From 6179c0d0fd553c902d69f2b152eb5c4b2e8ca08c Mon Sep 17 00:00:00 2001 From: Weilei Zeng at qlab01 Date: Fri, 26 Apr 2024 17:42:10 +0800 Subject: [PATCH] minor update --- plot.ipynb | 476 +++++++++++++++++++++++++++++++++-------------------- 1 file changed, 302 insertions(+), 174 deletions(-) diff --git a/plot.ipynb b/plot.ipynb index b47fdd6..87f16eb 100644 --- a/plot.ipynb +++ b/plot.ipynb @@ -27,7 +27,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "edb89d8a-3a4e-4567-8158-9ba70dd33bd9", "metadata": {}, "outputs": [], @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "37013f92-691a-4061-b331-2a961b4dd2a4", "metadata": {}, "outputs": [], @@ -50,7 +50,14 @@ "plt.rcParams.update({\"text.usetex\": True})\n", "#plt.rcParams.update({\"text.usetex\": False})\n", "plt.rcParams[\"figure.figsize\"] = (5,3.2)\n", - "#plt.figure(figsize=(4,2.4))" + "#plt.figure(figsize=(4,2.4))\n", + "plt.rcParams[\"font.family\"] = \"Times New Roman\"\n", + "\n", + "plt.rcParams[\"axes.titlesize\"]=\"x-large\"\n", + "plt.rcParams[\"axes.labelsize\"]=\"x-large\"\n", + "#axes.titlesize : large # fontsize of the axes title\n", + "#axes.labelsize : medium # fontsize of the x any y labels\n", + "# Valid font sizes are xx-small, x-small, small, medium, large, x-large, xx-large, smaller, larger." ] }, { @@ -61,9 +68,13 @@ "outputs": [], "source": [ "#result_folder='result/unchecked/' #simulation result for random window decoder\n", - "result_folder='result/min_weight/' #simulation result for syndromeb table decoding\n", - "result_folder='result/min_weight_new_range/' # p start from 0.2 instead from 0.1\n", - "fig_folder='result/fig/' #folder to save figs" + "#result_folder='result/min_weight' #simulation result for syndrome table decoding\n", + "#result_folder='result/min_weight_new_range' # p start from 0.2 instead from 0.1\n", + "result_folder='result/min_weight_logical/' #check logical error for zero syndrome\n", + "result_folder='result/two_cycles/' #decode again\n", + "#fig_folder='result/fig/' #folder to save figs\n", + "#fig_folder='result/fig/logical/' \n", + "fig_folder='result/fig/two_cycles/' " ] }, { @@ -76,7 +87,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 49, "id": "e6519114-3739-41d1-82b1-e8eabdd80973", "metadata": {}, "outputs": [ @@ -107,20 +118,20 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "id": "61d99599-20c7-4b61-945e-a1996597a5f1", "metadata": {}, "outputs": [ { "ename": "FileNotFoundError", - "evalue": "[Errno 2] No such file or directory: 'result/min_weight_new_range//n7k1d3-x3z3dx3dz3-0.json'", + "evalue": "[Errno 2] No such file or directory: 'result/min_weight_logical//n7k1d3-x3z3dx3dz3-0.json'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn [7], line 5\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;66;03m#sample data structure\u001b[39;00m\n\u001b[1;32m 2\u001b[0m \n\u001b[1;32m 3\u001b[0m \u001b[38;5;66;03m#result_folder='result/unchecked/'\u001b[39;00m\n\u001b[1;32m 4\u001b[0m \u001b[38;5;66;03m#data = json.load(open('result/steane.json'))\u001b[39;00m\n\u001b[0;32m----> 5\u001b[0m data \u001b[38;5;241m=\u001b[39m json\u001b[38;5;241m.\u001b[39mload(\u001b[38;5;28;43mopen\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mresult_folder\u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43m/n7k1d3-x3z3dx3dz3-0.json\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 6\u001b[0m \u001b[38;5;66;03m#data['data_map']\u001b[39;00m\n\u001b[1;32m 7\u001b[0m data\n", + "Cell \u001b[0;32mIn [6], line 5\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;66;03m#sample data structure\u001b[39;00m\n\u001b[1;32m 2\u001b[0m \n\u001b[1;32m 3\u001b[0m \u001b[38;5;66;03m#result_folder='result/unchecked/'\u001b[39;00m\n\u001b[1;32m 4\u001b[0m \u001b[38;5;66;03m#data = json.load(open('result/steane.json'))\u001b[39;00m\n\u001b[0;32m----> 5\u001b[0m data \u001b[38;5;241m=\u001b[39m json\u001b[38;5;241m.\u001b[39mload(\u001b[38;5;28;43mopen\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mresult_folder\u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43m/n7k1d3-x3z3dx3dz3-0.json\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 6\u001b[0m \u001b[38;5;66;03m#data['data_map']\u001b[39;00m\n\u001b[1;32m 7\u001b[0m data\n", "File \u001b[0;32m/opt/conda/lib/python3.10/site-packages/IPython/core/interactiveshell.py:282\u001b[0m, in \u001b[0;36m_modified_open\u001b[0;34m(file, *args, **kwargs)\u001b[0m\n\u001b[1;32m 275\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m file \u001b[38;5;129;01min\u001b[39;00m {\u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m2\u001b[39m}:\n\u001b[1;32m 276\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 277\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mIPython won\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mt let you open fd=\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mfile\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m by default \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 278\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mas it is likely to crash IPython. If you know what you are doing, \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 279\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124myou can use builtins\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m open.