFD006/HcTv92vMmDGqr6/X119/HbDvrFmz9O677+rgwYNyuVxdPiYQSh3NTM3uTSp770Vd9uALihoQutcumRn0dB3NjK+iWEW/f1x9rp+o5Nt/GLLjXaqZCctnBj766CONHTtW0dHRyszM1IoVK5Sbm9vmk123bp0GDx6szMxMSVLe9kJ53Kf3Ofn5f6ux5LCSJsy44DV53C699rfA13Q8Ho/S09NVUVHRZv/bb79dhw8f1qeffnrBxwbOJ1QzI0nNDbVymv0XvCZmBuHsQmem+tMNchy/+o5/QJLU3FinTvzOfE49YWa67d0Ee/bs0cSJE5Wamqrc3Fz5fD4tWLBA/fv3b7Pvtm3bNHr06Nb/3rz3eOtbO5obalXxwatKHHdP0K93tsff7GjzvuOac3Kw6urqVFlZqfXr12vDhg2699572+w/ZswYSdLWrVv1ne9854KPD3QkVDMjScX/NVdOY53k8SpmyGgl3fqoIpIHdmldzAzCVShmpv7Qp4pIHqS6b3bqxOaV8leXyR3dR/Gj/1mJ4++XyxX879A9YWa6LQbmz58vx3G0ZcsWZWSceu/ltGnTNGrUqID9fD6fDhw4oMmTJ0uSahp8Kiyvbd1euXWNXN5IJYydErK1FZbV6kf/9pRW/v53kiS326277rpLy5Yta7PvwIEDFRkZqS+//DJkxwfaE4qZcUVEKW7UbYrOGCV3VKwaj+1X1Y51OrZ6jgY8vFTehNQurY2ZQTgKxcw0nSiSy+VW6f99UYk3TFNE2hDV7tumym1vyGn2K+nmh7q0tnCfmW6JAb/fr/z8fE2ZMqX1CyRJI0aMUHZ2tt57773W28rLy+U4jpKSTv3Wf7jsZOulH5vKj6pq53r1mzRHLm9EyNbnSLr+pu9p+ejvqKSkRBs3blRZWZl27typlJSUNvvHx8eroKBAn3zyScjWAJzJ7/drw4YNuvnmm1VaWqrS0tMnLmVlZWnr1q2t338tM1NXV6dPPvlEByuaWmcmbsR4xY0Y33rf2GHjFD1ktIrznlHltjeUcscTXVofM4NwE6qZcRrr5TjN6nvzQ0rMuluSFHf1TSqur1H1zneVOO4euaOCv7qgI2nK93+g/33vPSoqKtKbb74pv9+vxsbGdvdPSkoK+Bwutm6JgZKSEtXV1emqq9qewDR8+PCAGGjR8hpN4xlvJSzf9LKiBl6tuKtvCvka58ydr8a/B763dPPmzR3uv2nTptancoCLJT8/X/n5+e1uO/v7b/ny5Vq+fLkiBwzTgAeXdPgxo9NHKvLyYao/9NkFrY2ZQTi60JlxeSPlNNW3eQth3IgJqv9mlxqLv1F0xrVdWtugwUP1nYxTv+jOmDFDEydOVE5OjrZv397mnAbHcbr1hNuwuwJhcnKyXC6XTpw4IUmK9J56fabu0Geq/2aXUqfOla+i+PQdHL8cX4N8FcVyx8R3qdgk6fXXVmlI39PPNrzzzjtatGiR3n77bQ0ePDhg36ysLE2ZMkXPPPNMl44FnE9paamys7M1c+ZMPfbYYwHblixZory8PO3atUvSqac8s7KyNH36dM2ePVsHK5r0443n/o3Cm5Cq+vKjF7RGZgbhJFQz4+mTLN+JInniAs9J88T1lSQ119d0eY0tj2ct7r77bv3whz/Uvn37NHz48IBtFRUV6tevX5ePFaxuiYHU1FTFxMSooKCgzba9e/cGLsjrVWZmpg4ePChJGpwSJ5ckf1WJJKlk7eI2H8NfXaaj//mokr73AyWMnRz0+lyS7rhpTMCfodyyZYskadCgQQEnmRw9elRNTU2aMGFCwO1AKPn9fsXExKimpqbN91lLKJ95e2ZmpmprazV69GgNb/Dp6Y35Otf5z76KY3LHJnZ5fcwMwk2oZibysqHynSiSr6ZMEX1PX/THX10mSV2eG5dOPZ6dqa6uTpJUWVkZcPvRo0fV2NioESNGdOlYXdEtby30eDzKzs7WunXrVFh4+u0VX331VbtP54wbN047d+6UJMVFeZWRHKvoK65T6l0/bfPPHZuoyMuuUupdP1XM0P8Z9Nr8JyuUkRIb8EOtqalJq1atUkxMjK655pqA/VvK8sYbbwz6WEBnhWJmJMlfW9lm37oDO9R4bL9ihnTtgZmZQTgK1cy0nGNT89n7rfs6TrNq9mySOzpeUZcNDXptPWFmuu1lgoULF+ovf/mLxo8fr8cff1w+n08vvfSSRo4cqd27dwfsO3nyZK1evVr79u3TsGHDdMvwNH1bUSdvYlqbj1u+6XfyxPVV7LBxAbeX/vkFnfz8rxr4r3+Qt2/bt5W03j//N4qIbtbCk/+kgQMH6tixY8rLy9PXX3+tX/3qV+rTp0/A/hs3blRGRgZvkcJFd6Ezs3r7YR1d/bQi+2cq8rKhckfFqbH4gGp2b5QnIVWJN94T8DGYGfR0oZiZmKuyFH3F9ar6+C0111UpMm2Iavf9TQ3ffqnkO54IOHm9N81Mt1106LrrrlN+fr5SU1M1f/58rVy5UgsXLtTUqVPb7JuTk6N+/frpzTfflCTdf0NGUH9CUpKcpjq5vFHnveRq7NX/SwP6xuq3v/2tHnvsMS1ZskSDBg3Sn/70J82ePTtg3+bmZr399tuaMWMGV1LDRReKmYkdMUFN5UWq/PgtlW9cobpvdqnP9dka8OCSNq+JMjPo6UIxMy6XS6nTnlP8d3NUV7Bd5X/9nfwnTygl58eK/x93BHyM3jQzl/xyxLm5uVq4cGGbKzz97Gc/0yuvvKKCggJ5PB59/w/bte2bsk5HwZFfP6A+196qpFsf6XAfj9ulG69M0epHb+jUx1y3bp2mT5+uAwcOaMCAAZ26DxBqzAwQHMszE5aXIw7GU089pZqaGq1Zs0aStHjqKHndnaukxpLDcnwNSsiads79vG6XFk8ddc59zvSLX/xCTzzxBD/UEJaYGSA4zMxpYffWwhZ9+vTR8ePHW/87PTlWCyeN1DPv7DnvfSNTr1DG7LfOu9/zk0YqPbnzb0X8+OOPO70v0N2YGSA4zMxpYfvMQHvuG5uhpycOC8nHmjNxuO4dm3H+HYEejJkBgmN1Zi75OQNdsWZHoRas/0K+ZieoEws9bpe8bpeenzSyx3yBgFBgZoDg9JaZ6ezjd4+MAUk6Ul6ruWv3aMv+UnncrnN+sVq2jx/aT4unjgrqKRugt2BmgOD0hpnp9THQoqC4WnnbC7V533EVltUGXHXNJSkjJVa3DEvTA1kZGpoWf6mWCYQNZgYITk+eGTMxcKaTDT4dKjupRl+zIr1uDU6JC7jiE4BAzAwQnJ42M519/A7fz6AL4qK8Gnl516+3DljDzADB6a0z06PeTQAAAEKPGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACMIwYAADCOGAAAwDhiAAAA44gBAACM83ZmJ8dxJElVVVUXdTEAACB0Wh63Wx7HO9KpGKiurpYkpaenX+CyAABAd6uurlZiYmKH213O+XJBUnNzs4qKihQfHy+XyxXSBQIAgIvDcRxVV1fr8ssvl9vd8ZkBnYoBAADQe3ECIQAAxhEDAAAYRwwAAGAcMQAAgHHEAAAAxhEDAAAYRwwAAGDc/wey8scgRMbfRQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "device_name = None # change me!\n", "\n", "import cirq.contrib.routing as ccr\n", "import networkx as nx\n", "\n", "if device_name is None:\n", " qubits = cirq.GridQubit.rect(3, 2, 4, 3)\n", " # Delete one qubit from the rectangular arangement to\n", " # 1) make it irregular 2) simplify simulation.\n", " qubits = qubits[:-1]\n", " sampler = cirq.DensityMatrixSimulator(noise=cirq.depolarize(5e-3))\n", " graph = ccr.gridqubits_to_graph_device(qubits)\n", "else:\n", " import cirq_google as cg\n", " sampler = cg.get_engine_sampler(device_name, gate_set_name='sqrt_iswap')\n", " device = cg.get_engine_device(device_name)\n", " qubits = sorted(device.qubits)\n", " graph = ccr.gridqubits_to_graph_device(device.qubits)\n", "\n", "\n", "pos = {q: (q.row, q.col) for q in qubits}\n", "nx.draw_networkx(graph, pos=pos)" ] }, { "cell_type": "markdown", "metadata": { "id": "5d6f40acc7bf" }, "source": [ "## Set up our combinations\n", "We take the library of two-qubit circuits in `circuit_library` and mix-and-match to sampled in parallel.\n", "\n", "We will pass `combs_by_layer` and `circuit_library` to the sampling function which will \"zip\" the circuits according to these combinations. The outer list corresponds to the four `cirq.GridInteractionLayer`s (one of four for the degree-four GridQubit-implied graph). The inner `combinations` matrix is a `(n_combinations, n_pairs)` ndarray of integers which index into the circuit library." