From 75b6c1976b152a4c6d52fecb0e0efb1f47f4a87b Mon Sep 17 00:00:00 2001 From: Weilei Zeng at qlab01 Date: Fri, 26 Apr 2024 17:43:50 +0800 Subject: [PATCH] minor update 5 --- steane.ipynb | 87 ++++++++++++++++++++++++++++++++++++++++++---------- 1 file changed, 71 insertions(+), 16 deletions(-) diff --git a/steane.ipynb b/steane.ipynb index c45a699..c1c7ee5 100644 --- a/steane.ipynb +++ b/steane.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "74a081c1-f088-47d3-b41c-f0351eb45673", "metadata": {}, "outputs": [], @@ -17,7 +17,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "8f9af9b5-ab78-41d0-a584-c487cc576017", "metadata": {}, "outputs": [], @@ -60,7 +60,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "2c9a22c7-08a2-4191-bd42-6ca479e3b96a", "metadata": {}, "outputs": [], @@ -115,7 +115,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "id": "d67c2272-4427-428b-814f-086683e516fc", "metadata": {}, "outputs": [ @@ -190,7 +190,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 5, "id": "cc084927-7958-43a9-af85-03ab6b6469f9", "metadata": {}, "outputs": [ @@ -203,16 +203,6 @@ "14\n" ] }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - }, { "data": { "image/png": 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\n", @@ -257,7 +247,72 @@ "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\")" + "fig_folder=\"result/fig/\"\n", + "plt.savefig(fig_folder+'steane-benchmark.pdf',dpi=300, bbox_inches = \"tight\")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "b214ec7e-846f-4eec-a0d3-33f3950b15c0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "14\n", + "14\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Steane-based codes')\n", + "plt.yscale('log'),plt.xscale('log')\n", + "\n", + "s=trellis_sim_Prod_gauge_fixed_Z_nstage\n", + "p_qubit,p_block = str2plot(s)\n", + "#plt.plot(p_qubit, p_block,label='Prod_gauge_fixed_Z_nstage')\n", + "plt.plot(p_qubit, p_block,label='Subsystem product')\n", + "#s=trellis_sim_Prod_gauge_fixed_X_2stage_1cycle\n", + "#p_qubit,p_block = str2plot(s)\n", + "#plt.plot(p_qubit, p_block,label='Prod_gauge_fixed_X_2stage_1cycle')\n", + "s=trellis_sim_ConcatSteane_subopt_direct_Z\n", + "p_qubit,p_block = str2plot(s)\n", + "plt.plot(p_qubit, p_block, label='Concatenation')\n", + "#plt.plot(p_qubit, p_block, label='ConcatSteane_subopt_direct_Z')\n", + "\n", + "#s=trellis_sim_Prod_gauge_fixed_Z_nstage_opt\n", + "#p_qubit,p_block = str2plot(s)\n", + "#plt.plot(p_qubit, p_block, label='Prod_gauge_fixed_Z_nstage_opt')\n", + "\n", + "\n", + "\n", + "h = np.array(p_qubit)\n", + "plt.plot(h, h, '--',label='$p_L=p$')\n", + "\n", + "h = np.array(p_qubit)\n", + "plt.plot(h, 15*h**2, ':',label='Approx steane') #$p_L=p^2$\n", + "\n", + "\n", + "p_threshold=0.064\n", + "plt.axvline(x = p_threshold, color = 'y', linestyle=':', label = '$p='+ str(p_threshold) +'$')\n", + "p_threshold=0.113\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", + "fig_folder=\"result/fig/\"\n", + "plt.savefig(fig_folder+'steane-benchmark2.pdf',dpi=300, bbox_inches = \"tight\")" ] }, {