{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T09:28:36.089185Z", "iopub.status.busy": "2025-05-30T09:28:36.088814Z", "iopub.status.idle": "2025-05-30T09:28:36.092797Z", "shell.execute_reply": "2025-05-30T09:28:36.092238Z" }, "id": "60d1a836f542" }, "outputs": [], "source": [ "# Copyright 2021 The Cirq Developers\n", "# 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": "ed241e7ca6ee" }, "source": [ "# Heatmaps" ] }, { "cell_type": "markdown", "metadata": { "id": "3fff35054005" }, "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": "markdown", "metadata": { "id": "7d4b5cf32fd2" }, "source": [ "Qubit heatmaps are primarily used for [visualizing calibration metrics](../tutorials/google/visualizing_calibration_metrics.ipynb) but can be used for any custom data. This tutorial shows how you can create a `cirq.Heatmap` for single-qubit data and a `cirq.TwoQubitInteractionHeatmap` for two-qubit data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T09:28:36.095758Z", "iopub.status.busy": "2025-05-30T09:28:36.095344Z", "iopub.status.idle": "2025-05-30T09:28:51.041694Z", "shell.execute_reply": "2025-05-30T09:28:51.040934Z" }, "id": "4e8bfd27ed02" }, "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", "tensorflow-metadata 1.17.1 requires protobuf<4.22,>=4.21.6; python_version < \"3.11\", but you have protobuf 5.29.5 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\n", " print(\"installed cirq.\")\n", " import cirq\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "id": "97b40b3d78a5" }, "source": [ "# Basic usage\n", "Heatmaps maintain an internal state of configuration parameters based on the `kwargs` passed to the constructor, for example: `plot_colorbar=False` to hide the colorbar. For full details on the valid set of parameters, please see the `cirq.Heatmap` reference page.\n", "\n", "The internal state can also be updated after construction by passing a valid set of `kwargs` to `heatmap.update_config(**kwargs)`." ] }, { "cell_type": "markdown", "metadata": { "id": "3f73de4bfaa3" }, "source": [ "## Single-qubit heatmaps" ] }, { "cell_type": "markdown", "metadata": { "id": "ea9f5f13116a" }, "source": [ "You can directly create heatmaps using custom data mapping from a grid qubit tuple (single qubit or qubit pair) to a corresponding float value. \n", "\n", "A single-qubit heatmap example is shown below." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T09:28:51.045586Z", "iopub.status.busy": "2025-05-30T09:28:51.045185Z", "iopub.status.idle": "2025-05-30T09:28:51.205801Z", "shell.execute_reply": "2025-05-30T09:28:51.205164Z" }, "id": "ad8ad19411ef" }, "outputs": [ { "data": { "image/png": 