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 280\u001b[0m )\n\u001b[0;32m--> 282\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mio_open\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfile\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", - "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'result/min_weight_new_range//n7k1d3-x3z3dx3dz3-0.json'" + "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'result/min_weight_logical//n7k1d3-x3z3dx3dz3-0.json'" ] } ], @@ -136,22 +147,10 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 5, "id": "769d639c-77d9-4f95-95a5-305ecda85621", "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'data' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn [8], line 11\u001b[0m\n\u001b[1;32m 9\u001b[0m p_block\u001b[38;5;241m.\u001b[39mappend(pair[\u001b[38;5;241m1\u001b[39m])\n\u001b[1;32m 10\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m p_qubit,p_block\n\u001b[0;32m---> 11\u001b[0m p_qubit,p_block \u001b[38;5;241m=\u001b[39m data2plot(\u001b[43mdata\u001b[49m[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mdata_map\u001b[39m\u001b[38;5;124m'\u001b[39m])\n", - "\u001b[0;31mNameError\u001b[0m: name 'data' is not defined" - ] - } - ], + "outputs": [], "source": [ "#extract (x,y) data for plotting\n", "def data2plot(data_columns):\n", @@ -163,7 +162,7 @@ " p_qubit.append(pair[0])\n", " p_block.append(pair[1])\n", " return p_qubit,p_block\n", - "p_qubit,p_block = data2plot(data['data_map'])" + "#p_qubit,p_block = data2plot(data['data_map'])" ] }, { @@ -173,20 +172,18 @@ "metadata": {}, "outputs": [ { - "ename": "FileNotFoundError", - "evalue": "[Errno 2] No such file or directory: 'result/min_weight_new_range//steane.json'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn [9], line 4\u001b[0m\n\u001b[1;32m 1\u001b[0m plt\u001b[38;5;241m.\u001b[39mtitle(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mSteane Codes\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m 2\u001b[0m plt\u001b[38;5;241m.\u001b[39myscale(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlog\u001b[39m\u001b[38;5;124m'\u001b[39m),plt\u001b[38;5;241m.\u001b[39mxscale(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlog\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m----> 4\u001b[0m data \u001b[38;5;241m=\u001b[39m json\u001b[38;5;241m.\u001b[39mload(\u001b[38;5;28;43mopen\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mresult_folder\u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43m/steane.json\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 5\u001b[0m p_qubit,p_block \u001b[38;5;241m=\u001b[39m data2plot(data[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mdata_map\u001b[39m\u001b[38;5;124m'\u001b[39m])\n\u001b[1;32m 6\u001b[0m plt\u001b[38;5;241m.\u001b[39mplot(p_qubit,p_block,label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mSteane\u001b[39m\u001b[38;5;124m'\u001b[39m)\n", - "File \u001b[0;32m/opt/conda/lib/python3.10/site-packages/IPython/core/interactiveshell.py:282\u001b[0m, in \u001b[0;36m_modified_open\u001b[0;34m(file, *args, **kwargs)\u001b[0m\n\u001b[1;32m 275\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m file \u001b[38;5;129;01min\u001b[39;00m {\u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m2\u001b[39m}:\n\u001b[1;32m 276\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 277\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mIPython won\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mt let you open fd=\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mfile\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m by default \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 278\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mas it is likely to crash IPython. If you know what you are doing, \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 279\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124myou can use builtins\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m open.