diff --git a/Coding_With_Qiskit/ep8_Noise_and_Error_Mitigation.ipynb b/Coding_With_Qiskit/ep8_Noise_and_Error_Mitigation.ipynb index d75fa8b..94399e0 100644 --- a/Coding_With_Qiskit/ep8_Noise_and_Error_Mitigation.ipynb +++ b/Coding_With_Qiskit/ep8_Noise_and_Error_Mitigation.ipynb @@ -3,7 +3,63 @@ { "cell_type": "markdown", "metadata": {}, - "source": [] + "source": [ + "### Coding with Qiskit Episode 8\n", + "\n", + "# Noise and Measurement Error Mitigation\n", + "\n", + "#### Written by Abraham Asfaw, IBM TJ Watson Research Center" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this episode of Coding with Qiskit, we learned about noise, and saw how it affects quantum computation on real devices by introducing errors.\n", + "\n", + "To learn more about measurement error mitigation, check out [the section in our open-source Qiskit textbook on this topic](https://community.qiskit.org/textbook/ch-quantum-hardware/measurement-error-mitigation.html).\n", + "\n", + "**Link to Episode 8:** https://youtu.be/yuDxHJOKsVA" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " " + ], + "text/plain": [ + "" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import IFrame\n", + "IFrame(src=\"http://www.youtube.com/embed/yuDxHJOKsVA\", width=1920/2, height=1080/2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Building a simple quantum circuit" + ] }, { "cell_type": "code", @@ -16,16 +72,16 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -41,7 +97,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -51,7 +107,7 @@ "
" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -60,9 +116,16 @@ "circuit.draw(output='mpl')" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Simulating the quantum circuit" + ] + }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -72,7 +135,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -81,17 +144,17 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] }, - "execution_count": 11, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -100,52 +163,57 @@ "plot_histogram(sim_result.get_counts(circuit))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Running the quantum circuit on a real quantum computer" + ] + }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "IBMQ.load_account()\n", - "\n", "provider = IBMQ.get_provider(hub='ibm-q')\n", "device = provider.get_backend('ibmqx2')" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "5d8c4ade29dcfd0011e55b17\n", "Job Status: job has successfully run\n" ] } ], "source": [ "job = execute(circuit, backend=device, shots=1024)\n", - "print(job.job_id())\n", + "#print(job.job_id())\n", "from qiskit.tools.monitor import job_monitor\n", "job_monitor(job)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] }, - "execution_count": 14, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -155,9 +223,16 @@ "plot_histogram(device_result.get_counts(circuit))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Calibrating measurement errors using Qiskit Ignis" + ] + }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -166,7 +241,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -176,7 +251,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -186,7 +261,7 @@ "