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p5fHvz65Jd9HQA/SefwWgRzj5I2+Pz/zTzPj2F78X/zDpC/F/H/5DzFt6VQw+bNA+76/sVxnPrdsU35j1nXj+uT+mvFr4606b9KZoOucd8a8/+kV87MvfiSc3bolFnzs7hgzsu8/7J73p8Fj6y8fign/+f+O86++J1he2x9c+d3YcVt0/5ZXDvjXUHheXjn9P3PZUc8z470Xx5Pbn4ubJjTGkYt9/o20vvRh3rF0Wn/7F4vjYf90c/+eZ1XH1W8+Jvxt2TMorpzu90uOc1tVb9IjCedGiRTFmzJioqqqK+vr6WLlyZamXRJHO+X/eF/9+W3P8+M5lsf7RjfHVv//X2PXi7pj2qXft8/4nfrU2br38rli25L/jpV0vpbxa+Os+furfxg/+63fxv1c8EutaXogv/dsDsXP3y/GBqW/d5/3/eMfS+N7PHo4nNm6Op1v/GF/89n9ELpeLKeOPSHnlsG8fG3Ni3Lvhl3HfM6tjXfummP/7H8bOjt1x5qhJ+7x/9QvrYtmmR+Lp9s3xzP+8EEv+8N/x1PaWmDj4yJRXDqVX8sJ5yZIl0dTUFHPmzInVq1fHxIkTY9q0abFp06ZSL40D1OeQPvGmSeNi9QMPd44VCoVY/cDDcezfvamEK4Pi9Ckvi7ccURMPPba+c6xQiHjosfUxYdyIRM+oqugTfcrLo61958FaJiTWJ1ce4weNjF8+/2r7XCEK8cvn18Zxg5P9y93xQ4+KI/sfFr/+49MHaZXQc5W8x/mmm26K888/PxobGyMiYvHixfGjH/0obr/99rjiiitKvDoORPWwgVHepzz+2Lqty/gfN22L0eNHlWhVULzBA/pGn/KyeKHtxS7jL7S9GGNqhiR6xuc+eFJs3rajS/ENpTK4ol/0KSuPF3bv6DL+wq4dcWT/w/b7uf59KuNHp1wRFWV9oqOQj+sf+d+x8vl9713hjSGf4psD05onDSUtnHfv3h2rVq2KWbNmdY6VlZVFQ0NDrFixYq/7d+3aFbt27er8ua2tLZV1AhTjvNOOj2mT3xwX/PP3YvfLHaVeDhTtxZd3xyf++1+ib3llHH/oUXHp+PfEM//zQqx+YV2plwapKmnhvGXLlujo6Iiampou4zU1NfHYY4/tdf+8efPimmuuSWt5HKBtW7ZHx8sdMaSmusv4kOHV8ceWraVZFLwOW3f8T7zckY+hg/p1GR86qF88/xcp9F/6ZMOkaJw2Of7+q9+PJ5/ZcjCXCYlt3f1ivJzviKEVA7qMD60cEM/v2r7fzxWiEBtffCEiIp7c/lyM7X9YnDfuZIXzG5gXoBSn5D3OB2LWrFmxbdu2zmvDhg2lXhJ/5uWXXo4nVv3feNupx3WO5XK5eNupx8Ujv3iihCuD4rzckY9H17fGlDeP7hzL5SKmvHl0PPx/n9vv52a+e3L8r/fUx0ULfxCPrncMHT3Hy4WOeKzt2Tj+0KM7x3KRi8mHHhW/3Zq8nSiXy8UhZSXv9oTUlfSvftiwYVFeXh6trV3/H0tra2vU1tbudX9lZWVUVlamtTyK8P/9831x+Z0XxhO/WhuPr3wqPnjpe6Oqf2X8+I4HIyLi8jsvii3PvhC3X3l3ROzZUHjksYdHRMQhFX1i2KhD46iJY+J/duyMZ9e2lOx7wCu+07w6rpk5LR5Zvyl+/3RLfOxdb4u+lYfE/17x+4iI+OLMabFp645Y+MP/ioiImadNjn9439S48o5/j2efb4tD/5RWv7jrpfgfJ8fQA9z99PKYc9yH4tFtG+P32zbGuWNOiL7lFXHfM6sjImLucR+KTbva4mtP/CQiImaOOzke3fZMbHzx+ago6xNvP+zN8Z6Rb4uvPPLDUn4NKImSFs4VFRUxadKkaG5ujrPOOisiIvL5fDQ3N8dFF11UyqVRpJ9+979j8GGDYuY102NI7eBYu+bpuPKML8XWTXs2DA4/YlgU8oXO+w8dOSQW//qGzp8/ctn74yOXvT9+s+z3cdm75qa8etjbT1Y9EUMG9I1/eN/UOHRQv3h84+a46F9+EC9s39OqUTt0YOQLr/5Nf/gdE6LikD5x4wVndnnO1+9bEV//0S9SXTvsywMtv40hFf3jgmMa4tDKgfFE23Nxya/u6NwwWNN3cOTj1b/pvuUVcfmx74/hVdWxq+Ol+EP75pj98HfjgZbfluor0A20ahQnVyj82X/il8CSJUti5syZ8fWvfz2mTJkSCxYsiO9+97vx2GOP7dX7/Jfa2tqiuro6tm3bFoMG7fsFG0m9u+zDr+vz0NM8/5m3l3oJ0K36fGBzqZcA3Wrl6V/uluccSD30yr1nLD0/Dulf0S3z/zUvte+Ofz/91m6p10qt5A1K06dPj82bN8fs2bOjpaUl6urqYunSpX+1aAYAoDgS5+KUvHCOiLjooou0ZgAA0KP1iMIZAID0SJyL84Y6jg4AAEpF4QwAAAlo1QAAyJhCROQjnRaKkh7f1s0kzgAAkIDEGQAgY2wOLI7EGQAAElA4AwBAAlo1AAAyRqtGcSTOAACQgMQZACBjJM7FkTgDAEACEmcAgIyROBdH4gwAAAkonAEAIAGtGgAAGVMo5KKQUgtFWvOkQeIMAAAJSJwBADImH7nIR0qbA1OaJw0SZwAASEDhDAAACWjVAADIGOc4F0fiDAAACUicAQAyxnF0xZE4AwBAAhJnAICM0eNcHIkzAAAkoHAGAKDHWbRoUYwZMyaqqqqivr4+Vq5cud97v//978fkyZNj8ODB0b9//6irq4u77rqryz2FQiFmz54dI0aMiL59+0ZDQ0M8+eSTB7QmhTMAQMa8sjkwretALVmyJJqammLOnDmxevXqmDhxYkybNi02bdq0z/uHDh0aV111VaxYsSIefvjhaGxsjMbGxvjxj3/cec/1118fN998cyxevDgeeuih6N+/f0ybNi127tyZeF0KZwAAepSbbropzj///GhsbIxjjz02Fi9eHP369Yvbb799n/efcsop8cEPfjDe8pa3xFFHHRWXXHJJTJgwIZYvXx4Re9LmBQsWxD/+4z/GBz7wgZgwYUJ861vfimeffTbuvffexOtSOAMAZEzhT5sD07heSZzb2tq6XLt27drn2nbv3h2rVq2KhoaGzrGysrJoaGiIFStWJPhuhWhubo7HH3883vGOd0RExLp166KlpaXLM6urq6O+vj7RMzvXkfhOAAAo0ujRo6O6urrzmjdv3j7v27JlS3R0dERNTU2X8Zqammhpadnv87dt2xYDBgyIioqKeO973xv/8i//Eu9+97sjIjo/d6DP/EuOowMA4KDbsGFDDBo0qPPnysrKbn3+wIEDY82aNbFjx45obm6OpqamGDduXJxyyindNofCGQAgYwoRUSikN1dExKBBg7oUzvszbNiwKC8vj9bW1i7jra2tUVtbu9/PlZWVxdFHHx0REXV1dfHoo4/GvHnz4pRTTun8XGtra4wYMaLLM+vq6hJ/F60aAAD0GBUVFTFp0qRobm7uHMvn89Hc3BxTp05N/Jx8Pt/ZRz127Niora3t8sy2trZ46KGHDuiZEmcAgIzJRy5ykdKbA4uYp6mpKWbOnBmTJ0+OKVOmxIIFC6K9vT0aGxsjImLGjBkxatSozj7pefPmxeTJk+Ooo46KXbt2xf333x933XVX3HLLLRERkcvl4tJLL43rrrsujjnmmBg7dmxcffXVMXLkyDjrrLMSr0vhDABAjzJ9+vTYvHlzzJ49O1paWqKuri6WLl3aublv/fr1UVb2auNEe3t7fPazn42NGzdG3759Y/z48fHtb387pk+f3nnP5ZdfHu3t7XHBBRfE1q1b48QTT4ylS5dGVVVV4nXlCoW0Oly6X1tbW1RXV8e2bdsS9cy8lneXfbibVgU9w/OfeXuplwDdqs8HNpd6CdCtVp7+5W55zoHUQ6/cO+F7l0V5v+7dnLc/HS/uioc/fGO31GulpscZAAASUDgDAEACepwBADImX8hFrpDS5sCU5kmDxBkAABKQOAMAZEyhkOILUN6wx1DsTeIMAAAJKJwBACABrRoAABlTKOSikNKmvbTmSYPEGQAAEpA4AwBkjMS5OBJnAABIQOEMAAAJaNUAAMgYbw4sjsQZAAASkDgDAGSMNwcWR+IMAAAJSJwBADJmT+Kc1nF0qUyTCokzAAAkoHAGAIAEtGoAAGSMNwcWR+IMAAAJSJwBADKm8Kcrrbl6C4kzAAAkoHAGAIAEtGoAAGSMzYHFkTgDAEACEmcAgKyxO7AoEmcAAEhA4gwAkDUp9jiHHmcAAMgWhTMAACSgVQMAIGMKhT1XWnP1FhJnAABIQOIMAJAxXoBSHIkzAAAkoHAGAIAEtGoAAGRNIZfe+cpaNQAAIFskzgAAGeM4uuJInAEAIAGJMwBA1hT+dKU1Vy8hcQYAgAQUzgAAkIBWDQCAjPHmwOJInAEAIAGJMwBAFvWiTXtpkTgDAEACCmcAAEhAqwYAQMbYHFgciTMAACQgcQYAyBpvDiyKxBkAABKQOAMAZE7uT1dac/UOEmcAAEhA4QwAAAlo1QAAyBqbA4sicQYAgAQkzgAAWSNxLorEGQAAElA4AwBAAlo1AACyppDbc6U1Vy8hcQYAgAQkzgAAGVMo7LnSmqu3kDgDAEACEmcAgKxxHF1RJM4AAJCAwhkAABLQqgEAkDWOoyuKxBkAABKQOAMAZEyusOdKa67eQuIMAAAJKJwBACABrRoAAFnjHOeiSJwBACABiTMAQNY4jq4oEmcAAEhA4gwAkDV6nIsicQYAgAQUzgAAkIBWDQCArNGqURSJMwAAJCBxBgDIGolzUSTOAACQgMIZAAAS0KoBAJA13hxYFIkzAAAkIHEGAMiYXGHPldZcvUVRifOMGTPijjvuiLVr13b3egAAoEcqqnCuqKiIefPmxTHHHBOjR4+OT3ziE3HbbbfFk08+2d3rAwCAHqGowvm2226LJ554IjZs2BDXX399DBgwIP7pn/4pxo8fH4cffnh3rxEAgO5USPnqJV7X5sAhQ4bEoYceGkOGDInBgwdHnz594rDDDuuutQEAQI9RVOF85ZVXxtvf/vY49NBD44orroidO3fGFVdcES0tLfHrX/+6u9cIAAAlV1ThPH/+/Fi7dm3MmTMn7rnnnvjnf/7n+MAHPhBDhgzp7vUBAJBBixYtijFjxkRVVVXU19fHypUr93vvrbfeGieddFIMGTIkhgwZEg0NDXvdf95550Uul+tynX766Qe0pqIK51//+tdx1VVXxcqVK+OEE06IUaNGxcc+9rH413/913jiiSeKeSQAACnJxatH0h30q4j1LVmyJJqammLOnDmxevXqmDhxYkybNi02bdq0z/uXLVsWH/3oR+PBBx+MFStWxOjRo+O0006LZ555pst9p59+ejz33HOd17/9278d0LqKKpwnTpwYn/vc5+L73/9+bN68Oe6///6oqKiICy+8MN7ylrcU80gAAIiIiJtuuinOP//8aGxsjGOPPTYWL14c/fr1i9tvv32f93/nO9+Jz372s1FXVxfjx4+P2267LfL5fDQ3N3e5r7KyMmprazuvA+2WKOoFKIVCIX7961/HsmXLYtmyZbF8+fJoa2uLCRMmxMknn1zMIwEA6MXa2tq6/FxZWRmVlZV73bd79+5YtWpVzJo1q3OsrKwsGhoaYsWKFYnmevHFF+Oll16KoUOHdhlftmxZDB8+PIYMGRLvete74rrrrotDDz008XcoqnAeOnRo7NixIyZOnBgnn3xynH/++XHSSSfF4MGDi3lcj/DjZ39T6iVAtyqr/V6plwBAT1XI7bnSmisiRo8e3WV4zpw5MXfu3L1u37JlS3R0dERNTU2X8ZqamnjssccSTfmFL3whRo4cGQ0NDZ1jp59+epx99tkxduzYWLt2bVx55ZVxxhlnxIoVK6K8vDzRc4sqnL/97W/HSSedFIMGDSrm4wAAZMyGDRu61I77Spu7w/z58+Oee+6JZcuWRVVVVef4ueee2/nPxx13XEyYMCGOOuqoWLZsWZx66qmJnl1Uj/N73/vezi++cePG2LhxYzGPAQCgFErwApRBgwZ1ufZXOA8bNizKy8ujtbW1y3hra2vU1ta+5te68cYbY/78+fGTn/wkJkyY8Jr3jhs3LoYNGxZPPfXUa97354oqnPP5fHzxi1+M6urqOPLII+PII4+MwYMHx7XXXhv5fL6YRwIAQFRUVMSkSZO6bOx7ZaPf1KlT9/u566+/Pq699tpYunRpTJ48+a/Os3Hjxnj++edjxIgRiddWVKvGVVddFd/4xjdi/vz5ccIJJ0RExPLly2Pu3Lmxc+fO+NKXvlTMYwEAIJqammLmzJkxefLkmDJlSixYsCDa29ujsbExIiJmzJgRo0aNinnz5kVExFe+8pWYPXt23H333TFmzJhoaWmJiIgBAwbEgAEDYseOHXHNNdfEOeecE7W1tbF27dq4/PLL4+ijj45p06YlXldRhfM3v/nNuO222+L9739/59iECRNi1KhR8dnPflbhDADQk/1ZC0Uqcx2g6dOnx+bNm2P27NnR0tISdXV1sXTp0s4Ng+vXr4+yslcbJ2655ZbYvXt3fOhDH+rynFc2IJaXl8fDDz8c3/zmN2Pr1q0xcuTIOO200+Laa689oF7rogrnF154IcaPH7/X+Pjx4+OFF14o5pEAANDpoosuiosuumifv1u2bFmXn59++unXfFbfvn3jxz/+8eteU9EvQFm4cOFe4wsXLoyJEye+7kUBAHDwpPbWwD9dvUVRifMNN9wQ73nPe+KBBx7obNJesWJFbNiwIe6///5uXSAAAPQEB5w4v/TSS3HNNdfE/fffH2effXZs3bo1tm7dGmeffXY8/vjjcdJJJx2MdQIA0F1KcBxdb3DAifMhhxwSDz/8cIwYMSKuu+66g7EmAADocYrqcf7EJz4R3/jGN7p7LQAA0GMV1eP88ssvx+233x4PPPBATJo0Kfr379/l9zfddFO3LA4AgIOghx9H11MVVTj/7ne/i7/927+NiIgnnniiy+9yudzrXxUAAPQwRRXODz74YHevAwCAlKR5TFxvOo6uqB5nAADIGoUzAAAkUFSrBgAAb2CF3J4rrbl6CYkzAAAkIHEGAMgax9EVReIMAAAJSJwBADLGcXTFkTgDAEACCmcAAEhAqwYAQNbYHFgUiTMAACQgcQYAyJoUNwdKnAEAIGMUzgAAkIBWDQCArLE5sCgSZwAASEDiDACQNRLnokicAQAgAYkzAEDG5FI8ji61Y+9SIHEGAIAEFM4AAJCAwhkAABJQOAMAQAI2BwIAZI3j6IoicQYAgAQUzgAAkIBWDQCAjHGOc3EkzgAAkIDEGQAgi3pREpwWiTMAACQgcQYAyBrH0RVF4gwAAAkonAEAIAGtGgAAGeM4uuJInAEAIAGJMwBA1tgcWBSJMwAAJKBwBgCABLRqAABkjM2BxZE4AwBAAhJnAICssTmwKBJnAABIQOIMAJA1EueiSJwBACABhTMAACSgVQMAIGMcR1cciTMAACQgcQYAyBqbA4sicQYAgAQUzgAAkIBWDQCArNGqURSJMwAAJCBxBgDIGMfRFUfiDAAACSicAQAgAa0aAABZY3NgUSTOAACQgMQZACBjbA4sjsQZAAASkDgDAGSNHueiSJwBACABhTMAACSgVQMAIGu0ahRF4gwAAAlInAEAMib3pyutuXoLiTMAACSgcAYAgAS0agAAZI3NgUWROAMAQAISZwCAjMkV9lxpzdVbSJwBACABiTMAQNbocS6KxBkAABJQOAMAQAJaNQAAsqgXtVCkReIMAAAJSJwBADLGcXTFkTgDAEACCmcAAEhAqwYAQNY4x7koEmcAAEhA4gwAkDE2BxZH4gwAAAlInAEAskaPc1EkzgAA9DiLFi2KMWPGRFVVVdTX18fKlSv3e++tt94aJ510UgwZMiSGDBkSDQ0Ne91fKBRi9uzZMWLEiOjbt280NDTEk08+eUBrUjgDANCjLFmyJJqammLOnDmxevXqmDhxYkybNi02bdq0z/uXLVsWH/3oR+PBBx+MFStWxOjRo+O0006LZ555pvOe66+/Pm6++eZYvHhxPPTQQ9G/f/+YNm1a7Ny5M/G6coVC4Q0boLe1tUV1dXVs27YtBg0a9LqelW95UzetCnqGstonSr0EAFJwIPXQK/dO+NSXo7yiKpX1dezeGQ/ffmVs2LChy/oqKyujsrJyn5+pr6+P448/PhYuXBgREfl8PkaPHh0XX3xxXHHFFX99zo6OGDJkSCxcuDBmzJgRhUIhRo4cGZ///Ofjsssui4iIbdu2RU1NTdx5551x7rnnJvouEmcAAA660aNHR3V1dec1b968fd63e/fuWLVqVTQ0NHSOlZWVRUNDQ6xYsSLRXC+++GK89NJLMXTo0IiIWLduXbS0tHR5ZnV1ddTX1yd+ZoTNgQAA2VOCzYH7Spz3ZcuWLdHR0RE1NTVdxmtqauKxxx5LNOUXvvCFGDlyZGeh3NLS0vmMv3zmK79LQuEMAMBBN2jQoNfdWpvE/Pnz45577olly5ZFVVX3tqNo1QAAoMcYNmxYlJeXR2tra5fx1tbWqK2tfc3P3njjjTF//vz4yU9+EhMmTOgcf+VzxTzzzymcAQCyppDydQAqKipi0qRJ0dzc3DmWz+ejubk5pk6dut/PXX/99XHttdfG0qVLY/LkyV1+N3bs2Kitre3yzLa2tnjooYde85l/SasGAAA9SlNTU8ycOTMmT54cU6ZMiQULFkR7e3s0NjZGRMSMGTNi1KhRnRsMv/KVr8Ts2bPj7rvvjjFjxnT2LQ8YMCAGDBgQuVwuLr300rjuuuvimGOOibFjx8bVV18dI0eOjLPOOivxuhTOAAAZkyvsudKa60BNnz49Nm/eHLNnz46Wlpaoq6uLpUuXdm7uW79+fZSVvdo4ccstt8Tu3bvjQx/6UJfnzJkzJ+bOnRsREZdffnm0t7fHBRdcEFu3bo0TTzwxli5dekB90M5x/hPnONPbOMcZIBuKOcd54sx0z3H+zTev7JZ6rdQkzgAAWVOC4+h6A5sDAQAgAYUzAAAkoFUDACBjcoVC5FLa5pbWPGmQOAMAQAISZwCArLE5sCgSZwAASEDhDAAACWjVAADImJ7+5sCeSuIMAAAJSJwBALLG5sCiSJwBACABiTMAQMbocS6OxBkAABJQOAMAQAJaNQAAssbmwKJInAEAIAGJMwBAxtgcWByJMwAAJKBwBgCABLRqAABkjc2BRZE4AwBAAhJnAIAM6k2b9tIicQYAgAQUznS7r92xNcYdvy76jXkqpr5nfaz89c5En7vn