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 280\u001b[0m )\n\u001b[0;32m--> 282\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mio_open\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfile\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", - "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'result/min_weight_new_range//steane.json'" - ] + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" }, { "data": { - "image/png": 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DnNT/KQBkdp/976Q966Ctra1d+fi3R11FUcRgMIiIiEajIWIAD3Sf/e+kPftTjlcZDAbRbDYvPdZsNmM4HMbq6mr8/vvv48dbrdZTjweQ1k3730l71kdo17nuCOzk5CTKsoyDg4MYDAZRVVX89ttvTzscQGI37X8jvgTv67g95kFFyqBd5+IHvbGxMd1BAObMxf63LMsoy3Iir5HylGOj0Rj/38CFk5OTia2sAeCLae5/Uwbtuvqvrq4+8SQA82Wa+980Qfv6vG1RFJe+VlVVrK6uOkIDmIBZ2f8+68/QBoNB9Pv9iIh4//59tNvt8VLSbrcbnU5nfLfVp/gdCIB5MYv7X1fbByCFNKccAZhvggZACoIGQAqCBkAKggZACoIGQAqCBkAKggZACoIGQAqCBkAKggZACv8Hzzn5CxXqJkUAAAAASUVORK5CYII=\n", + "image/png": 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\n", 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" ] @@ -216,23 +213,25 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 9, "id": "05af680b-6386-4bf5-8c0e-692dac6d0b37", "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" + "ename": "FileNotFoundError", + "evalue": "[Errno 2] No such file or directory: 'result/min_weight_new_range//steane.json'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn [9], line 4\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;66;03m# Figure 1: compare steane and generated steane\u001b[39;00m\n\u001b[1;32m 2\u001b[0m plt\u001b[38;5;241m.\u001b[39myscale(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlog\u001b[39m\u001b[38;5;124m'\u001b[39m),plt\u001b[38;5;241m.\u001b[39mxscale(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlog\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m----> 4\u001b[0m data \u001b[38;5;241m=\u001b[39m json\u001b[38;5;241m.\u001b[39mload(\u001b[38;5;28;43mopen\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mresult_folder\u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43m/steane.json\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 5\u001b[0m p_qubit,p_block \u001b[38;5;241m=\u001b[39m data2plot(data[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mdata_map\u001b[39m\u001b[38;5;124m'\u001b[39m])\n\u001b[1;32m 6\u001b[0m plt\u001b[38;5;241m.\u001b[39mplot(p_qubit,p_block,label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mStandard Steane\u001b[39m\u001b[38;5;124m'\u001b[39m)\n", + "File \u001b[0;32m/opt/conda/lib/python3.10/site-packages/IPython/core/interactiveshell.py:282\u001b[0m, in \u001b[0;36m_modified_open\u001b[0;34m(file, *args, **kwargs)\u001b[0m\n\u001b[1;32m 275\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m file \u001b[38;5;129;01min\u001b[39;00m {\u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m2\u001b[39m}:\n\u001b[1;32m 276\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 277\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mIPython won\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mt let you open fd=\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mfile\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m by default \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 278\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mas it is likely to crash IPython. If you know what you are doing, \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 279\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124myou can use builtins\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m open.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 280\u001b[0m )\n\u001b[0;32m--> 282\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mio_open\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfile\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'result/min_weight_new_range//steane.json'" + ] }, { "data": { - "image/png": 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\n", + "image/png": 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"text/plain": [ "
" ] @@ -291,24 +290,23 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 31, "id": "3fd93984-a1bf-4fb9-9222-d2198dbdeb8f", "metadata": {}, "outputs": [ { - "ename": "NameError", - "evalue": "name 'plt' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn [1], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mplt\u001b[49m\u001b[38;5;241m.\u001b[39mtitle(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mcompare $k=1, d=3,4,5$\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m 2\u001b[0m plt\u001b[38;5;241m.\u001b[39myscale(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlog\u001b[39m\u001b[38;5;124m'\u001b[39m),plt\u001b[38;5;241m.