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:03:07.658021Z", "iopub.status.busy": "2024-05-31T11:03:07.657329Z", "iopub.status.idle": "2024-05-31T11:03:07.664126Z", "shell.execute_reply": "2024-05-31T11:03:07.663249Z" }, "id": "fbaf9c5c5335" }, "outputs": [ { "data": { "text/plain": [ "[CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=0, vertical=True, stagger=True), combinations=array([[ 5, 16],\n", " [12, 9],\n", " [ 5, 18],\n", " [11, 3],\n", " [ 6, 9],\n", " [13, 3],\n", " [11, 6],\n", " [14, 12],\n", " [16, 10],\n", " [18, 15]]), pairs=[(cirq.GridQubit(4, 4), cirq.GridQubit(5, 4)), (cirq.GridQubit(5, 3), cirq.GridQubit(6, 3))]),\n", " CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=1, vertical=True, stagger=True), combinations=array([[16],\n", " [ 3],\n", " [12],\n", " [ 0],\n", " [ 5],\n", " [ 5],\n", " [ 0],\n", " [ 7],\n", " [ 9],\n", " [12]]), pairs=[(cirq.GridQubit(4, 3), cirq.GridQubit(5, 3))]),\n", " CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=1, vertical=False, stagger=True), combinations=array([[13],\n", " [ 8],\n", " [ 8],\n", " [13],\n", " [ 1],\n", " [11],\n", " [11],\n", " [ 8],\n", " [14],\n", " [14]]), pairs=[(cirq.GridQubit(4, 3), cirq.GridQubit(4, 4))]),\n", " CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=0, vertical=False, stagger=True), combinations=array([[18],\n", " [16],\n", " [ 2],\n", " [ 6],\n", " [ 1],\n", " [ 9],\n", " [11],\n", " [ 1],\n", " [ 9],\n", " [ 6]]), pairs=[(cirq.GridQubit(5, 3), cirq.GridQubit(5, 4))])]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "combs_by_layer = rqcg.get_random_combinations_for_device(\n", " n_library_circuits=len(circuit_library),\n", " n_combinations=10,\n", " device_graph=graph,\n", " random_state=53,\n", ")\n", "combs_by_layer" ] }, { "cell_type": "markdown", "metadata": { "id": "d82866ff2269" }, "source": [ "### Visualize\n", "Here, we draw the four layers' active pairs." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:03:07.667789Z", "iopub.status.busy": "2024-05-31T11:03:07.667195Z", "iopub.status.idle": "2024-05-31T11:03:08.165181Z", "shell.execute_reply": "2024-05-31T11:03:08.164450Z" }, "id": "7ea374d2d337" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2,2, figsize=(9,6))\n", "for comb_layer, ax in zip(combs_by_layer, axes.reshape(-1)):\n", " active_qubits = np.array(comb_layer.pairs).reshape(-1)\n", " colors = ['red' if q in active_qubits else 'blue' for q in graph.nodes]\n", " nx.draw_networkx(graph, pos=pos, node_color=colors, ax=ax)\n", " nx.draw_networkx_edges(graph, pos=pos, edgelist=comb_layer.pairs, width=3, edge_color='red', ax=ax)\n", " \n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "id": "423f56a942f6" }, "source": [ "## Take Data\n", "\n", "The following call will execute the zipped circuits and sample bitstrings." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:03:08.169187Z", "iopub.status.busy": "2024-05-31T11:03:08.168614Z", "iopub.status.idle": "2024-05-31T11:04:05.311447Z", "shell.execute_reply": "2024-05-31T11:04:05.310712Z" }, "id": "aab08193f046" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\r", " 0%| | 0/207 [00:00\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
sampled_probstimestamplayer_ipair_icombination_ipair
circuit_icycle_depth
023[0.3524, 0.1055, 0.3544, 0.1877]1.717153e+09106(q(4, 3), q(5, 3))
1163[0.1855, 0.2468, 0.1857, 0.382]1.717153e+09205(q(4, 3), q(4, 4))
343[0.406, 0.1771, 0.1647, 0.2522]1.717153e+09101(q(4, 3), q(5, 3))
1423[0.1625, 0.2549, 0.2868, 0.2958]1.717153e+09007(q(4, 4), q(5, 4))
1223[0.1142, 0.4201, 0.2113, 0.2544]1.717153e+09017(q(5, 3), q(6, 3))
........................
683[0.2855, 0.2134, 0.2582, 0.2429]1.717153e+09309(q(5, 3), q(5, 4))
1143[0.1913, 0.4358, 0.1611, 0.2118]1.717153e+09006(q(4, 4), q(5, 4))
643[0.1834, 0.2051, 0.3956, 0.2159]1.717153e+09016(q(5, 3), q(6, 3))
1663[0.2058, 0.2745, 0.2738, 0.2459]1.717153e+09301(q(5, 3), q(5, 4))
03[0.0785, 0.0251, 0.3521, 0.5443]1.717153e+09103(q(4, 3), q(5, 3))
\n", "

250 rows × 6 columns

\n", "" ], "text/plain": [ " sampled_probs timestamp \\\n", "circuit_i cycle_depth \n", "0 23 [0.3524, 0.1055, 0.3544, 0.1877] 1.717153e+09 \n", "11 63 [0.1855, 0.2468, 0.1857, 0.382] 1.717153e+09 \n", "3 43 [0.406, 0.1771, 0.1647, 0.2522] 1.717153e+09 \n", "14 23 [0.1625, 0.2549, 0.2868, 0.2958] 1.717153e+09 \n", "12 23 [0.1142, 0.4201, 0.2113, 0.2544] 1.717153e+09 \n", "... ... ... \n", "6 83 [0.2855, 0.2134, 0.2582, 0.2429] 1.717153e+09 \n", "11 43 [0.1913, 0.4358, 0.1611, 0.2118] 1.717153e+09 \n", "6 43 [0.1834, 0.2051, 0.3956, 0.2159] 1.717153e+09 \n", "16 63 [0.2058, 0.2745, 0.2738, 0.2459] 1.717153e+09 \n", "0 3 [0.0785, 0.0251, 0.3521, 0.5443] 1.717153e+09 \n", "\n", " layer_i pair_i combination_i pair \n", "circuit_i cycle_depth \n", "0 23 1 0 6 (q(4, 3), q(5, 3)) \n", "11 63 2 0 5 (q(4, 3), q(4, 4)) \n", "3 43 1 0 1 (q(4, 3), q(5, 3)) \n", "14 23 0 0 7 (q(4, 4), q(5, 4)) \n", "12 23 0 1 7 (q(5, 3), q(6, 3)) \n", "... ... ... ... ... \n", "6 83 3 0 9 (q(5, 3), q(5, 4)) \n", "11 43 0 0 6 (q(4, 4), q(5, 4)) \n", "6 43 0 1 6 (q(5, 3), q(6, 3)) \n", "16 63 3 0 1 (q(5, 3), q(5, 4)) \n", "0 3 1 0 3 (q(4, 3), q(5, 3)) \n", "\n", "[250 rows x 6 columns]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from cirq.experiments.xeb_sampling import sample_2q_xeb_circuits\n", "sampled_df = sample_2q_xeb_circuits(\n", " sampler=sampler,\n", " circuits=circuit_library,\n", " cycle_depths=cycle_depths,\n", " combinations_by_layer=combs_by_layer,\n", " shuffle=np.random.RandomState(52),\n", " repetitions=10_000,\n", ")\n", "sampled_df" ] }, { "cell_type": "markdown", "metadata": { "id": "16b5a4a86384" }, "source": [ "## Benchmark Fidelities" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:04:05.315443Z", "iopub.status.busy": "2024-05-31T11:04:05.315180Z", "iopub.status.idle": "2024-05-31T11:04:06.310738Z", "shell.execute_reply": "2024-05-31T11:04:06.310109Z" }, "id": "8dd3ed7024ef" }, "outputs": [ { "data": { "text/html": [ "
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layer_ipair_icycle_depthfidelitypair
00030.936813(q(4, 4), q(5, 4))
100230.605378(q(4, 4), q(5, 4))
200430.400321(q(4, 4), q(5, 4))
300630.257006(q(4, 4), q(5, 4))
400830.174950(q(4, 4), q(5, 4))