3u1RPuLJ+OB5zx7kFQJAxhUK6V69hMKZbrXkh9vj83O3xNWfHxq/+vHomHBsZZzx0Wdi05aXX/NzT294KS7/4pY4qb4qpZUCAByYkhbOP/vZz+LMM8+MkSNHRi6Xi3vvvbeUy6EbLPj6H+N/fXxQNJ5bHce+uTJuuX549Oubizv+rW2/n+noKMQnL2yJOZcNjbFHHpLiagEAkitp4dze3h4TJ06MRYsWlXIZdJPduwux6uFdcepJ/TrHyspycepJ/WLFqv23a1x70wtx2KHl8emPVaexTADIvFfeHJjW1VuU9FSNM844I84444xSLoFutOWFjujoiKg5rLzLeM1hfeLxp17c52eWP/Q/cfu/tcXq/zgijSUCABTtDXUc3a5du2LXrl2dP7e17f+//qfn274jHzMvbomv3zA8hh1a/tc/AAB0Dy9AKcobqnCeN29eXHPNNaVeBvsxbGh5lJdHtG7u6DLeuvnlqBm+95/a2qdfiqc3vBwfmPnqKRr5/J7/WXH4k/Ho8iPjqDEVB3XNAABJvaFO1Zg1a1Zs27at89qwYUOpl8SfqajIxaQJlfGfy19ty8jnC/Gfy/8npk7a+7SM8UcfEr958IhY/cCr15mn9Y93ntA3Vj9wRIweaaMgANBzvKES58rKyqisrCz1MngNl35mSDRe0hqTJlbFlLqq+Oqtf4z2F/Nx3rmDIiJi5sUtMaq2T3z5qmFRVVUWbx3f9f+eg6v3/LvcX44DAN0nl99zpTVXb/GGKpzp+aZ/YGBseb4j5l7/fLRs7oi6v6mI++8eFTWH7flT2/DMy1H2hvrvOQAA9ihp4bxjx4546qmnOn9et25drFmzJoYOHRpHHOGUhTeqCz81OC781OB9/u4/v3/4a372jq/WHoQVAQBd2BxYlJIWzr/61a/ine98Z+fPTU1NERExc+bMuPPOO0u0KgAA2FtJC+dTTjklCr3o/eUAAPReepwBADImzTf69aY3B9qmBQAACUicAQCyplDYc6U1Vy8hcQYAgAQkzgAAGaPHuTgSZwAASEDhDAAACWjVAADIGm8OLIrEGQAAEpA4AwBkjM2BxZE4AwBAAgpnAABIQKsGAEDWeHNgUSTOAACQgMQZACBjbA4sjsQZAAASkDgDAGSNF6AUReIMAAAJKJwBACABrRoAABljc2BxJM4AAJCAxBkAIGvyhT1XWnP1EhJnAABIQOEMAAAJaNUAAMga5zgXReIMAAAJSJwBADImFykeR5fONKmQOAMAQAISZwCArCkU9lxpzdVLSJwBACABhTMAACSgVQMAIGNyhRQ3B/aeTg2JMwAAJCFxBgDIGi9AKYrEGQAAElA4AwBAAlo1AAAyJlcoRC6l85XTmicNEmcAAEhA4gwAkDX5P11pzdVLSJwBACABiTMAQMbocS6OxBkAABJQOAMAQAJaNQAAssabA4sicQYAgAQkzgAAWVMo7LnSmquXkDgDAEACCmcAAEhAqwYAQMbkCnuutObqLSTOAACQgMQZACBrbA4sisQZAAASkDgDAGRMLr/nSmuu3kLiDAAACSicAQDocRYtWhRjxoyJqqqqqK+vj5UrV+733t///vdxzjnnxJgxYyKXy8WCBQv2umfu3LmRy+W6XOPHjz+gNSmcAQCy5pXNgWldB2jJkiXR1NQUc+bMidWrV8fEiRNj2rRpsWnTpn3e/+KLL8a4ceNi/vz5UVtbu9/n/s3f/E0899xzndfy5csPaF0KZwAAepSbbropzj///GhsbIxjjz02Fi9eHP369Yvbb799n/cff/zxccMNN8S5554blZWV+31unz59ora2tvMaNmzYAa1L4QwAkDWFlK+IaGtr63Lt2rVrn0vbvXt3rFq1KhoaGjrHysrKoqGhIVasWPG6vvaTTz4ZI0eOjHHjxsXHP/7xWL9+/QF9XuEMAMBBN3r06Kiuru685s2bt8/7tmzZEh0dHVFTU9NlvKamJlpaWoqev76+Pu68885YunRp3HLLLbFu3bo46aSTYvv27Ymf4Tg6AAAOug0bNsSgQYM6f36tloqD4Ywzzuj85wkTJkR9fX0ceeSR8d3vfjc+/elPJ3qGwhkAIGNyhULkUnqj3yvzDBo0qEvhvD/Dhg2L8vLyaG1t7TLe2tr6mhv/DtTgwYPjTW96Uzz11FOJP6NVAwCAHqOioiImTZoUzc3NnWP5fD6am5tj6tSp3TbPjh07Yu3atTFixIjEn5E4AwBkTZHHxBU91wFqamqKmTNnxuTJk2PKlCmxYMGCaG9vj8bGxoiImDFjRowaNaqzT3r37t3xyCOPdP7zM888E2vWrIkBAwbE0UcfHRERl112WZx55plx5JFHxrPPPhtz5syJ8vLy+OhHP5p4XQpnAAB6lOnTp8fmzZtj9uzZ0dLSEnV1dbF06dLODYPr16+PsrJXGyeeffbZeNvb3tb584033hg33nhjnHzyybFs2bKIiNi4cWN89KMfjeeffz4OO+ywOPHEE+MXv/hFHHbYYYnXlSsU0vrXje7X1tYW1dXVsW3btkQ9M68l3/KmbloV9AxltU+UegkApOBA6qFX7n3n386KPuVVqazv5Y6d8eDqed1Sr5WaHmcAAEhA4QwAAAnocQYAyJhSHEfXG0icAQAgAYkzAEDWFCLF4+jSmSYNEmcAAEhA4QwAAAlo1QAAyJoe/ubAnkriDAAACUicAQCyJh8RuRTn6iUkzgAAkIDCGQAAEtCqAQCQMd4cWByJMwAAJCBxBgDIGsfRFUXiDAAACUicAQCyRuJcFIkzAAAkoHAGAIAEtGoAAGSNVo2iSJwBACABiTMAQNbkIyKX4ly9hMQZAAASUDgDAEACWjUAADImVyhELqVNe2nNkwaJMwAAJCBxBgDIGsfRFUXiDAAACUicAQCyJl+IyKWUBOclzgAAkCkKZwAASECrBgBA1tgcWBSJMwAAJCBxBgDInBQT55A4AwBApiicAQAgAa0aAABZY3NgUSTOAACQgMQZACBr8oVIbdOeNwcCAEC2SJwBALKmkN9zpTVXLyFxBgCABBTOAACQgFYNAICscRxdUSTOAACQgMQZACBrHEdXFIkzAAAkoHAGAIAEtGoAAGSNzYFFkTgDAEACEmcAgKwpRIqJczrTpEHiDAAACUicAQCyRo9zUSTOAACQgMIZAAAS0KoBAJA1+XxE5FOcq3eQOAMAQAISZwCArLE5sCgSZwAASEDhDAAACWjVAADIGq0aRZE4AwBAAhJnAICsyRciIqUkOC9xBgCATJE4AwBkTKGQj0IhnReTpDVPGiTOAACQgMIZAAAS0KoBAJA1hUJ6m/Z60XF0Cuc/Kat9otRLAACgB1M4AwBkTSHF4+h6UeKsxxkAABJQOAMAQAJaNQAAsiafj8ildL6yc5wBACBbJM4AAFljc2BRJM4AAJCAxBkAIGMK+XwUUupxLuhxBgCAbFE4AwBAAlo1AACyxubAokicAQAgAYkzAEDW5AsROYnzgZI4AwBAAgpnAABIQKsGAEDWFAoRkdL5ylo1AAAgWyTOAAAZU8gXopDS5sCCxBkAALJF4QwAAAlo1QAAyJpCPtLbHJjSPCmQOAMAQAISZwCAjLE5sDgSZwAAepxFixbFmDFjoqqqKurr62PlypX7vff3v/99nHPOOTFmzJjI5XKxYMGC1/3MfVE4AwBkTSGf7nWAlixZEk1NTTFnzpxYvXp1TJw4MaZNmxabNm3a5/0vvvhijBs3LubPnx+1tbXd8sx9UTgDANCj3HTTTXH++edHY2NjHHvssbF48eLo169f3H777fu8//jjj48bbrghzj333KisrOyWZ+7LG7rH+ZWemba2thKvBACgNF6pgw6kl/jleCkipdbjl+OliNi7XqusrNxnkbt79+5YtWpVzJo1q3OsrKwsGhoaYsWKFUWtobue+YYunLdv3x4REaNHjy7xSgAASmv79u1RXV39mvdUVFREbW1tLG+5P6VV7TFgwIC96rU5c+bE3Llz97p3y5Yt0dHRETU1NV3Ga2pq4rHHHitq/u565hu6cB45cmRs2LAhBg4cGLlcrtTLIYG2trYYPXp0bNiwIQYNGlTq5cDr5m+a3sbf9BtPoVCI7du3x8iRI//qvVVVVbFu3brYvXt3Cit7VaFQ2KtW219LRU/2hi6cy8rK4vDDDy/1MijCoEGD/AcyvYq/aXobf9NvLH8taf5zVVVVUVVVdRBX8/oMGzYsysvLo7W1tct4a2vrfjf+pfVMmwMBAOgxKioqYtKkSdHc3Nw5ls/no7m5OaZOnVrSZ76hE2cAAHqfpqammDlzZkyePDmmTJkSCxYsiPb29mhsbIyIiBkzZsSoUaNi3rx5EbFn898jjzzS+c/PPPNMrFmzJgYMGBBHH310omcmoXAmVZWVlTFnzpw3ZF8T7Iu/aXobf9P0BNOnT4/NmzfH7Nmzo6WlJerq6mLp0qWdm/vWr18fZWWvNk48++yz8ba3va3z5xtvvDFuvPHGOPnkk2PZsmWJnplErtCb3oMIAAAHiR5nAABIQOEMAAAJKJwBACABhTMAACSgcCY1ixYtijFjxkRVVVXU19fHypUrS70kKNrPfvazOPPMM2PkyJGRy+Xi3nvvLfWS4HWZN29eHH/88TFw4MAYPnx4nHXWWfH444+XelnQoyicScWSJUuiqakp5syZE6tXr46JEyfGtGnTYtOmTaVeGhSlvb09Jk6cGIsWLSr1UqBb/PSnP40LL7wwfvGLX8R//Md/xEsvvRSnnXZatLe3l3pp0GM4jo5U1NfXx/HHHx8LFy6MiD1v6xk9enRcfPHFccUVV5R4dfD65HK5+MEPfhBnnXVWqZcC3Wbz5s0xfPjw+OlPfxrveMc7Sr0c6BEkzhx0u3fvjlWrVkVDQ0PnWFlZWTQ0NMSKFStKuDIA9mfbtm0RETF06NASrwR6DoUzB92WLVuio6Njrzfz1NTUREtLS4lWBcD+5PP5uPTSS+OEE06It771raVeDvQYXrkNAHRx4YUXxu9+97tYvnx5qZcCPYrCmYNu2LBhUV5eHq2trV3GW1tbo7a2tkSrAmBfLrroorjvvvviZz/7WRx++OGlXg70KFo1OOgqKipi0qRJ0dzc3DmWz+ejubk5pk6dWsKVAfCKQqEQF110UfzgBz+I//zP/4yxY8eWeknQ40icSUVTU1PMnDkzJk+eHFOmTIkFCxZEe3t7NDY2lnppUJQdO3bEU0891fnzunXrYs2aNTF06NA44ogjSrgyKM6FF14Yd999d/zwhz+MgQMHdu5Bqa6ujr59+5Z4ddAzOI6O1CxcuDBuuOGGaGlpibq6urj55pujvr6+1MuCoixbtize+c537jU+c+bMuPPOO9NfELxOuVxun+N33HFHnHfeeekuBnoohTMAACSgxxkAABJQOAMAQAIKZwAASEDhDAAACSicAQAgAYUzAAAkoHAGAIAEFM4AAJCAwhngNZx33nlx1llnlXoZAPQACmcAAEhA4QwAAAkonIFeL5/Px/XXXx9HH310VFZWxhFHHBFf+tKXIiLit7/9bbzrXe+Kvn37xqGHHhoXXHBB7NixY7/PGjNmTCxYsKDLWF1dXcydO7fz51wuF1//+tfjfe97X/Tr1y/e8pa3xIoVK+Kpp56KU045Jfr37x9vf/vbY+3atZ2fmTt3btTV1cVdd90VY8aMierq6jj33HNj+/bt3fq/CwCKp3AGer1Zs2bF/Pnz4+qrr45HHnkk7r777qipqYn29vaYNm1aDBkyJH75y1/G9773vXjggQfioosuet1zXnvttTFjxoxYs2ZNjB8/Pj72sY/FZz7zmZg1a1b86le/ikKhsNc8a9eujXvvvTfuu+++uO++++KnP/1pzJ8//3WvBYDu0afUCwA4mLZv3x5f/epXY+HChTFz5syIiDjqqKPixBNPjFtvvTV27twZ3/rWt6J///4REbFw4cI488wz4ytf+UrU1NQUPW9jY2N85CMfiYiIL3zhCzF16tS4+uqrY9q0aRERcckll0