\u001b[39mxscale(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlog\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m 4\u001b[0m data 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "plt.title('compare $k=1, d=3,4,5$')\n", + "plt.title('(a) $k=1, d=3,4,5$')\n", "plt.yscale('log'),plt.xscale('log')\n", "\n", "data = json.load(open('result/unchecked//n7k1d3-x3z3dx3dz3-0.json'))\n", @@ -324,15 +322,14 @@ "plt.plot(p_qubit,p_block,label='$[[25,1,5]]$')\n", "\n", "h = np.array(p_qubit)\n", - "plt.plot(h, h, '--',label='$y=x$')\n", - "\n", + "plt.plot(h, h, '--',label='$p_L=p$')\n", "\n", - "p_threshold=0.0635\n", - "plt.axvline(x = p_threshold, color = 'y', label = '$p='+str(p_threshold))+'$'\n", - "p_threshold=0.09\n", - "plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", "\n", - "plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", + "p_threshold=0.064\n", + "plt.axvline(x = p_threshold, color = 'y', linestyle=':', label = '$p='+ str(p_threshold) +'$')\n", + "p_threshold=0.090\n", + "plt.axvline(x = p_threshold, color = 'g',linestyle=':', label = '$p='+ str(p_threshold) +'$')\n", + "plt.xlabel('Physical error rate $p$'), plt.ylabel('Logical error rate $p_L$')\n", "plt.legend()\n", "plt.savefig(fig_folder+'k1d3d4d5.pdf',dpi=300, bbox_inches = \"tight\")" ] @@ -356,13 +353,13 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 32, "id": "8085679e-9aa7-4bc2-be4f-74913b4220cd", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -372,7 +369,7 @@ } ], "source": [ - "plt.title('compare $k=2,d=3,4,5$')\n", + "plt.title('(b) $k=2,d=3,4,5$')\n", "plt.yscale('log'),plt.xscale('log')\n", "\n", "data = json.load(open('result/unchecked/n11k2d3-x4z5dx3dz3-0.json'))\n", @@ -388,15 +385,14 @@ "plt.plot(p_qubit,p_block,label='$[[27,2,5]]$')\n", "\n", "h = np.array(p_qubit)\n", - "plt.plot(h, h, '--',label='$y=x$')\n", - "\n", + "plt.plot(h, h, '--',label='$p_L=p$')\n", "\n", "p_threshold=0.057\n", - "plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", + "plt.axvline(x = p_threshold, color = 'y', linestyle=':', label = '$p='+ str(p_threshold) +'$')\n", "p_threshold=0.03\n", - "plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", - "\n", - "plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", + "plt.axvline(x = p_threshold, color = 'g', linestyle=':', label = '$p='+ str(p_threshold) +'$')\n", + "plt.xlabel('Physical error rate $p$'), plt.ylabel('Logical error rate $p_L$')\n", + "#plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", "plt.legend()\n", "plt.savefig(fig_folder+'k2d3d4d5.pdf',dpi=300, bbox_inches = \"tight\")" ] @@ -412,32 +408,26 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 76, "id": "e7de9557-75f4-4d3a-853c-21a1dee9a4f4", "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "e_try= 10000 , label= k2d3\n", - "e_try= 100000 , label= k2d4\n", - "e_try= 100000 , label= k2d5\n" + "ename": "FileNotFoundError", + "evalue": "[Errno 2] No such file or directory: 'result/unchecked/n11k2d3-x4z5dx3dz3-1.json'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn [76], line 4\u001b[0m\n\u001b[1;32m 1\u001b[0m plt\u001b[38;5;241m.\u001b[39mtitle(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m$k=2,d=3,4,5$\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m 2\u001b[0m plt\u001b[38;5;241m.\u001b[39myscale(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlog\u001b[39m\u001b[38;5;124m'\u001b[39m),plt\u001b[38;5;241m.\u001b[39mxscale(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlog\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m----> 4\u001b[0m \u001b[43mplot_code_kd\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m2\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m3\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m 5\u001b[0m plot_code_kd(\u001b[38;5;241m2\u001b[39m,\u001b[38;5;241m4\u001b[39m)\n\u001b[1;32m 6\u001b[0m plot_code_kd(\u001b[38;5;241m2\u001b[39m,\u001b[38;5;241m5\u001b[39m)\n", + "Cell \u001b[0;32mIn [62], line 44\u001b[0m, in \u001b[0;36mplot_code_kd\u001b[0;34m(ka, da)\u001b[0m\n\u001b[1;32m 42\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mplot_code_kd\u001b[39m(ka,da): \n\u001b[1;32m 43\u001b[0m filename\u001b[38;5;241m=\u001b[39mresult_folder\u001b[38;5;241m+\u001b[39mcodes[ka][da]\u001b[38;5;241m+\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m.json\u001b[39m\u001b[38;5;124m'\u001b[39m\n\u001b[0;32m---> 44\u001b[0m data \u001b[38;5;241m=\u001b[39m json\u001b[38;5;241m.\u001b[39mload(\u001b[38;5;28;43mopen\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mfilename\u001b[49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 45\u001b[0m p_qubit,p_block \u001b[38;5;241m=\u001b[39m data2plot(data[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mdata_map\u001b[39m\u001b[38;5;124m'\u001b[39m])\n\u001b[1;32m 47\u001b[0m label\u001b[38;5;241m=\u001b[39mcode2label(codes[ka][da])\n", + "File \u001b[0;32m/opt/conda/lib/python3.10/site-packages/IPython/core/interactiveshell.py:282\u001b[0m, in \u001b[0;36m_modified_open\u001b[0;34m(file, *args, **kwargs)\u001b[0m\n\u001b[1;32m 275\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m file \u001b[38;5;129;01min\u001b[39;00m {\u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m2\u001b[39m}:\n\u001b[1;32m 276\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 277\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mIPython won\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mt let you open fd=\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mfile\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m by default \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 278\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mas it is likely to crash IPython. If you know what you are doing, \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 279\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124myou can use builtins\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m open.