50130.929799(q(5, 3), q(6, 3))
601230.597976(q(5, 3), q(6, 3))
701430.395087(q(5, 3), q(6, 3))
801630.257471(q(5, 3), q(6, 3))
901830.160830(q(5, 3), q(6, 3))
101030.931421(q(4, 3), q(5, 3))
1110230.611050(q(4, 3), q(5, 3))
1210430.396408(q(4, 3), q(5, 3))
1310630.247819(q(4, 3), q(5, 3))
1410830.184528(q(4, 3), q(5, 3))
152030.930107(q(4, 3), q(4, 4))
1620230.596022(q(4, 3), q(4, 4))
1720430.390537(q(4, 3), q(4, 4))
1820630.257577(q(4, 3), q(4, 4))
1920830.167120(q(4, 3), q(4, 4))
203030.937558(q(5, 3), q(5, 4))
2130230.596076(q(5, 3), q(5, 4))
2230430.394532(q(5, 3), q(5, 4))
2330630.260969(q(5, 3), q(5, 4))
2430830.163804(q(5, 3), q(5, 4))
\n", "
" ], "text/plain": [ " layer_i pair_i cycle_depth fidelity pair\n", "0 0 0 3 0.936813 (q(4, 4), q(5, 4))\n", "1 0 0 23 0.605378 (q(4, 4), q(5, 4))\n", "2 0 0 43 0.400321 (q(4, 4), q(5, 4))\n", "3 0 0 63 0.257006 (q(4, 4), q(5, 4))\n", "4 0 0 83 0.174950 (q(4, 4), q(5, 4))\n", "5 0 1 3 0.929799 (q(5, 3), q(6, 3))\n", "6 0 1 23 0.597976 (q(5, 3), q(6, 3))\n", "7 0 1 43 0.395087 (q(5, 3), q(6, 3))\n", "8 0 1 63 0.257471 (q(5, 3), q(6, 3))\n", "9 0 1 83 0.160830 (q(5, 3), q(6, 3))\n", "10 1 0 3 0.931421 (q(4, 3), q(5, 3))\n", "11 1 0 23 0.611050 (q(4, 3), q(5, 3))\n", "12 1 0 43 0.396408 (q(4, 3), q(5, 3))\n", "13 1 0 63 0.247819 (q(4, 3), q(5, 3))\n", "14 1 0 83 0.184528 (q(4, 3), q(5, 3))\n", "15 2 0 3 0.930107 (q(4, 3), q(4, 4))\n", "16 2 0 23 0.596022 (q(4, 3), q(4, 4))\n", "17 2 0 43 0.390537 (q(4, 3), q(4, 4))\n", "18 2 0 63 0.257577 (q(4, 3), q(4, 4))\n", "19 2 0 83 0.167120 (q(4, 3), q(4, 4))\n", "20 3 0 3 0.937558 (q(5, 3), q(5, 4))\n", "21 3 0 23 0.596076 (q(5, 3), q(5, 4))\n", "22 3 0 43 0.394532 (q(5, 3), q(5, 4))\n", "23 3 0 63 0.260969 (q(5, 3), q(5, 4))\n", "24 3 0 83 0.163804 (q(5, 3), q(5, 4))" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from cirq.experiments.xeb_fitting import benchmark_2q_xeb_fidelities\n", "fids = benchmark_2q_xeb_fidelities(\n", " sampled_df=sampled_df,\n", " circuits=circuit_library,\n", " cycle_depths=cycle_depths,\n", ")\n", "fids" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:04:06.314375Z", "iopub.status.busy": "2024-05-31T11:04:06.314117Z", "iopub.status.idle": "2024-05-31T11:04:06.335282Z", "shell.execute_reply": "2024-05-31T11:04:06.334558Z" }, "id": "05748707cacc" }, "outputs": [], "source": [ "from cirq.experiments.xeb_fitting import fit_exponential_decays, exponential_decay\n", "fidelities = fit_exponential_decays(fids)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:04:06.339257Z", "iopub.status.busy": "2024-05-31T11:04:06.338978Z", "iopub.status.idle": "2024-05-31T11:04:06.519197Z", "shell.execute_reply": "2024-05-31T11:04:06.518453Z" }, "id": "WJbgW4r1Guuf" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "heatmap_data = {}\n", "\n", "for (_, _, pair), fidelity in fidelities.layer_fid.items():\n", " heatmap_data[pair] = 1.0 - fidelity\n", "\n", "cirq.TwoQubitInteractionHeatmap(heatmap_data).plot();" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:04:06.523192Z", "iopub.status.busy": "2024-05-31T11:04:06.522892Z", "iopub.status.idle": "2024-05-31T11:04:06.983841Z", "shell.execute_reply": "2024-05-31T11:04:06.982770Z" }, "id": "a12f73217150" }, "outputs": [ { "data": { "image/png": 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161bo78nJySEzMzPfQ4qhywsQ0wyOHYTpd8DxY6YTiYiIFKpYZWT//v24XC6ioqLyrY+KiiI1NbXA9/Tp04enn36a9u3bExAQQJ06dbjiiivOephmzJgxRERE5D1iY2OLE1MCgu3zR0Iqw56fYN5wTYgmIiIeq9Svplm2bBnPPfccb7/9NqtXr+bzzz9n/vz5PPPMM4W+Z8SIEWRkZOQ9du3SoYZiq3TRyQnRnLBmCiSNN51IRESkQP7FGRwZGYmfnx9paWn51qelpREdHV3ge0aOHMkdd9zBPffcA0CTJk04cuQIgwYN4oknnsDpPLMPBQUFERQUVJxoUpDaV0Cnp+HLJ2HRCIhqBHHtTKcSERHJp1h7RgIDA2nZsiWJiYl569xuN4mJicTHxxf4nqNHj55ROPz8/ACwdOig9MXfD41vAvcJ+4Z6Gb+bTiQiIpJPsQ/TDB8+nPHjxzNx4kQ2bNjA4MGDOXLkCAMGDACgX79+jBgxIm98jx49eOedd5g6dSrbt29n8eLFjBw5kh49euSVEilFDgdc9yZENYGj+2HaHXBcc7yIiIjnKNZhGoDevXuzb98+Ro0aRWpqKs2bN2fhwoV5J7Xu3Lkz356QJ598EofDwZNPPsnu3bu58MIL6dGjB88++2zJ/RVydoGhcOskeO8K2LMa5g+3Z2x1OEwnExERwWF5wbGSzMxMIiIiyMjIIDw83HQc77X1K5h0A1hu6PYytB5oOpGIiPiwon5/69405UmdKyHh1B1+H4MdK8zmERERQWWk/Gn7ADS+8U8ntO42nUhERMo5lZHyJu+E1sZwZN/JGVp1QquIiJijMlIeBV4AvSdBcEXYnWyf0Or5pw6JiIiPUhkpryrXOj1Da8pkWDnWdCIRESmnVEbKszpXQefn7OXFI2Hzl2bziIhIuaQyUt61uRcu7Wdf7vvZ3ZC+0XQiEREpZ1RGyjuHA7q9AjXbQk4mfHIrHD1oOpWIiJQjKiMC/oHQ+39QsSb8sd2+5Nd13HQqEREpJ1RGxHZBJNw2FQIrwG/fwhePmk4kIiLlhMqInBbVCG4YDzhg1QeQNN50IhERKQdURiS/+t0gYbS9/MWjsG2Z0TgiIuL7VEbkTO2GQdPeYLlgen84sNV0IhER8WEqI3ImhwN6vAHVW0H2IZjSG44dMp1KRER8lMqIFCwgGG6dAuHV4cAWmHEXuE6YTiUiIj5IZUQKFxZlFxL/ENiaCF88onvYiIhIiVMZkbOr1hxufB/7CpsJuoeNiIiUOJUR+XsNroXOz9rLXz4JG+aazSMiIj5FZUSK5vL7oNXdgAWfDYTdyaYTiYiIj1AZkaJxOKDri3BxApw4Bp/cBod2mk4lIiI+QGVEis7PH276EKIaw+E0+5Lf7AzTqURExMupjEjxBIdDn2lQIRrS19uToummeiIich5URqT4ImrYhSQgFLZ9BQse1iW/IiJyzlRG5NxUaw43TQAckPwRrHjTcCAREfFWKiNy7i7pCl3G2MuLR8L62WbziIiIV1IZkfPT5l5oPche/nwQ7Eoym0dERLyOyoicH4cDOo+Bel3gRDZMuQX2bzGdSkREvIjKiJw/P3/7/JHqLeHYHzDpBshKM51KRES8hMqIlIzAC6DPdKhc254MbfJNkJNlOpWIiHgBlREpORdEwu2fwQUXQurPML0fnMg1nUpERDycyoiUrMq17T0kARfA1qUw5wHNQSIiImelMiIlr/qlcMtEcPjBz1Mh8WnTiURExIOpjEjpqNsJrnvDXl7+KiSNN5tHREQ8lsqIlJ4Wt8OVT9rLCx6BDXPN5hEREY+kMiKl6x8PQ8sBgAUz7oYdK00nEhERD6MyIqXL4YBuL8Ml3cCVA5/cCukbTacSEREPojIipc/PH278AGq0huxD8L/r7blIREREUBmRshIYCn2mwYX1IWsPfNwLDu8znUpERDyAyoiUndDKcMdMiKgJB7fa08ZnZ5pOJSIihqmMSNkKr2YXktBIe5bWT26D49mmU4mIiEEqI1L2Ii+GOz6HoHDYsRxmDADXCdOpRETEEJURMSOmGdz2CfgFwaYF9rTxbrfpVCIiYoDKiJgT1x5u/sieNn7NFFg8UvexEREph1RGxKz63aDnWHt55Vv21PEiIlKuqIyIec1vg87P2cuJT8OqD83mERGRMqUyIp4hfgh0+Je9PO8hWPe52TwiIlJmVEbEc1w18vR9bD4fCJu+MJ1IRETKgMqIeA6HA7q/Ak1uBvcJmN4Ptn5lOpWIiJQylRHxLE4/6DUO6l8LrlyY2kd3+hUR8XEqI+J5/PzhpglwcQIcPwqTb4bdyaZTiYhIKVEZEc/kHwS9J0FcB8jNgv/dAKnrTKcSEZFSoDIinisgxJ6ltcZlkH0I