RjY2OXz+Tz+bjzzjtj4MCBERHxyU9+MpqbmzvTcQBKS+IM9GqPPvpo7Nq1K0499dR9/m7ixImdRXNExAknnBD5fD4ef/zx1zXvhAkTOv/5lQL8uOOO6zK2c+fOaGtr6xwbM2ZMZ9EcETFixIjYtGnT61oHAN1H4Qz0an379u3W55WVlUWhUOgy9tJLL+113yGHHNL5z7lcbr9j+Xx+n5955Z4//z0ApaVwBnq1Y445Jvr27RvNzc17/e4tb3lL/OY3v4n29vbOsf/6r/+KsrKyePOb37zP5x122GHx3HPPdf7c1tYW69at6/6FA9DjKJyBXq2qqiq+8IUvxOWXXx7f+ta3Yu3atfGLX/wivvGNb8THP/7xqKqqipkzZ8bvfve7ePDBB+Piiy+OT37yk/vtb37Xu94Vd911V/z85z+P3/72tzFz5swoLy9P+VsBUAo2BwK93tVXXx19+vSJ2bNnx7PPPhsjRoyIv//7v49+/frFj3/847jkkkvi+OOPj379+sU555wTN910036fNWvWrFi3bl28733vi+rq6rj22mslzgAZkSv8ZbMeAACwF60aAACQgMIZAAASUDgDAEACCmcAAEhA4QwAAAkonAEAIAGFMwAAJKBwBgCABBTOAACQgMIZAAASUDgDAEAC/z+JW7sCRiWS2QAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "single_qubit_heatmap = cirq.Heatmap(\n", " {\n", " (cirq.GridQubit(0, 0),): 0.1,\n", " (cirq.GridQubit(0, 1),): 0.2,\n", " (cirq.GridQubit(0, 2),): 0.3,\n", " (cirq.GridQubit(1, 0),): 0.4,\n", " }\n", ")\n", "\n", "_, ax = plt.subplots(figsize=(8, 8))\n", "_ = single_qubit_heatmap.plot(ax);" ] }, { "cell_type": "markdown", "metadata": { "id": "3ad16f5c35db" }, "source": [ "## Two-qubit heatmaps" ] }, { "cell_type": "markdown", "metadata": { "id": "46980614cd3c" }, "source": [ "You can create Two-qubit heatmaps in an analogous manner using tuples of qubit pairs and corresponding (float) data values." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T09:28:51.208928Z", "iopub.status.busy": "2025-05-30T09:28:51.208684Z", "iopub.status.idle": "2025-05-30T09:28:51.401353Z", "shell.execute_reply": "2025-05-30T09:28:51.400715Z" }, "id": "8e612f5d297f" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "two_qubit_interaction_heatmap = cirq.TwoQubitInteractionHeatmap(\n", " {\n", " (cirq.GridQubit(0, 0), cirq.GridQubit(0, 1)): 0.1,\n", " (cirq.GridQubit(0, 1), cirq.GridQubit(0, 2)): 0.2,\n", " (cirq.GridQubit(1, 0), cirq.GridQubit(0, 0)): 0.3,\n", " (cirq.GridQubit(3, 3), cirq.GridQubit(3, 2)): 0.9,\n", " },\n", " annotation_format=\"0.2f\",\n", " title='Example Two-Qubit Heatmap',\n", ")\n", "\n", "_, ax = plt.subplots(figsize=(8, 8))\n", "_ = two_qubit_interaction_heatmap.plot(ax)" ] }, { "cell_type": "markdown", "metadata": { "id": "87d966c05772" }, "source": [ "These types of plots are used for [visualizing two-qubit calibration metrics](../tutorials/google/visualizing_calibration_metrics.ipynb)." ] }, { "cell_type": "markdown", "metadata": { "id": "f8f8b4f93ade" }, "source": [ "# Heatmap configurations\n", "You can also pass a valid set of config parameters to the `heatmap.plot(ax, **kwargs)` function, which would temporarily update the internal config based on the parameter values passed as `kwargs`.