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 280\u001b[0m )\n\u001b[0;32m--> 282\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mio_open\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfile\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'result/unchecked/n11k2d3-x4z5dx3dz3-1.json'" ] }, { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", + "image/png": 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qVbRarRgMBpd+mNP6TQEgs7vsf6dtoYO2vb195fJvZ13VajWKooiIiEqlImIAE7rL/nfaFv6Q41WKoojV1dVLy1ZXV6Pb7cbm5mZ8+vRpvHx9ff2hhweQ1vf2v9O20DO061w3A+v3+1Gv1+Pk5CSKooiyLOPt27cPOziAxL63/434GryLcbvPSUXKoF1n9IPe3d2d7UAAHpnR/rder0e9Xp/KNlIecqxUKuPfBkb6/f7UrqwB4KtZ7n9TBu26+m9ubj7wSAAel1nuf9ME7eJx22q1eunvyrKMzc1NMzSAKZiX/e9Cn0MriiI6nU5EROzv70etVhtfStpqtaLRaIw/bfUh7oEAeCzmcf/rafsApJDmkCMAj5ugAZCCoAGQgqABkIKgAZCCoAGQgqABkIKgAZCCoAGQgqABkIKgAZDC/wHLcGrr9se2mgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] @@ -447,7 +437,7 @@ } ], "source": [ - "plt.title('compare $k=2,d=3,4,5$')\n", + "plt.title('$k=2,d=3,4,5$')\n", "plt.yscale('log'),plt.xscale('log')\n", "\n", "plot_code_kd(2,3)\n", @@ -462,8 +452,8 @@ "plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", "p_threshold=0.03\n", "plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", - "\n", - "plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", + "plt.xlabel('Physical error rate $p$'), plt.ylabel('Logical error rate $p_L$')\n", + "#plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", "plt.legend()" ] }, @@ -477,7 +467,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 35, "id": "4e4fd6cf-a962-46a9-9a55-09ce2868aa80", "metadata": {}, "outputs": [ @@ -485,14 +475,17 @@ "name": "stdout", "output_type": "stream", "text": [ - "e_try= 100000 , label= k3d3\n", - "e_try= 100000 , label= k3d4\n", - "e_try= 100000 , label= k3d5\n" + "11 3 3\n", + "e_try= 100000 , label= $[[11,3,3]]$\n", + "19 3 4\n", + "e_try= 100000 , label= $[[19,3,4]]$\n", + "29 3 5\n", + "e_try= 100000 , label= $[[29,3,5]]$\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -502,7 +495,7 @@ } ], "source": [ - "plt.title('compare $k=3,d=3,4,5$')\n", + "plt.title('(c) $k=3,d=3,4,5$')\n", "plt.yscale('log'),plt.xscale('log')\n", "\n", "plot_code_kd(3,3)\n", @@ -510,15 +503,16 @@ "plot_code_kd(3,5)\n", "\n", "h = np.array(p_qubit)\n", - "plt.plot(h, h, '--',label='$y=x$')\n", + "plt.plot(h, h, '--',label='$p_L=p$')\n", "\n", "\n", - "p_threshold=0.057\n", - "plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", - "p_threshold=0.03\n", - "plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", - "\n", - "plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", + "p_threshold=0.044\n", + "plt.axvline(x = p_threshold, color = 'y', linestyle=':', label = '$p='+ str(p_threshold) +'$')\n", + "p_threshold=0.026\n", + "plt.axvline(x = p_threshold, color = 'g', linestyle=':', label = '$p='+ str(p_threshold) +'$')\n", + "p_threshold=0.023\n", + "plt.axvline(x = p_threshold, color = 'b', linestyle=':', label = '$p='+ str(p_threshold) +'$')\n", + "plt.xlabel('Physical error rate $p$'), plt.ylabel('Logical error rate $p_L$')\n", "plt.legend()\n", "plt.savefig(fig_folder+'k3d3d4d5.pdf',dpi=300, bbox_inches = \"tight\")" ] @@ -535,18 +529,40 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 6, "id": "ad8413f0-ab11-4129-b3f4-7fc65cbdf11a", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7 1 3\n" + ] + } + ], "source": [ "# define codes with k=1 and k=2\n", "#result_folder='result/unchecked/' #move to top of file\n", "code1='NA NA NA n7k1d3-x3z3dx3dz3-0 n15k1d4-x8z6dx4dz4-0 n25k1d5-x13z11dx5dz5-0'.split()\n", - "code2='NA NA NA n11k2d3-x4z5dx3dz3-0 n18k2d4-x8z8dx4dz4-0 n27k2d5-x13z12dx5dz5-0'.split()\n", + "#code2='NA NA NA n11k2d3-x4z5dx3dz3-0 n18k2d4-x8z8dx4dz4-0 n27k2d5-x13z12dx5dz5-0'.split()\n", "code2='NA NA NA n11k2d3-x4z5dx3dz3-1 n18k2d4-x8z8dx4dz4-1 n27k2d5-x13z12dx5dz5-1'.split()\n", "code3='NA NA NA n11k3d3-x4z4dx3dz3-0 n19k3d4-x9z7dx4dz4-0 n29k3d5-x13z13dx5dz5-0'.split()\n", "codes=[None,code1,code2,code3]\n", + "\n", + "def code2label(code):\n", + " #n7k1d3-x3z3dx3dz3-0 to [[7,1,3]]\n", + " s=code.split('-')[0]\n", + " s=s.split('n')\n", + " s=s[1].split('k')\n", + " n=s[0]\n", + " k,d=s[1].split('d')\n", + " print(n,k,d)\n", + " return f'[[{n},{k},{d}]]'\n", + "c='n7k1d3-x3z3dx3dz3-0'\n", + "code2label(c)\n", + "\n", + " \n", "def plot_json(codename,label='new