/tcL9m02nUpEREqYyoh4tqAw6DsDopvCkX3wcU/44zfTqUREpASpjIjnC6kId8yCC+tD1h6Y2AMydptOJSIiJURlRLzDBVWg32yoXBsO7YSPr4PD6aZTiYhICVAZEe8RFg395kBELBz4FSZeB0f2m04lIiLnSWVEvEvFWHsPSVgM7NtwspAcMJ1KRETOg8qIeJ8qdaD/XKgQDem/2Idsjh40nUpERM6Ryoh4p8i6JwtJFKStUyEREfFiKiPivS6sZxeSC6pC6lr7sl8VEhERr6MyIt7twktOFpILIfVne2K0Y3+YTiUiIsWgMiLer2p9u5CERsLeNfBxLzh2yHQqEREpIpUR8Q1VG5wsJFVgbwr873oVEhERL6EyIr4jqqFdSEIqw57VMOkGyM4wnUpERP6Gyoj4lqhG0H+OXUh2J2sPiYiIF1AZEd8T3eRkIalkFxJd9isi4tFURsQ3RTeB/vNOn9Q6sQcc3mc6lYiIFEBlRHxXdGO4c37exGjWR91ZtXYDs1N2s3LrAVxuy3RCEREB/E0HEClVVevDnQvI/qAbwfs3UfnTXtyf+wSpVCEmIpjRPRrSpXGM6ZQiIuWa9oyIz1uYegHXHHqM361IajtTmR74NDUc+0jNyGbwpNUsXLfXdEQRkXLtnMrI2LFjiYuLIzg4mDZt2pCUlHTW8YcOHWLIkCHExMQQFBREvXr1WLBgwTkFFikOl9viqbnr2WlFcUvOKH5zR1HTuY+pgc8Q60gD4Km563XIRkTEoGKXkWnTpjF8+HBGjx7N6tWradasGZ07dyY9Pb3A8bm5uXTq1InffvuNGTNmsGnTJsaPH0/16tXPO7zI30nafpC9GdkA7CGS3rkj2eqOoYZjP9MDn6aWYw97M7JJ2q6rbURETCl2GXn11VcZOHAgAwYMoGHDhowbN47Q0FAmTJhQ4PgJEyZw8OBBZs2aRbt27YiLi6Njx440a9bsvMOL/J30rOx8z9OozK25I9nkrkG04w+mBT5DXcfvZ4wTEZGyU6wykpubS3JyMgkJCad/gNNJQkICK1euLPA9c+bMIT4+niFDhhAVFUXjxo157rnncLlchf6enJwcMjMz8z1EzkXVsOAz1u2jIrflPsl690Vc6MhgauAz1Mr91UA6ERGBYpaR/fv343K5iIqKyrc+KiqK1NTUAt+zbds2ZsyYgcvlYsGCBYwcOZJXXnmF//znP4X+njFjxhAREZH3iI2NLU5MkTyta1UmJiIYx1/WHySc23KfYI27NlUcWTRJvB12rDCSUUSkvCv1q2ncbjdVq1blvffeo2XLlvTu3ZsnnniCcePGFfqeESNGkJGRkffYtWtXaccUH+XndDC6R0OAMwpJJhW4PfdxDkZehiMn0546fsvisg8pIlLOFauMREZG4ufnR1paWr71aWlpREdHF/iemJgY6tWrh5+fX966Bg0akJqaSm5uboHvCQoKIjw8PN9D5Fx1aRzDO7dfSnRE/kM20RHBvHR7eyr/cy7U7QwnsuGTW2Hd54aSioiUT8Wa9CwwMJCWLVuSmJhIr169AHvPR2JiIvfff3+B72nXrh1TpkzB7XbjdNrdZ/PmzcTExBAYGHh+6UWKqEvjGDo1jCZp+0HSs7KpGhZM61qV8XOe3F9y62SY+U9Y9xnMuAtysqBlf7OhRUTKiWIfphk+fDjjx49n4sSJbNiwgcGDB3PkyBEGDBgAQL9+/RgxYkTe+MGDB3Pw4EGGDh3K5s2bmT9/Ps899xxDhgwpub9CpAj8nA7i61ShZ/PqxNepcrqIAPgFwA3joeUAwIK5D8KKN41lFREpT4o9HXzv3r3Zt28fo0aNIjU1lebNm7Nw4cK8k1p37tyZtwcEIDY2lkWLFvHQQw/RtGlTqlevztChQ3n00UdL7q8QKQlOP7j2vxAcDt+9Dl8+CdkZcOUT4PjrGSciIlJSHJZlefzUk5mZmURERJCRkaHzR6RsfPsqJD5lL7ceBF1eAKfuniAiUhxF/f7Wp6tIQToMh24v28tJ78GsweA6YTaTiIiPUhkRKUzrgXD9e+Dwg5+nwrS+kHvUdCoREZ+jMiJyNs1621fa+AfD5oXwcU84qvvYiIiUJJURkb9zSVfoNxuCK8LvSTChC2T8bjqViIjPUBkRKYqal8NdCyG8OuzfBO93gvQNplOJiPgElRGRoqraAO7+EiIvgaw9MKEz7PzedCoREa+nMiJSHBE17D0kNVrbc5B83BM2LjCdSkTEq6mMiBRXaGX7HJJ6Xez72UzrC6s/Np1KRMRrqYyInIvAUOg9GZrfDpYb5jwA37wEnj+HoIiIx1EZETlXfv7Q8y1oP9x+vvQ/MP9fmhxNRKSYVEZEzofDAQmjoeuLgANWfQBT+0DOYdPJRES8hsqISElo80+45WN7crQti+CjbpCVZjqViIhXUBkRKSkNr4P+8yC0CuxdA+8nQPpG06lERDyeyohISYq9DO5eDJXrQMZO+OAa2P6t6VQiIh5NZUSkpFWpYxeS2DaQkwH/ux7WTDOdSkTEY6mMiJSGC6rYc5E07AXu4zBzkC79FREphMqISGkJCIGbPoS2D9jPl/4H5j4IruNmc4mIeBiVEZHS5HTCNf+Bbi+Dw2nP1Dr5Zjh2yHQyERGPoTIiUhZaD4Rbp0BAKGz7Cj7oBAe3mU4lIuIRVEZEysolXe2b7IVVg/2bYfzVsGOF6VQiIsapjIiUpZhmMHApVGsBxw7CxOvgp8mmU4mIGKUyIlLWwmPgzgWnr7SZfR8sHg1ut+lkIiJGqIyImBAYal9p849/28+/ew2m3wG5R4zGEhExQWVExBSnE656Am4YD35BsHEeTOgCGbtNJxMRKVMqIyKmNb0F7pwHF1wIqT/D+Ktgd7LpVCIiZUZlRMQTxLaGexKhakM4nAofdoOfp5tOJSJSJlRGRDxFpYvgrkVQrwucyIbPB8KXT4LbZTqZiEipUhkR8STB4fbkaB3+ZT9f8ebJGVv/MJtLRKQUqYyIeBqnH1w9yr7aJiAUtiba55GkbzSdTESkVKiMiHiqxjfYh20iatpTx7+fABsXmE4lIlLiVEZEPFlMUxj0FVzUHnKzYOpt8PVLYFmmk4mIlBiVERFPd0Ek9JsFrQfZz7/6D0zvBzmHjcYSESkpKiMi3sAvALq9BD3eAGcAbJgDH1wDB7aaTiYict5URkS8Scv+JydIqwrpv8B7V8KmhaZTiYicF5UREW9T83L459dQozXkZMAnvWHps5qPRES8lsqIiDcKrwZ3zofLBtrPv3kRptwCRw+azSUicg5URkS8lX8gdH8Zrn8X/EPg1yXwXkfYk2I6mYhIsaiMiHi7ZrfCPYuhUhwc2gkTOsNPk02nEhEpMpUREV8Q3QQGLYO6ne372sy+D+YOgxM5ppOJiPwtlRERXxFSCW6bClc+ATgg+UP4sCsc2mU6mYjIWamMiPgSpxM6/hv6zoDgirA7Gd7tAJsXmU4mIlIolRERX1Q3Af75DVS71L7j75RbYPEocB03nUxE5AwqIyK+qtJFcNdCaP1P+/l3r8PEHpC5x2wuEZG/UBkR8WX+QdDtRbh5IgSFw86VMK69fRmwiIiHUBkRKQ8a9bKvtoluAkcPwKQbIfEZcJ0wnUxERGVEpNyoUgfuXgKt7raff/syfNwTslLN5hKRck9lRKQ8CQiGa1+FGz+AwAqwY7l92GbrUtPJRKQcUxkRKY+a3GQftqnaCI7sg//dAItH62obETFCZUSkvIqsCwMTodVdgAXfvWZPJX9wu+lkIlLOqIyIlGcBIXDtf+GWjyE4wp4kbVwHWDvDdDIRKUdURkQEGvaEe7+DmvGQmwWf3Q2zhkDOYdPJRKQcUBkREVvFWOg/Dzo+Cg4npEyC966AvWtMJxMRH6cyIiKn+fnDlY9D/7kQVg0ObIH3E+D7d8CyTKcTER+lMiIiZ4prD4O/g0u6gysXFj4Gk2+GrDTTyUTEB6mMiEjBQivDrZOh28vgFwS/LoZ34mHjfNPJRMTHqIyISOEcDmg9EP75NUSdnEp+ah+Y84BObhWREqMyIiJ/r2oDe06Stg8CDlj9MbzbAXb9aDqZiPgAlRERKRr/ILjmGfvk1vAacHCbPUnaV2N0wz0ROS8qIyJSPLU62Ce3NrkZLBd8/bxdSg5sNZ1MRLyUyoiIFF9IRbjxffuGe0ERsHuVPXNr8ke6BFhEik1lRETOXZOb7L0kcR3g+BGYO9S+BDhzj+lkIuJFVEZE5PxUjIV+c+Ca/5y+BPjty2HNNO0lEZEiURkRkfPndELbB+Deb6FaC8jOgJmDYNrtcHif6XQi4uFURkSk5Fx4Cdy9BK58EpwBsHEevN0GfpllOpmIeDCVEREpWX7+0PERGLgUohrbE6V92h9m3A1HD5pOJyIeSGVEREpHTFMY+BV0eNi+C/C6Gfa5JJsWmk4mIh5GZURESo9/IFw90j50E1kPDqfBJ73h80HaSyIieVRGRKT01WgJ//wG4u+395L8PA3Gtta5JCICqIyISFkJCIHOz8Ldi+HC+nBkn30uybTbISvNdDoRMUhlRETKVo1W9l6SfzwCTn/YMNfeS5Iy5Yx5SVxui5VbDzA7ZTcrtx7A5da8JSK+6JzKyNixY4mLiyM4OJg2bdqQlJRUpPdNnToVh8NBr169zuXXioiv8A+Cq56EQcsgphlkH4JZg2HyTXBoFwAL1+2l/QtLuW389wydmsJt47+n/QtLWbhur9HoIlLyil1Gpk2bxvDhwxk9ejSrV6+mWbNmdO7cmfT09LO+77fffuPhhx+mQ4cO5xxWRHxMdBO4ZylcPfrk7K1L4O3L+WX2K9w3aRV7M7LzDU/NyGbwpNUqJCI+pthl5NVXX2XgwIEMGDCAhg0bMm7cOEJDQ5kwYUKh73G5XPTt25ennnqK2rVrn1dgEfExfv7QYTjcuxxi20DuYRr99DTTAp+mruP3fENPHaR5au56HbIR8SHFKiO5ubkkJyeTkJBw+gc4nSQkJLBy5cpC3/f0009TtWpV7r777iL9npycHDIzM/M9RMTHXVgPBnzB9lajOGIFcZlzM/MDRzDcfzpB5OYNs4C9GdkkbdelwSK+olhlZP/+/bhcLqKiovKtj4qKIjU1tcD3LF++nA8++IDx48cX+feMGTOGiIiIvEdsbGxxYoqIt3L68XONW+mU8xKLXZcS6HDxoP8svgh8jHjnL/mGpmdlF/JDRMTblOrVNFlZWdxxxx2MHz+eyMjIIr9vxIgRZGRk5D127dpViilFxJNUDQtmD5EMPP4v7s0dRppVkdrOVD4JfJaX/MdRkay8cSLiG/yLMzgyMhI/Pz/S0vLPCZCWlkZ0dPQZ47du3cpvv/1Gjx498ta53W77F/v7s2nTJurUqXPG+4KCgggKCipONBHxEa1rVSYmIpjUjGwWulvzXU5j/u0/lb5+idzs/w1X+f3EmwF30Tquq+moIlJCirVnJDAwkJYtW5KYmJi3zu12k5iYSHx8/Bnj69evz9q1a0lJScl7XHfddVx55ZWkpKTo8IuInMHP6WB0j4YAOIAsQhl54i5uyh3NJncNqjiy+L8Tr+M3+QY4sNVsWBEpEcU+TDN8+HDGjx/PxIkT2bBhA4MHD+bIkSMMGDAAgH79+jFixAgAgoODady4cb5HxYoVCQsLo3HjxgQGBpbsXyMiPqFL4