\n", "\n", "Below, you can see some examples of useful config parameters for the heatmaps." ] }, { "cell_type": "markdown", "metadata": { "id": "a98c835db769" }, "source": [ "## Colorbar Properties" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T09:28:51.404378Z", "iopub.status.busy": "2025-05-30T09:28:51.404122Z", "iopub.status.idle": "2025-05-30T09:28:51.612100Z", "shell.execute_reply": "2025-05-30T09:28:51.611373Z" }, "id": "b53fa792a37a" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, ax = plt.subplots(figsize=(8, 8))\n", "_ = two_qubit_interaction_heatmap.plot(\n", " ax,\n", " title='Heatmap with modified Colorbar',\n", " plot_colorbar=True,\n", " colorbar_position='top',\n", " colorbar_size='10%',\n", " colorbar_pad='10%',\n", " colorbar_options={'drawedges': True},\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "9c8b1e8d47c1" }, "source": [ "## Colormap properties" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T09:28:51.614917Z", "iopub.status.busy": "2025-05-30T09:28:51.614674Z", "iopub.status.idle": "2025-05-30T09:28:51.794429Z", "shell.execute_reply": "2025-05-30T09:28:51.793700Z" }, "id": "119fbd396d41" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, ax = plt.subplots(figsize=(8, 8))\n", "_ = two_qubit_interaction_heatmap.plot(\n", " ax,\n", " title='Heatmap with modified Colormap',\n", " vmin=0.1,\n", " vmax=0.4,\n", " collection_options={'cmap': 'plasma'},\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "459396bf621b" }, "source": [ "## Annotation text properties" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T09:28:51.797256Z", "iopub.status.busy": "2025-05-30T09:28:51.796998Z", "iopub.status.idle": "2025-05-30T09:28:51.989639Z", "shell.execute_reply": "2025-05-30T09:28:51.988980Z" }, "id": "de989ba0c37f" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, ax = plt.subplots(figsize=(8, 8))\n", "_ = two_qubit_interaction_heatmap.plot(\n", " ax,\n", " title='Heatmap with modified Annotation Text',\n", " annotation_format='.1E',\n", " annotation_text_kwargs={'family': 'monospace', 'size': 'large', 'weight': 'bold'},\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "0cda052504d5" }, "source": [ "## PolyCollection properties\n", "You can modify the properties of the polygons representing the single qubit vertices / two-qubit interaction edges by passing keyword arguments to `collection_options`, which will get forwarded as `**kwargs` to `matplotlib.collections.PolyCollection`.\n", "\n", "For example: You can specify a color or a list of colors (corresponding to each polygon) as the value for key `edgecolors` to modify the edge colors of the polygons." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T09:28:51.992524Z", "iopub.status.busy": "2025-05-30T09:28:51.992281Z", "iopub.status.idle": "2025-05-30T09:28:52.186532Z", "shell.execute_reply": "2025-05-30T09:28:52.185894Z" }, "id": "b0ba4868305f" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, ax = plt.subplots(figsize=(8, 8))\n", "_ = two_qubit_interaction_heatmap.plot(\n", " ax,\n", " title='Heatmap with modified PolyCollection',\n", " collection_options={'edgecolors': ('red', 'blue', 'blue', 'red'), 'linewidths': 5},\n", ")" ] } ], "metadata": { "colab": { "name": "heatmaps.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": "3.10.17" } }, "nbformat": 4, "nbformat_minor": 0 }