curve'):\n", " folder=result_folder\n", " match codename:\n", @@ -572,7 +588,9 @@ " data = json.load(open(filename))\n", " p_qubit,p_block = data2plot(data['data_map'])\n", " \n", - " label=''.join(str(_) for _ in ['k',ka,'d',da])\n", + " label=code2label(codes[ka][da])\n", + " label=f'${label}$'\n", + "# label=''.join(str(_) for _ in ['k',ka,'d',da])\n", " plt.plot(p_qubit,p_block,label=label)\n", " print('e_try=', data['e_try'],', label=',label)\n", " if data['e_try'] < 10000:\n", @@ -582,8 +600,9 @@ "def plot_code_kdkd(ka,da,kb,db):\n", " filename=result_folder+codes[ka][da]+'_'+codes[kb][db]+'.json'\n", " data = json.load(open(filename))\n", - " p_qubit,p_block = data2plot(data['data_map']) \n", - " label=''.join(str(_) for _ in [ka,da,'-',kb,db])\n", + " p_qubit,p_block = data2plot(data['data_map']) \n", + " label='$'+code2label(codes[ka][da]) + ' \\\\times ' + code2label(codes[kb][db])+'$'\n", + "# label=''.join(str(_) for _ in [ka,da,'-',kb,db])\n", " plt.plot(p_qubit,p_block,label=label)\n", " print('e_try=', data['e_try'],', label=',label)\n", " if data['e_try'] < 10000:\n", @@ -599,6 +618,24 @@ " plt.plot(p_qubit,p_block,label='L={}'.format(L))" ] }, + { + "cell_type": "code", + "execution_count": 98, + "id": "9598c374-eb4c-4c7d-8431-640b77799eae", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\\times\n" + ] + } + ], + "source": [ + "print('\\\\times')" + ] + }, { "cell_type": "code", "execution_count": 20, @@ -973,6 +1010,19 @@ "## SPC of codes with varying parameters" ] }, + { + "cell_type": "code", + "execution_count": 36, + "id": "7536109a-25d1-4185-995c-66542c97d5b9", + "metadata": {}, + "outputs": [], + "source": [ + "#result_folder='result/unchecked/' #simulation result for random window decoder\n", + "#result_folder='result/min_weight/' #simulation result for syndrome table decoding\n", + "result_folder='result/min_weight_new_range/' # p start from 0.2 instead from 0.1\n", + "fig_folder='result/fig/' #folder to save figs" + ] + }, { "cell_type": "markdown", "id": "179190cb-d20c-4fee-afa1-302a7d3a7240", @@ -985,7 +1035,14 @@ "cell_type": "code", "execution_count": 29, "id": "31363259-15c1-43d2-8c8d-849d7c47accc", - "metadata": {}, + "metadata": { + "collapsed": true, + "jupyter": { + "outputs_hidden": true, + "source_hidden": true + }, + "tags": [] + }, "outputs": [ { "name": "stdout", @@ -1039,7 +1096,14 @@ "cell_type": "code", "execution_count": 79, "id": "18b2c2b2-7a42-42d1-bda7-126a436dfb4d", - "metadata": {}, + "metadata": { + "collapsed": true, + "jupyter": { + "outputs_hidden": true, + "source_hidden": true + }, + "tags": [] + }, "outputs": [ { "name": "stdout", @@ -1094,7 +1158,14 @@ "cell_type": "code", "execution_count": 31, "id": "c1c46bec-a4b3-4294-845c-fe081796ec28", - "metadata": {}, + "metadata": { + "collapsed": true, + "jupyter": { + "outputs_hidden": true, + "source_hidden": true + }, + "tags": [] + }, "outputs": [ { "name": "stdout", @@ -1155,7 +1226,7 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 50, "id": "59811889-8963-45c3-8228-0c0c282feaec", "metadata": {}, "outputs": [ @@ -1163,14 +1234,20 @@ "name": "stdout", "output_type": "stream", "text": [ - "e_try= 1000000 , label= 13-13\n", - "e_try= 1000000 , label= 13-15\n", - "e_try= 1000000 , label= 15-15\n" + "7 1 3\n", + "7 1 3\n", + "e_try= 1000000 , label= $[[7,1,3]] \\times [[7,1,3]]$\n", + "7 1 3\n", + "25 1 5\n", + "e_try= 1000000 , label= $[[7,1,3]] \\times [[25,1,5]]$\n", + "25 1 5\n", + "25 1 5\n", + "e_try= 1000000 , label= $[[25,1,5]] \\times [[25,1,5]]$\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -1181,7 +1258,7 @@ ], "source": [ "# Figure 1: Steane and subsystem product of Steane codes\n", - "plt.title('k=1, d=3,4,5')\n", + "plt.title('(a) $k=1 \\\\times 1, d=9,15,25$')\n", "plt.yscale('log'),plt.xscale('log')\n", "\n", "#plot_json('steane')\n", @@ -1193,18 +1270,24 @@ "#plot_toric(L=8)\n", "#plot_toric(L=9)\n", "\n", - "h = np.array(p_qubit)\n", + "#h = np.array(p_qubit)\n", "#plt.plot(h, h, ':',label='$y=x$')\n", "#plt.plot(h, 20*h**2, 'g--',label='y=x^2')\n", "#plt.plot(h, 200*h**3, 'y--',label='y=x^3')\n", "#plt.plot(h, 400000000*h**8, 'r--',label='$y=x^8$')\n", "\n", + "\n", + "\n", + "#p_threshold=0.069\n", + "#plt.axvline(x = p_threshold, color = 'y', linestyle=':', label = '$p_c='+ str(p_threshold) +'$')\n", "#p_threshold=0.072\n", - "#plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", - "p_threshold=0.0705\n", - "plt.axvline(x = p_threshold, linestyle=':', color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", + "p_threshold=0.114 #+0.007+0.005\n", + "plt.axvline(x = p_threshold, color = 'y', linestyle=':', label = '$p_c='+ str(p_threshold) +'(7)$')\n", + "#p_threshold=0.075\n", + "#plt.axvline(x = p_threshold, color = 'b', linestyle=':', label = '$p_c='+ str(p_threshold) +'$')\n", "\n", - "plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", + "plt.xlabel('Physical