xjeuf1SoiNOH4pZbdXjnuBX2NxomH0Z8Lav4O14+GoMHD9mLqyInLdiHaYB6N27N/v27WPUqFGkpqbSvHlzFi5cmHdS686dO3E6NbGriJyfLo1j6NQwmqTtB0nPyqZqWDCta1XGz9kFDvSDBQ/D1qXw9fPw81To9jLU7WQ6toicA4dlWR5/sX5mZiYRERFkZGQQHh5uOo6IeALLgvWzYOHjkLXHXtegB3R5HiJqGI0mIraifn9rF4aIeCeHAxpdD/cnnbwbsJ99n5u3LoPlr8GJ3L/9ESLiGVRGRMS7BYXZdwO+91uoGQ/Hj8KS0fBuB/htuel0IlIEKiMi4huiGsGAL6DXOxAaCfs2wkfd4bN7IHOP6XQichYqIyLiOxwOaN4HHlgFre4GHLD2U3izFXz7KpzIMZ1QRAqgMiIiviekElz7KgxaZt987/gRSHwKxraBTQvtk19FxGOojIiI76rWHO5aBNe/BxWi4Y/t8ElvmHwz7N9iOp2InKQyIiK+zeGAZr3tQzfthoEzAH5dbE+Y9uVIyNZdwUVMUxkRkfIhKAw6PQVDfoC6ncF9HFa8AW+1gpQpcPK+WSJS9lRGRKR8qVIH+k6HPtOhcm04nAazBsP4K2HHCtPpRMollRERKZ/qdYb7voeEpyAwDPamwIddYdodcHC76XQi5YrKiIiUX/5B0H4YPPgTtBwADidsmANjW8OXT0J2humEIuWCyoiISIULocdrcO9yqH0luHJhxZvwRgv48X1wnTCdUMSnqYyIiJwS1QjumAl9PoXIenD0AMz/F4xrB1uWmE4n4rNURkRE/szhgHrXwOAV0PUlewK1fRth8o3wcU/Yu8Z0QhGfozIiIlIQvwBoM8g+nyT+fvALhG3L4N1/wGcD4Y8dphOK+AyVERGRswmpZN8V+P4focnN9rq10+35SRY9AUcPms0n4gNURkREiqJSHNz4vn2/m1r/sE9yXfkWvNEcvnsdjmcbDijivVRGRESKo1oL6DcH+n4GUY3ty38Xj4I3W56cydVlOqGI11EZEREpLocD6ibAP7+BXu9AeA3I/N2eyfWddrBhnu4MLFIMKiMiIufK6QfN+9g34Ut4CoIjYN8GmNYX3k+AbV+bTijiFVRGRETOV0CIPZPr0J+hw78gIBR2r4KPr7MvB/492XRCEY+mMiIiUlJCKsLVo+DBFGj9T3AG2JcDv38VTO0L6RsMBxTxTCojIiIlLSwKur0IDyRDsz72PW82zoO342HmvboRn8hfqIyIiJSWShfB9e/A4JXQoAdgwZpP7DlK5jwAh3aaTijiEVRGRERKW9X60HsSDFwKda4C9wlY/TG8cSnMewgyfjedUMQolRERkbJSvaV9I767FkGtjuA+Dqsm2HcHXvAIZO41nVDECJUREZGyVvNy6D8H7pwPF7WzZ3NNeg9ebwZfPAZZaaYTipQplREREVPi2tuFpN8ciL0cXDnwwzt2KVn0BGSlmk4oUiYcluX50wRmZmYSERFBRkYG4eHhpuOIiJQ8y4KtS+Gr5+w5SgD8gqBlf2g3DCKqG40nci6K+v2tMiIi4kksC35dAl+/CL8n2ev8AqF5X2j/kH2FjoiXUBkREfFmlgXbv4avX4Idy+11Tn9oeit0GA5V6pjNJ1IERf3+1jkjIiKeyOGA2lfAgPlw5wJ72X0CUibZ85R8Pgj2bTKdUqREaM+IiIi32JUE37wEW748ucIB9bvbe0qqtzQaTaQgOkwjIuKr9vwE37xsTzF/Sq2Odimp1dHeqyLiAVRGRER8XfpG+O41+Hk6WC57XbVL7VJySXdw6ki8mKUyIiJSXhzaCSvetKeYP5Ftr4u8BNoPgyY3g1+A0XhSfqmMiIiUN4f32ZOmJb0PORn2uvAacPlge76SoDCz+aTcURkRESmvsjPte96sHAtH0u11QRHQ6k5oMxjCY4zGk/JDZUREpLw7ng0/T7MP4RzYYq9zBkDTWyD+fohqaDaf+DyVERERsbndsGURfPcG7Fxxev3FnaDdgxDXQVfgSKlQGRERkTP9vgpWvAEb5oLlttfFNIPLh0Cj68E/0Gw+8SkqIyIiUriD22Dl2/DTJDhxzF5XIRpa3wMt74ILqpjNJz5BZURERP7ekQOQPMG+Audwqr3OPxia9ravwqnawGw+8WoqIyIiUnQncmH9LPsKnL0pp9fXuQouvw/qXK1J1KTYVEZERKT4LAt2fg/fv21PN3/qvJLIetB6EDS7VfOVSJGpjIiIyPn54zdIGm/P7JqTaa8LCofmfeCygRB5sdF44vlURkREpGTkZEHKFLuYnJqvBOxDN60HQd1O4PQDwOW2SNp+kPSsbKqGBdO6VmX8nLpsuLxSGRERkZLldsP2ZXYp2fQFcPLro1IcXHYPS4I7MXLRbvZmZOe9JSYimNE9GtKlsWZ9LY9URkREpPT88Rv8+IF9CCf7EADHrEBmu9oyyZXAOqs2AKf2ibxz+6UqJOWQyoiIiJS+3KO4137Kr/NepZ71W97qNe7aTHIlMNcVTw5BREcEs/zRq3TIppwp6ve3rtMSEZFzFxjKDxWv5Zpjz3JjzmhmutqRY/nTzLmNlwLeIyloCKP8JxKauZWk7QdNpxUPpTIiIiLnJT0rG3CQbF3CQ8eHEJ/zFmOO38YOd1XCHUcZ4L+IxKBHqLugN6z7zJ7TRORP/E0HEBER71Y1LDjf84OE866rB++5utPBuZbb/ZZwtXM1kQd+hBk/QmgkNL8NLu0PkXUNpRZPonNGRETkvLjcFu1fWEpqRjYFfaE4gCbhh5l1+a84V398etp5gIva2aWk4XUQEFJWkaWM6JwREREpE35OB6N7NAROXz1zyqnn9133D5xXPQEP/QK3ToG6ncHhhB3fwcxB8MolsOARSF1XptnFM2jPiIiIlIiF6/by1Nz1RZ9nJGM3pEyG1f+DjJ2n11dvae8taXQ9BOsz35vp0l4RESlz5zQDq9sF276C5ImwaQG4T9jrA0KhYU9o3tc+nKMb9XkdlREREfE+h/fBminw0yTYv/n0+ooXQYvbodltUDHWXD4pFpURERHxXpYFv/9ol5J1n0Nu1skXHFC7IzS/HRpcq5NePZzKiIiI+Ibco7Bhjl1Mfvv29PqgCGjUy95bUvNycGh2V0+jMiIiIr7nj9/sOwinTIGMXafXV4qDprdCs95QubapdPIXKiMiIuK73G7YsRzWTIX1syH38OnXYi+3S0mj6yGkkrmMojIiIiLlRO4R2Dgf1nwC25aB5bbX+wXCJV2haW+4OAH8g4zGLI9URkREpPzJ3AtrP7WLSfr60+uDK9qXCTe5WZcJlyGVERERKb8sC1LXws/T7JvzZe09/VpYNWhyIzS5BaKb6MTXUqQyIiIiAvakar8tt/eYrJ8DORmnX4u8BJreDI1vgsq1zGX0USojIiIif3U8G35dDD9Ph82LwJVz+rVqLaDxjfaJrxE1zGX0ISojIiIiZ5OdARvm2ntMtn9z+sRXgNg20OgGex6TsGhjEb2dyoiIiEhRHU63LxH+ZSbsWAGc+mp0QFx7e29Jw55wQaTJlF5HZURERORcZO6xi8m6z+wp6U9xOO1i0rAnNLgOKlQ1l9FLFPX7+5yubRo7dixxcXEEBwfTpk0bkpKSCh07fvx4OnToQKVKlahUqRIJCQlnHS8iImJUeDW4fDDcswSGrYVOT0NMc/swzvZvYP6/4OV68GF3+OE9+3JiOS/F3jMybdo0+vXrx7hx42jTpg2vvfYan376KZs2baJq1TNbYt++fWnXrh1t27YlODiYF154gZkzZ/LLL79QvXr1Iv1O7RkRERHjDm6375GzfjbsTv7TCw773jgNe0KDHjr59U9K7TBNmzZtuOyyy3jrrbcAcLvdxMbG8sADD/DYY4/97ftdLheVKlXirbfeol+/fkX6nSojIiLiUQ7ttC8TXj8bfv/L3v5ql9p3FK7fAy6sZyafhyjq97d/cX5obm4uycnJjBgxIm+d0+kkISGBlStXFulnHD16lOPHj1O5cuVCx+Tk5JCTc/pyq8zMzOLEFBERKV0Va0Lb++1Hxm77qpz1s2Dn97Bntf1IfNqex6TBtVD/WvvSYU2wVqBilZH9+/fjcrmIiorKtz4qKoqNGzcW6Wc8+uijVKtWjYSEhELHjBkzhqeeeqo40URERMyIqA6X32s/stJg03zYMM8+v2T/Jvh2E3z7CkTEQv3udjGpGQ9+xfoK9mll+l/i+eefZ+rUqSxbtozg4OBCx40YMYLhw4fnPc/MzCQ2NrYsIoqIiJy7sChodZf9yM6AzV/CxrmwZQlk7IIfxtmP4IpQrzNc0g0uvhqCwkwnN6pYZSQyMhI/Pz/S0tLyrU9LSyM6+uyTwrz88ss8//zzLFmyhKZNm551bFBQEEFBuruiiIh4seAIe6r5pjfD8WOw9SvYOA82fQHHDtr3zfl5mn134bgO9h2GL+lm72kpZ4p1aW9gYCAtW7YkMTExb53b7SYxMZH4+PhC3/fiiy/yzDPPsHDhQlq1anXuaUVERLxRQAjU7wa93oZHfoUBX0DbB6ByHXDlwtZEWPAw/LchvPsPWPY87Emxb/hXDpzTpb39+/fn3XffpXXr1rz22mtMnz6djRs3EhUVRb9+/ahevTpjxowB4IUXXmDUqFFMmTKFdu3a5f2cChUqUKFChSL9Tl1NIyIiPmv/Ftg4395jsusHTs/+CoTFQN1OUK8L1OoIQUX73vQUpToD61tvvcVLL71EamoqzZs354033qBNmzYAXHHFFcTFxfHRRx8BEBcXx44dO874GaNHj+b//u//SvSPERER8WqH98GWL2HTAvuwzvEjp187dTinXmeoe02J3GXY5bZI2n6Q9KxsqoYF07pWZfycJXfFj6aDFxER8WYncmDHd/bdhTcvhD9+y/965CX2XpO6neyrc/yLd67lwnV7eWruevZmZOeti4kIZnSPhnRpHFMCf4DKiIiIiO+wLPtwzuaF9p6THSvAcp1+PeACqN0RLk6wy0nFmmf9cQvX7WXwpNX8tQCc2ifyzu2XlkghURkRERHxVccOwdal8OsS+3E4/1WuRNaDiztB3QS4qF2+vSYut0X7F5bm2yPyZw4gOiKY5Y9edd6HbEplBlYRERHxACEVofEN9sPthrS1sGUx/JponwS7f7P9+H4s+IfYdxuucxVcfDVJGVUKLSJgnz67NyObpO0Hia9TpUz+HJURERERb+Z0Qkwz+/GPh+29JtuWwa8ny0nW3pPLi2ERNA+J5gX/+nzrbsJyd2MOUfCEa+lZhReWkqYyIiIi4ktCKkKjXvbDsiB9gz2PydalsGMFIcdS6e2fSm+W4bYc/GzV4lt3Uz51dWSndfp2L1XDCp8pvaSpjIiIiPgqhwOiGtqPtg/A8WO4flvBtKkfcenxn6jv3EVzxzaaO7fxnbsxO62ovHNGWtcq/Ia2JU1lREREpLwICMGv7tVUvr4hXSetpip/0N65lrZ+v7DaXTfvaprRPRqW6Hwjf0dX04iIiJRDnjTPiPaMiIiIlENdGsfQqWF0qc7AWlQqIyIiIuWUn9NRZpfvnk2x7torIiIiUtJURkRERMQolRERERExSmVEREREjFIZEREREaNURkRERMQolRERERExSmVEREREjFIZEREREaNURkRERMQolRERERExyivuTXPqxsKZmZmGk4iIiEhRnfrePvU9XhivKCNZWVkAxMbGGk4iIiIixZWVlUVEREShrzusv6srHsDtdrNnzx7CwsJwOEru1saZmZnExsaya9cuwsPDS+znSunRNvM+2mbeRdvL+3jyNrMsi6ysLKpVq4bTWfiZIV6xZ8TpdFKjRo1S+/nh4eEetwHl7LTNvI+2mXfR9vI+nrrNzrZH5BSdwCoiIiJGqYyIiIiIUeW6jAQFBTF69GiCgoJMR5Ei0jbzPtpm3kXby/v4wjbzihNYRURExHeV6z0jIiIiYp7KiIiIiBilMiIiIiJGqYyIiIiIUeW6jIwdO5a4uDiCg4Np06YNSUlJpiMJMGbMGC677DLCwsKoWrUqvXr1YtOmTfnGZGdnM2TIEKpUqUKFChW48cYbSUtLM5RY/ur555/H4XAwbNiwvHXaZp5l9+7d3H777VSpUoWQkBCaNGnCqlWr8l63LItRo0YRExNDSEgICQkJbNmyxWDi8s3lcjFy5Ehq1apFSEgIderU4Zlnnsl3zxev3mZWOTV16lQrMDDQmjBhgvXLL79YAwcOtCpWrGilpaWZjlbude7c2frwww+tdevWWSkpKVa3bt2smjVrWocPH84bc++991qxsbFWYmKitWrVKuvyyy+32rZtazC1nJKUlGTFxcVZTZs2tYYOHZq3XtvMcxw8eNC66KKLrDvvvNP64YcfrG3btlmLFi2yfv3117wxzz//vBUREWHNmjXLWrNmjXXddddZtWrVso4dO2Ywefn17LPPWlWqVLHmzZtnbd++3fr000+tChUqWK+//nreGG/eZuW2jLRu3doaMmRI3nOXy2VVq1bNGjNmjMFUUpD09HQLsL7++mvLsizr0KFDVkBAgPXpp5/mjdmwYYMFWCtXrjQVUyzLysrKsurWrWstXrzY6tixY14Z0TbzLI8++qjVvn37Ql93u91WdHS09dJLL+WtO3TokBUUFGR98sknZRFR/qJ79+7WXXfdlW/dDTfcYPXt29eyLO/fZuXyME1ubi7JyckkJCTkrXM6nSQkJLBy5UqDyaQgGRkZAFSuXBmA5ORkjh8/nm/71a9fn5o1a2r7GTZkyBC6d++eb9uAtpmnmTNnDq1ateLmm2+matWqtGjRgvHjx+e9vn37dlJTU/Ntr4iICNq0aaPtZUjbtm1JTExk8+bNAKxZs4bly5fTtWtXwPu3mVfcKK+k7d+/H5fLRVRUVL71UVFRbNy40VAqKYjb7WbYsGG0a9eOxo0bA5CamkpgYCAVK1bMNzYqKorU1FQDKQVg6tSprF69mh9//PGM17TNPMu2bdt45513GD58OI8//jg//vgjDz74IIGBgfTv3z9vmxT0GantZcZjjz1GZmYm9evXx8/PD5fLxbPPPkvfvn0BvH6blcsyIt5jyJAhrFu3juXLl5uOImexa9cuhg4dyuLFiwkODjYdR/6G2+2mVatWPPfccwC0aNGCdevWMW7cOPr37284nRRk+vTpTJ48mSlTptCoUSNSUlIYNmwY1apV84ltVi4P00RGRuLn53fGmfxpaWlER0cbSiV/df/99zNv3jy++uoratSokbc+Ojqa3NxcDh06lG+8tp85ycnJpKenc+mll+Lv74+/vz9ff/01b7zxBv7+/kRFRWmbeZCYmBgaNmyYb12DBg3YuXMnQN420Wek53jkkUd47LHHuPXWW2nSpAl33HEHDz30EGPGjAG8f5uVyzISGBhIy5YtSUxMzFvndrtJTEwkPj7eYDIB+/K0+++/n5kzZ7J06VJq1aqV7/WWLVsSEBCQb/tt2rSJnTt3avsZcvXVV7N27VpSUlLyHq1ataJv3755y9pmnqNdu3ZnXC6/efNmLrroIgBq1apFdHR0vu2VmZnJDz/8oO1lyNGjR3E6839l+/n54Xa7AR/YZqbPoDVl6tSpVlBQkPXRRx9Z69evtwYNGmRVrFjRSk1NNR2t3Bs8eLAVERFhLVu2zNq7d2/e4+jRo3lj7r33XqtmzZrW0qVLrVWrVlnx8fFWfHy8wdTyV3++msaytM08SVJSkuXv7289++yz1pYtW6zJkydboaGh1qRJk/LGPP/881bFihWt2bNnWz///LPVs2dPr7lM1Bf179/fql69et6lvZ9//rkVGRlp/fvf/84b483brNyWEcuyrDfffNOqWbOmFRgYaLVu3dr6/vvvTUcSy7KAAh8ffvhh3phjx45Z9913n1WpUiUrNDTUuv766629e/eaCy1n+GsZ0TbzLHPnzrUaN25sBQUFWfXr17fee++9fK+73W5r5MiRVlRUlBUUFGRdffXV1qZNmwyllczMTGvo0KFWzZo1reDgYKt27drWE088YeXk5OSN8eZt5rCsP03fJiIiIlLGyuU5IyIiIuI5VEZERETEKJURERERMUplRERERIxSGRERERGjVEZERETEKJURERERMUplRERERIxSGRERERGjVEZERETEKJURERERMUplRERERIz6fx9ksjBIRKCgAAAAAElFTkSuQmCC", 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", 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i, record in fidelities.iterrows():\n", " plt.axhline(1, color='grey', ls='--')\n", " plt.plot(record['cycle_depths'], record['fidelities'], 'o')\n", " xx = np.linspace(0, np.max(record['cycle_depths']))\n", " plt.plot(xx, exponential_decay(xx, a=record['a'], layer_fid=record['layer_fid']))\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:04:06.987761Z", "iopub.status.busy": "2024-05-31T11:04:06.987462Z", "iopub.status.idle": "2024-05-31T11:04:07.308271Z", "shell.execute_reply": "2024-05-31T11:04:07.307513Z" }, "id": "8c08c9ab8109" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmpfs/tmp/ipykernel_136374/2578408089.py:16: DeprecationWarning: DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n", " fids.groupby('pair').apply(_p)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "\n", "# Give each pair its own color\n", "colors = sns.cubehelix_palette(n_colors=graph.number_of_edges())\n", "colors = dict(zip(graph.edges, colors))\n", "\n", "# Exponential reference\n", "xx = np.linspace(0, fids['cycle_depth'].max())\n", "plt.plot(xx, (1-5e-3)**(4*xx), label=r'Exponential Reference', color='black')\n", "\n", "# Plot each pair\n", "def _p(fids):\n", " q0, q1 = fids.name\n", " plt.plot(fids['cycle_depth'], fids['fidelity'], \n", " 'o-', label=f'{q0}-{q1}', color=colors[fids.name], alpha=0.5)\n", "fids.groupby('pair').apply(_p)\n", "\n", "plt.ylabel('Circuit fidelity')\n", "plt.xlabel('Cycle Depth $d$')\n", "plt.legend(loc='best')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "id": "6025a292d19b" }, "source": [ "## Optimize `PhasedFSimGate` parameters\n", "\n", "We know what circuits we requested, and in this simulated example, we know what coherent error has happened. But in a real experiment, there is likely unknown coherent error that you would like to characterize. Therefore, we make the five angles in `PhasedFSimGate` free parameters and use a classical optimizer to find which set of parameters best describes the data we collected from the noisy simulator (or device, if this was a real experiment)." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:04:07.313530Z", "iopub.status.busy": "2024-05-31T11:04:07.312531Z", "iopub.status.idle": "2024-05-31T11:04:07.450811Z", "shell.execute_reply": "2024-05-31T11:04:07.449972Z" }, "id": "baff45b4ad70" }, "outputs": [], "source": [ "import multiprocessing\n", "pool = multiprocessing.get_context('spawn').Pool()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:04:07.454946Z", "iopub.status.busy": "2024-05-31T11:04:07.454624Z", "iopub.status.idle": "2024-05-31T11:07:42.424501Z", "shell.execute_reply": "2024-05-31T11:07:42.423602Z" }, "id": "a3aaf1dfce4e" }, "outputs": [], "source": [ "from cirq.experiments.xeb_fitting import (\n", " parameterize_circuit, \n", " characterize_phased_fsim_parameters_with_xeb_by_pair, \n", " SqrtISwapXEBOptions,\n", ")\n", "\n", "# Set which angles we want to characterize (all)\n", "options = SqrtISwapXEBOptions(\n", " characterize_theta = True,\n", " characterize_zeta = True,\n", " characterize_chi = True,\n", " characterize_gamma = True,\n", " characterize_phi = True\n", ")\n", "# Parameterize the sqrt(iswap)s in our circuit library\n", "pcircuits = [parameterize_circuit(circuit, options) for circuit in circuit_library]\n", "\n", "# Run the characterization loop\n", "characterization_result = characterize_phased_fsim_parameters_with_xeb_by_pair(\n", " sampled_df,\n", " pcircuits,\n", " cycle_depths,\n", " options,\n", " pool=pool,\n", " # ease tolerance so it converges faster:\n", " fatol=1e-2, \n", " xatol=1e-2\n", ")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:07:42.429131Z", "iopub.status.busy": "2024-05-31T11:07:42.428813Z", "iopub.status.idle": "2024-05-31T11:07:42.434823Z", "shell.execute_reply": "2024-05-31T11:07:42.434114Z" }, "id": "c3961ac4e6c7" }, "outputs": [ { "data": { "text/plain": [ "{(cirq.GridQubit(4, 3), cirq.GridQubit(5, 3)): {'theta': -0.7553008568973946,\n", " 'zeta': 0.02860105307528469,\n", " 'chi': -0.03167220801470414,\n", " 'gamma': 0.030039410131791247,\n", " 'phi': -0.06305159788612147},\n", " (cirq.GridQubit(4, 3), cirq.GridQubit(4, 4)): {'theta': -0.8445214012076677,\n", " 'zeta': -0.09553114434437064,\n", " 'chi': -0.07337215639188673,\n", " 'gamma': 0.05028665308063897,\n", " 'phi': -0.03793315569747539},\n", " (cirq.GridQubit(4, 4), cirq.GridQubit(5, 4)): {'theta': -0.7797930033097091,\n", " 'zeta': 0.026483150775535327,\n", " 'chi': -0.016038899403183565,\n", " 'gamma': 0.01540936416697665,\n", " 'phi': 0.028078825947190314},\n", " (cirq.GridQubit(5, 3), cirq.GridQubit(6, 3)): {'theta': -0.7723775585655032,\n", " 'zeta': -0.01787415944038978,\n", " 'chi': -0.01247963798849597,\n", " 'gamma': -0.0049239431531734315,\n", " 'phi': 0.026964300209869695},\n", " (cirq.GridQubit(5, 3), cirq.GridQubit(5, 4)): {'theta': -0.8400689449776291,\n", " 'zeta': 0.10365862081394217,\n", " 'chi': -0.07276904050299386,\n", " 'gamma': -0.020539762721873283,\n", " 'phi': 0.013108892467780896}}" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "characterization_result.final_params" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:07:42.438346Z", "iopub.status.busy": "2024-05-31T11:07:42.437672Z", "iopub.status.idle": "2024-05-31T11:07:42.451982Z", "shell.execute_reply": "2024-05-31T11:07:42.451354Z" }, "id": "8fea4a364c79" }, "outputs": [ { "data": { "text/html": [ "
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layer_ipair_icycle_depthfidelitypair
01030.949133(q(4, 3), q(5, 3))
110230.599182(q(4, 3), q(5, 3))
210430.448173(q(4, 3), q(5, 3))
310630.278960(q(4, 3), q(5, 3))
410830.150834(q(4, 3), q(5, 3))
02030.917868(q(4, 3), q(4, 4))
120230.708745(q(4, 3), q(4, 4))
220430.578530(q(4, 3), q(4, 4))
320630.224740(q(4, 3), q(4, 4))
420830.162852(q(4, 3), q(4, 4))
00030.933804(q(4, 4), q(5, 4))
100230.634210(q(4, 4), q(5, 4))
200430.413212(q(4, 4), q(5, 4))
300630.268529(q(4, 4), q(5, 4))
400830.171689(q(4, 4), q(5, 4))
00130.919074(q(5, 3), q(6, 3))
101230.626370(q(5, 3), q(6, 3))
201430.412706(q(5, 3), q(6, 3))
301630.252656(q(5, 3), q(6, 3))
401830.147778(q(5, 3), q(6, 3))
03030.949486(q(5, 3), q(5, 4))
130230.690817(q(5, 3), q(5, 4))
230430.418762(q(5, 3), q(5, 4))
330630.329790(q(5, 3), q(5, 4))
430830.128117(q(5, 3), q(5, 4))
\n", "
" ], "text/plain": [ " layer_i pair_i cycle_depth fidelity pair\n", "0 1 0 3 0.949133 (q(4, 3), q(5, 3))\n", "1 1 0 23 0.599182 (q(4, 3), q(5, 3))\n", "2 1 0 43 0.448173 (q(4, 3), q(5, 3))\n", "3 1 0 63 0.278960 (q(4, 3), q(5, 3))\n", "4 1 0 83 0.150834 (q(4, 3), q(5, 3))\n", "0 2 0 3 0.917868 (q(4, 3), q(4, 4))\n", "1 2 0 23 0.708745 (q(4, 3), q(4, 4))\n", "2 2 0 43 0.578530 (q(4, 3), q(4, 4))\n", "3 2 0 63 0.224740 (q(4, 3), q(4, 4))\n", "4 2 0 83 0.162852 (q(4, 3), q(4, 4))\n", "0 0 0 3 0.933804 (q(4, 4), q(5, 4))\n", "1 0 0 23 0.634210 (q(4, 4), q(5, 4))\n", "2 0 0 43 0.413212 (q(4, 4), q(5, 4))\n", "3 0 0 63 0.268529 (q(4, 4), q(5, 4))\n", "4 0 0 83 0.171689 (q(4, 4), q(5, 4))\n", "0 0 1 3 0.919074 (q(5, 3), q(6, 3))\n", "1 0 1 23 0.626370 (q(5, 3), q(6, 3))\n", "2 0 1 43 0.412706 (q(5, 3), q(6, 3))\n", "3 0 1 63 0.252656 (q(5, 3), q(6, 3))\n", "4 0 1 83 0.147778 (q(5, 3), q(6, 3))\n", "0 3 0 3 0.949486 (q(5, 3), q(5, 4))\n", "1 3 0 23 0.690817 (q(5, 3), q(5, 4))\n", "2 3 0 43 0.418762 (q(5, 3), q(5, 4))\n", "3 3 0 63 0.329790 (q(5, 3), q(5, 4))\n", "4 3 0 83 0.128117 (q(5, 3), q(5, 4))" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "characterization_result.fidelities_df" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:07:42.455511Z", "iopub.status.busy": "2024-05-31T11:07:42.454970Z", "iopub.status.idle": "2024-05-31T11:07:42.515401Z", "shell.execute_reply": "2024-05-31T11:07:42.514644Z" }, "id": "86da92e214d6" }, "outputs": [ { "data": { "text/html": [ "
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layer_ipair_ia_0layer_fid_0cycle_depths_0fidelities_0a_std_0layer_fid_std_0a_clayer_fid_ccycle_depths_cfidelities_ca_std_clayer_fid_std_ccharacterized_anglesthetazetachigammaphi
pair
(q(4, 4), q(5, 4))000.9964800.978898[3, 23, 43, 63, 83][0.9368129880277559, 0.6053784561088923, 0.400...0.0050700.0001961.0000000.979560[3, 23, 43, 63, 83][0.9338044427494091, 0.6342096040017192, 0.413...0.0101970.000385{'theta': -0.7797930033097091, 'zeta': 0.02648...-0.7797930.026483-0.0160390.0154090.028079
(q(5, 3), q(6, 3))010.9906630.978630[3, 23, 43, 63, 83][0.9297985133135348, 0.597976105193683, 0.3950...0.0050760.0002000.9912310.979030[3, 23, 43, 63, 83][0.9190743706827791, 0.6263699820206298, 0.412...0.0215560.000836{'theta': -0.7723775585655032, 'zeta': -0.0178...-0.772378-0.017874-0.012480-0.0049240.026964