error rate $p$'), plt.ylabel('Logical error rate $p_L$')\n", + "#plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", "plt.legend()\n", "plt.savefig(fig_folder+'spc-k1k1.pdf',dpi=300, bbox_inches = \"tight\")\n", "#plt.savefig(fig_folder+'spc-k1k1.pdf',dpi=300, bbox_inches = \"tight\")" @@ -1212,18 +1295,30 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 14, "id": "be59fcb4-7618-4a13-af4b-554c5388054d", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "result/min_weight_logical/\n" + ] + } + ], "source": [ - "#help(plt.axvline)" + "#help(plt.axvline)\n", + "print(result_folder)" ] }, { "cell_type": "markdown", "id": "b61b13af-ea12-4d3d-a5aa-3c99d57525e1", - "metadata": {}, + "metadata": { + "jp-MarkdownHeadingCollapsed": true, + "tags": [] + }, "source": [ "### $k_a=1,k_b=2$\n", "- The best curve is 1525, SPC=[[25*27,1*2,d<5*5]]=[[675,2,d<25]]\n", @@ -1232,32 +1327,31 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 14, "id": "5770c410-8ce5-4c1b-83a3-acedf377f5cc", - "metadata": {}, + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [] + }, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "e_try= 100000 , label= 13-24\n", - "e_try= 100000 , label= 13-25\n", - "e_try= 100000 , label= 15-25\n" + "ename": "FileNotFoundError", + "evalue": "[Errno 2] No such file or directory: 'result/min_weight_new_range/n7k1d3-x3z3dx3dz3-0_n18k2d4-x8z8dx4dz4-1.json'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn [14], line 6\u001b[0m\n\u001b[1;32m 2\u001b[0m plt\u001b[38;5;241m.\u001b[39myscale(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlog\u001b[39m\u001b[38;5;124m'\u001b[39m),plt\u001b[38;5;241m.\u001b[39mxscale(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlog\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m 4\u001b[0m \u001b[38;5;66;03m#plot_json('steane')\u001b[39;00m\n\u001b[1;32m 5\u001b[0m \u001b[38;5;66;03m#plot_code_kdkd(1,3,1,3)\u001b[39;00m\n\u001b[0;32m----> 6\u001b[0m \u001b[43mplot_code_kdkd\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m3\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m2\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m4\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m 7\u001b[0m plot_code_kdkd(\u001b[38;5;241m1\u001b[39m,\u001b[38;5;241m3\u001b[39m,\u001b[38;5;241m2\u001b[39m,\u001b[38;5;241m5\u001b[39m)\n\u001b[1;32m 8\u001b[0m plot_code_kdkd(\u001b[38;5;241m1\u001b[39m,\u001b[38;5;241m5\u001b[39m,\u001b[38;5;241m2\u001b[39m,\u001b[38;5;241m5\u001b[39m)\n", + "Cell \u001b[0;32mIn [10], line 58\u001b[0m, in \u001b[0;36mplot_code_kdkd\u001b[0;34m(ka, da, kb, db)\u001b[0m\n\u001b[1;32m 56\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mplot_code_kdkd\u001b[39m(ka,da,kb,db):\n\u001b[1;32m 57\u001b[0m filename\u001b[38;5;241m=\u001b[39mresult_folder\u001b[38;5;241m+\u001b[39mcodes[ka][da]\u001b[38;5;241m+\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m_\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;241m+\u001b[39mcodes[kb][db]\u001b[38;5;241m+\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m.json\u001b[39m\u001b[38;5;124m'\u001b[39m\n\u001b[0;32m---> 58\u001b[0m data \u001b[38;5;241m=\u001b[39m json\u001b[38;5;241m.\u001b[39mload(\u001b[38;5;28;43mopen\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mfilename\u001b[49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 59\u001b[0m p_qubit,p_block \u001b[38;5;241m=\u001b[39m data2plot(data[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mdata_map\u001b[39m\u001b[38;5;124m'\u001b[39m]) \n\u001b[1;32m 60\u001b[0m label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m$\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;241m+\u001b[39mcode2label(codes[ka][da]) \u001b[38;5;241m+\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124m \u001b[39m\u001b[38;5;130;01m\\\\\u001b[39;00m\u001b[38;5;124mtimes \u001b[39m\u001b[38;5;124m'\u001b[39m \u001b[38;5;241m+\u001b[39m code2label(codes[kb][db])\u001b[38;5;241m+\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m$\u001b[39m\u001b[38;5;124m'\u001b[39m\n", + "File \u001b[0;32m/opt/conda/lib/python3.10/site-packages/IPython/core/interactiveshell.py:282\u001b[0m, in \u001b[0;36m_modified_open\u001b[0;34m(file, *args, **kwargs)\u001b[0m\n\u001b[1;32m 275\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m file \u001b[38;5;129;01min\u001b[39;00m {\u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m2\u001b[39m}:\n\u001b[1;32m 276\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 277\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mIPython won\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mt let you open fd=\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mfile\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m by default \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 278\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mas it is likely to crash IPython. If you know what you are doing, \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 279\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124myou can use builtins\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m open.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 280\u001b[0m )\n\u001b[0;32m--> 282\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mio_open\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfile\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'result/min_weight_new_range/n7k1d3-x3z3dx3dz3-0_n18k2d4-x8z8dx4dz4-1.json'" ] }, { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 58, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - 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" ] @@ -1306,7 +1400,14 @@ "cell_type": "code", "execution_count": 60, "id": "4afca8d5-df4c-471a-9205-0eb1a6afceb1", - "metadata": {}, + "metadata": { + "collapsed": true, + "jupyter": { + "outputs_hidden": true, + "source_hidden": true + }, + "tags": [] + }, "outputs": [ { "name": "stdout", @@ -1371,22 +1472,30 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 40, "id": "b6fe2a0f-1eef-4a15-931b-e87f41851aa7", - "metadata": {}, + "metadata": { + "tags": [] + }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "e_try= 100000 , label= 23-23\n", - "e_try= 100000 , label= 23-25\n", - "e_try= 100000 , label= 25-25\n" + "11 2 3\n", + "11 2 3\n", + "e_try= 100000 , label= $[[11,2,3]] \\times [[11,2,3]]$\n", + "11 2 3\n", + "27 2 5\n", + "e_try= 100000 , label= $[[11,2,3]] \\times [[27,2,5]]$\n", + "27 2 5\n", + "27 2 5\n", + "e_try= 100000 , label= $[[27,2,5]] \\times [[27,2,5]]$\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1396,8 +1505,8 @@ } ], "source": [ - "folder='result/unchecked/'\n", - "plt.title('$k_a=2, k_b=2, d=3,4,5$')\n", + "#folder='result/unchecked/'\n", + "plt.title('(b) $k=2 \\\\times 2, d=9,15,25$')\n", "plt.yscale('log'),plt.xscale('log')\n", "\n", "#plot_json('steane')\n", @@ -1413,10 +1522,12 @@ "#plt.plot(h, 200*h**3, 'y--',label='$y=x^3$')\n", "#plt.plot(h, 400000000*h**8, 'r--',label='$y=x^8$')\n", "\n", - "p_threshold=0.1\n", - "plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", - "\n", - "plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", + "p_threshold=0.097\n", + "p_threshold=0.123\n", + "plt.axvline(x = p_threshold, color = 'y', linestyle=':', label = '$p_c='+ str(p_threshold) +'$')\n", + "plt.xlabel('Physical error rate $p$'), plt.ylabel('Logical error rate $p_L$')\n", + "#plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", + "#plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", "plt.legend()\n", "plt.savefig(fig_folder+'spc-k2k2.pdf',dpi=300, bbox_inches = \"tight\")" ] @@ -1426,6 +1537,11 @@ "execution_count": 63, "id": "ff921825-ba35-4761-82ba-a2f6d09bea72", "metadata": { + "collapsed": true, + "jupyter": { + "outputs_hidden": true, + "source_hidden": true + }, "tags": [] }, "outputs": [ @@ -1495,7 +1611,7 @@ }, { "cell_type": "code", - "execution_count": 109, + "execution_count": 41, "id": "ea450562-f775-4506-a957-341575eeb1c3", "metadata": {}, "outputs": [ @@ -1503,14 +1619,20 @@ "name": "stdout", "output_type": "stream", "text": [ - "e_try= 1000000 , label= 33-33\n", - "e_try= 1000000 , label= 33-35\n", - "e_try= 1000000 , label= 35-35\n" + "11 3 3\n", + "11 3 3\n", + "e_try= 100000 , label= $[[11,3,3]] \\times [[11,3,3]]$\n", + "11 3 3\n", + "29 3 5\n", + "e_try= 100000 , label= $[[11,3,3]] \\times [[29,3,5]]$\n", + "29 3 5\n", + "29 3 5\n", + "e_try= 100000 , label= $[[29,3,5]] \\times [[29,3,5]]$\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1520,7 +1642,7 @@ } ], "source": [ - "plt.title('$k_a=3, k_b=3, d=3,4,5$')\n", + "plt.title('(c) $k=3 \\\\times 3, d=9,15,25$')\n", "plt.yscale('log'),plt.xscale('log')\n", "\n", "#plot_json('steane')\n", @@ -1530,16 +1652,22 @@ "plot_code_kdkd(3,3,3,5) #looks bad\n", "plot_code_kdkd(3,5,3,5)\n", "\n", - "h = np.array(p_qubit)\n", + "#h = np.array(p_qubit)\n", "#plt.plot(h, h, '--',label='y=x')\n", "#plt.plot(h, 20*h**2, 'g--',label='y=x^2')\n", "#plt.plot(h, 200*h**3, 'y--',label='$y=x^3$')\n", "#plt.plot(h, 400000000*h**8, 'r--',label='$y=x^8$')\n", "\n", - "p_threshold=0.073\n", - "plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", "\n", - "plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", + "\n", + "\n", + "p_threshold=0.075\n", + "p_threshold=0.103\n", + "\n", + "plt.axvline(x = p_threshold, color = 'y', linestyle=':', label = '$p_c='+ str(p_threshold) +'$')\n", + "plt.xlabel('Physical error rate $p$'), plt.ylabel('Logical error rate $p_L$')\n", + "#plt.axvline(x = p_threshold, color = 'y', label = 'pseudo threshold\\n'+str(p_threshold))\n", + "#plt.xlabel('physical error rate $p$'), plt.ylabel('logical error rate $p_{block}$')\n", "plt.legend()\n", "plt.savefig(fig_folder+'spc-k3k3.pdf',dpi=300, bbox_inches = \"tight\")" ]