(q(4, 3), q(5, 3))100.9925400.978979[3, 23, 43, 63, 83][0.9314211154024585, 0.6110503205441057, 0.396...0.0118300.0004591.0000000.979586[3, 23, 43, 63, 83][0.9491326877632463, 0.5991818919706867, 0.448...0.0326880.001231{'theta': -0.7553008568973946, 'zeta': 0.02860...-0.7553010.028601-0.0316720.030039-0.063052
(q(4, 3), q(4, 4))200.9892480.978650[3, 23, 43, 63, 83][0.9301072594323195, 0.5960222794688284, 0.390...0.0049490.0001951.0000000.982065[3, 23, 43, 63, 83][0.9178681424978774, 0.7087447473402921, 0.578...0.1036080.003572{'theta': -0.8445214012076677, 'zeta': -0.0955...-0.844521-0.095531-0.0733720.050287-0.037933
(q(5, 3), q(5, 4))300.9965640.978567[3, 23, 43, 63, 83][0.9375580650834271, 0.5960761175787522, 0.394...0.0075470.0002961.0000000.980739[3, 23, 43, 63, 83][0.9494862672165829, 0.6908167151516276, 0.418...0.0581570.002102{'theta': -0.8400689449776291, 'zeta': 0.10365...-0.8400690.103659-0.072769-0.0205400.013109
\n", "
" ], "text/plain": [ " layer_i pair_i a_0 layer_fid_0 \\\n", "pair \n", "(q(4, 4), q(5, 4)) 0 0 0.996480 0.978898 \n", "(q(5, 3), q(6, 3)) 0 1 0.990663 0.978630 \n", "(q(4, 3), q(5, 3)) 1 0 0.992540 0.978979 \n", "(q(4, 3), q(4, 4)) 2 0 0.989248 0.978650 \n", "(q(5, 3), q(5, 4)) 3 0 0.996564 0.978567 \n", "\n", " cycle_depths_0 \\\n", "pair \n", "(q(4, 4), q(5, 4)) [3, 23, 43, 63, 83] \n", "(q(5, 3), q(6, 3)) [3, 23, 43, 63, 83] \n", "(q(4, 3), q(5, 3)) [3, 23, 43, 63, 83] \n", "(q(4, 3), q(4, 4)) [3, 23, 43, 63, 83] \n", "(q(5, 3), q(5, 4)) [3, 23, 43, 63, 83] \n", "\n", " fidelities_0 \\\n", "pair \n", "(q(4, 4), q(5, 4)) [0.9368129880277559, 0.6053784561088923, 0.400... \n", "(q(5, 3), q(6, 3)) [0.9297985133135348, 0.597976105193683, 0.3950... \n", "(q(4, 3), q(5, 3)) [0.9314211154024585, 0.6110503205441057, 0.396... \n", "(q(4, 3), q(4, 4)) [0.9301072594323195, 0.5960222794688284, 0.390... \n", "(q(5, 3), q(5, 4)) [0.9375580650834271, 0.5960761175787522, 0.394... \n", "\n", " a_std_0 layer_fid_std_0 a_c layer_fid_c \\\n", "pair \n", "(q(4, 4), q(5, 4)) 0.005070 0.000196 1.000000 0.979560 \n", "(q(5, 3), q(6, 3)) 0.005076 0.000200 0.991231 0.979030 \n", "(q(4, 3), q(5, 3)) 0.011830 0.000459 1.000000 0.979586 \n", "(q(4, 3), q(4, 4)) 0.004949 0.000195 1.000000 0.982065 \n", "(q(5, 3), q(5, 4)) 0.007547 0.000296 1.000000 0.980739 \n", "\n", " cycle_depths_c \\\n", "pair \n", "(q(4, 4), q(5, 4)) [3, 23, 43, 63, 83] \n", "(q(5, 3), q(6, 3)) [3, 23, 43, 63, 83] \n", "(q(4, 3), q(5, 3)) [3, 23, 43, 63, 83] \n", "(q(4, 3), q(4, 4)) [3, 23, 43, 63, 83] \n", "(q(5, 3), q(5, 4)) [3, 23, 43, 63, 83] \n", "\n", " fidelities_c \\\n", "pair \n", "(q(4, 4), q(5, 4)) [0.9338044427494091, 0.6342096040017192, 0.413... \n", "(q(5, 3), q(6, 3)) [0.9190743706827791, 0.6263699820206298, 0.412... \n", "(q(4, 3), q(5, 3)) [0.9491326877632463, 0.5991818919706867, 0.448... \n", "(q(4, 3), q(4, 4)) [0.9178681424978774, 0.7087447473402921, 0.578... \n", "(q(5, 3), q(5, 4)) [0.9494862672165829, 0.6908167151516276, 0.418... \n", "\n", " a_std_c layer_fid_std_c \\\n", "pair \n", "(q(4, 4), q(5, 4)) 0.010197 0.000385 \n", "(q(5, 3), q(6, 3)) 0.021556 0.000836 \n", "(q(4, 3), q(5, 3)) 0.032688 0.001231 \n", "(q(4, 3), q(4, 4)) 0.103608 0.003572 \n", "(q(5, 3), q(5, 4)) 0.058157 0.002102 \n", "\n", " characterized_angles \\\n", "pair \n", "(q(4, 4), q(5, 4)) {'theta': -0.7797930033097091, 'zeta': 0.02648... \n", "(q(5, 3), q(6, 3)) {'theta': -0.7723775585655032, 'zeta': -0.0178... \n", "(q(4, 3), q(5, 3)) {'theta': -0.7553008568973946, 'zeta': 0.02860... \n", "(q(4, 3), q(4, 4)) {'theta': -0.8445214012076677, 'zeta': -0.0955... \n", "(q(5, 3), q(5, 4)) {'theta': -0.8400689449776291, 'zeta': 0.10365... \n", "\n", " theta zeta chi gamma phi \n", "pair \n", "(q(4, 4), q(5, 4)) -0.779793 0.026483 -0.016039 0.015409 0.028079 \n", "(q(5, 3), q(6, 3)) -0.772378 -0.017874 -0.012480 -0.004924 0.026964 \n", "(q(4, 3), q(5, 3)) -0.755301 0.028601 -0.031672 0.030039 -0.063052 \n", "(q(4, 3), q(4, 4)) -0.844521 -0.095531 -0.073372 0.050287 -0.037933 \n", "(q(5, 3), q(5, 4)) -0.840069 0.103659 -0.072769 -0.020540 0.013109 " ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from cirq.experiments.xeb_fitting import before_and_after_characterization\n", "before_after_df = before_and_after_characterization(fids, characterization_result)\n", "before_after_df" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2024-05-31T11:07:42.518927Z", "iopub.status.busy": "2024-05-31T11:07:42.518644Z", "iopub.status.idle": "2024-05-31T11:07:43.197230Z", "shell.execute_reply": "2024-05-31T11:07:43.196389Z" }, "id": "583abc4f0c47" }, "outputs": [ { "data": { "image/png": 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", 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", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i, row in before_after_df.iterrows():\n", " plt.axhline(1, color='grey', ls='--')\n", " plt.plot(row['cycle_depths_0'], row['fidelities_0'], '*', color='red')\n", " plt.plot(row['cycle_depths_c'], row['fidelities_c'], 'o', color='blue')\n", "\n", " xx = np.linspace(0, np.max(row['cycle_depths_0']))\n", " plt.plot(xx, exponential_decay(xx, a=row['a_0'], layer_fid=row['layer_fid_0']), \n", " color='red', label=f'f_0 = {row[\"layer_fid_0\"]:.3f}')\n", " plt.plot(xx, exponential_decay(xx, a=row['a_c'], layer_fid=row['layer_fid_c']),\n", " color='blue', label=f'f_c = {row[\"layer_fid_c\"]:.3f}')\n", " \n", " plt.xlabel('Cycle Depth')\n", " plt.ylabel('Fidelity')\n", " plt.legend(loc='best')\n", " plt.tight_layout()\n", " plt.show()" ] } ], "metadata": { "colab": { "name": "parallel_xeb.ipynb", "toc_visible": true }, "kernelspec": { "display_name": "Python 3", "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": "3.10.14" } }, "nbformat": 4, "nbformat_minor": 0 }