" ] }, - "execution_count": 19, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -197,7 +272,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -206,7 +281,7 @@ "8" ] }, - "execution_count": 20, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -217,14 +292,13 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "5d8c51d979e8740011f3dbfe\n", "Job Status: job has successfully run\n" ] } @@ -234,24 +308,24 @@ " backend=device,\n", " shots=8192,\n", " optimization_level=0)\n", - "print(cal_job.job_id())\n", + "#print(cal_job.job_id())\n", "job_monitor(cal_job)\n", "cal_results = cal_job.result()" ] }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] }, - "execution_count": 42, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -260,9 +334,16 @@ "plot_histogram(cal_results.get_counts(cal_circuits[3]))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Creating the Measurement Fitter Object in Ignis " + ] + }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -271,12 +352,12 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -293,16 +374,23 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "meas_filter = meas_fitter.filter" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Mitigating the measurement errors in our previous device run" + ] + }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -311,17 +399,17 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 21, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] }, - "execution_count": 48, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -333,9 +421,16 @@ " legend=['device, noisy', 'device, mitigated'])" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Running error mitigation on a second circuit" + ] + }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -345,7 +440,7 @@ "
" ] }, - "execution_count": 56, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -357,22 +452,22 @@ "circuit2.cx(0,1)\n", "circuit2.cx(1,2)\n", "circuit2.measure([0,1,2], [0,1,2])\n", - "circuit2.draw(output='mpl')\n" + "circuit2.draw(output='mpl')" ] }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] }, - "execution_count": 57, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -385,7 +480,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -394,17 +489,17 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 25, "metadata": {}, "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdAAAAFGCAYAAADaYs5eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzt3Xt8VOW59//PRcJBFIQgmybIURQCWhpiqRYIutUKtlaL/Hp4wEPd6kZ3a61arDxWsFuxVbH2abUqFk+4t7WSKoo8sik+pCJWRaQgkaKcCgTlJCDnxOv3x72SDiEJmUWSmYHv+/WaFzNr3bO41iRZ19z3ug/m7oiIiEhymqU6ABERkUykBCoiIhKDEqiIiEgMSqAiIiIxKIGKiIjEoAQqIiISgxKoiIhIDEqgIiIiMSiBioiIxJCd6gBSqUOHDt61a9dUhyEiImnkvffe2+TuHQ9V7qhOoF27dmXOnDmpDkNERNJITk7O6vqUUxOuiIhIDEqgIiIiMSiBioiIxKAEKiIiEoMSqIiISAxKoCIiIjEogYqIiMSgBCoiIhKDEqiIiEgMSqAiIiIxKIGKiIjEoAQqIiISgxKoiIhIDEqgIiIiMSiBioiIxKAEKiIiEoMSqIiISAxKoCIiIjEogYqIiMSgBCoiIhKDEqiIiEgMSqAiIiIxKIGKiIjEoAR6lJs9ezYDBw6ksLCQBx54oNZy06dPJycnh4ULFwKwYMECioqKKCoqYsiQIbz88stJH1NEJJNlpzoASZ2KigrGjh1LcXExeXl5nHPOOQwbNow+ffocUG7Hjh088sgjFBYWVm3Lz89nzpw5ZGdns2HDBoqKihg2bBhmVq9jiohkOtVAj2ILFiygR48edO/enRYtWjBixAhmzpx5ULmJEyfyox/9iFatWlVta926NdnZ4fvX3r17MbOkjikikumUQI9iZWVldO7cuep1Xl4eZWVlB5RZtGgR69at42tf+9pB73/nnXc488wzGTx4MJMmTSI7O7texxQRORIogUqtPv/8c2677TbuvPPOGveffvrpzJ8/n9mzZ/PAAw+wZ8+eJo5QRCR1lECPYrm5uaxbt67q9fr168nNza16/dlnn1FaWsqFF15I//79eeeddxg1alRVR6JKvXv35thjj6W0tPSQxxQROVI0eQI1s+vMbKWZ7TGzBWY2pJ7vG2xm5Wa2pNr2K8zMa3i0qu1YEgwYMIAVK1awevVq9u3bR3FxMcOGDava37ZtWz788EMWLVrEokWLOP3003nmmWcoKChg9erVlJeXA/CPf/yD5cuX07Vr10MeU0TkSNGkvXDN7DvAr4HrgNejf2eaWV93X1PH+9oDTwF/BjrXUGQXcFLiBndXe+IhZGdnc8899zBy5EgqKioYNWoU+fn5TJw4kYKCAoYPH17re998800eeOABmjdvTrNmzbj33nvp0KEDQI3HFBE50pi7N91/ZvZX4G/ufnXCtuXA8+5+ax3vKwYWAQaMdPdTE/ZdAfzW3Y9LNp6CggKfM2dOsm8TEZEjWE5OzgJ3P/1Q5ZqsCdfMWgCFwKxqu2YBX63jfdcBnYCae7IEx5jZajNba2Yvm1nBYQcsIiJSh6Zswj0ByAI+rrb9Y+Dcmt5gZqcB44Ez3L2icqxhNcuAKwk11DbAj4B5Ztbf3ZfXcMxrgGsgdKJ59913gTDconXr1nz44YcAHH/88fTs2bOqw0xWVhb9+/dn2bJl7Ny5EwiTCWzZsoWPPw6ndOKJJ9KiRQtWrFgBQPv27enatSuLFi0CoHnz5px22mmUlpaye/duAPr27cvGjRvZuHEjAN26dcPMWLVqFQAdOnQgNzeXJUvCrd+WLVvSr18/3n//ffbu3QvAqaeeSllZGZs3bwage/fuuDurV68GoGPHjnTs2JGlS5cCcMwxx5Cfn8/ixYvZv38/AP3792fNmjVs3boVgJ49e7Jv3z7Wrl0LQKdOncjJyaG0tBSAY489lt69e7No0SIqKioAKCgoYMWKFWzbtg2AXr16sWvXLtavX0/l5922bVuWLVsGQJs2bTj55JNZuHAh7o6ZUVBQwPLly9mxYwcQOiht3769aiiMfk76OennpJ9TY/+c6qvJmnDNLA9YBwx195KE7bcDo9y9d7XyLYGFwN3u/nS0bQLVmnBr+H+ygPeA19z9+rpiUhOuiIhUV98m3KasgW4CKgjNsYk6ARtqKJ8L5AOPm9nj0bZmgJlZOXCBu1dvDiaqqb4DnNxgkYuIiFTTZPdA3X0fsAA4r9qu84A3anjLOuA04EsJj4eBD6PnNb0HC+28XwQ0/Y2IiDSapp5M/n7gaTN7C5gHjAHyCIkRM3sKwN0vc/f9QPUxn58Ae919ScK28cCbwHKgLXA9IYFe2+hnIyIiR60mTaDu/gcz6wDcRmiiXUJoil0dFeka47DtgEeBLwDbCPdNi9z9rQYIWUREpEZNPhORuz/k7t3dvaW7FyZ2KHL3s9z9rDreO6F6ByJ3/7G7d4uO9y/ufr67z2/EUxARSYlDrbX7+OOPM2jQIIqKihg+fDgffPABAPv27eM//uM/GDRoEEOGDOH111+vek9xcTGDBw/mzDPPZMKECU11KkcEzYUrIpIBKtfvfe6555g/fz7Tpk2rSpCVLrnkEubNm0dJSQnXX389t912GwBPPfUUAPPmzaO4uJif/exnfP7552zZsoXx48fzwgsvMH/+fD755BPmzp3b5OeWqZRARUQyQH3W2m3btm3V8127dlWt07ts2TKKioqAMD7y+OOPZ+HChaxatYqTTjqJE044AYChQ4fy0ksvNdEZZT4lUBGRDFDftXYfe+wxBgwYwPjx4/nFL34BQL9+/Zg5cybl5eWsXr2a9957j3Xr1tGzZ0+WL1/OmjVrKC8vZ8aMGQespiR1a+peuJJmxj7ZvlGPf8/lWxv1+CJyoKuuuoqrrrqK559/nkmTJvHQQw8xevRo/v73v/Ov//qvdOnShYEDB5KVlUW7du2YNGkSV155Jc2aNWPgwIFVswHJoSmBiohkgGTX2h0xYgQ33XQTEFZemjhxYtW+888/n5NOCgtYDRs2rGrJwSeeeIKsrKzGCP+IpCZcEZEMUJ+1dj/66KOq57NmzapKkrt27aqay/a1114jOzubPn36AFTNR/vpp58yZcoULr300qY4nSOCaqAiIhmgPuv3Tp48mblz59K8eXPatWvHgw8+CMCmTZsYOXIkZkZeXh4PP/xw1XFvvfXWqknbf/KTn9CrV6+UnF8matL1QNONJpPXPVARkerSbj1QERGRI4kSqIiISAxKoCIiIjEogYqIiMSgBCoiIhKDEqiIiEgMSqAiIiIxKIGKiIjEoAQqIiISgxKoiIhIDEqgIiIiMWgyeRGRDKL5q9OHaqAiIiIxKIGKiIjEoAQqIiISgxKoiIhIDEqgIiIiMSiBioiIxKAEKiIiEoMSqIiISAxKoCIiIjEogYqIiMSgBCoiIhKDEqiIiEgMSqAiIiIxKIGKiIjEoAQqIiISgxKoiIhIDEqgIiIiMSiBioiIxKAEKiIiEoMSqIiISAxKoCIiIjEogYqIiMSgBCoiIhKDEqiIiEgMSqAiIiIxKIGKiIjEoAQqIiISgxKoiIhIDEqgIiIiMSiBioiIxKAEKiIiEoMSqIiISAxKoCIiIjEogYqIiMSgBCoiIhJDUgnUzL5tZl9LeH27ma01s1fNLLfhwxMREUlPydZAJ1Q+MbMBwDjg/wDNgUkNF5aIiEh6y06yfDdgWfT8W8AL7n6Pmc0CXm3QyERERNJYsjXQPUCb6Pk5wOzo+baE7SIiIke8ZGugfwEmmdnrwOnAyGj7KcA/GjIwERGRdJZsDfQHwD5C4hzj7uuj7cNRE66IiBxFkqqBuvta4MIatt/QYBGJiIhkgKTHgZpZKzMbaWa3mFm7aNtJZpbT8OGJiIikp6RqoGbWi9Bx6DigHfBH4FPg2uj1VQ0doIiISDpKtgb6ADAL6ATsTtg+HTi7oYISERFJd8n2wv0qcIa7V5hZ4vY1QF6DRSUiIpLm4syF27yGbV0JY0FFRESOCskm0FnAjQmv3czaAncAMxosKhERkTSXbAK9ERhsZsuAVsAfgFXAF4Cf1ucAZnadma00sz1mtsDMhtRRdqiZvWFmm81st5l9YGY311DuEjNbamZ7o3+/leR5iYiIJCXZcaDrzexLwPeAAYQE/CjwjLvvrvPNgJl9B/g1cB3wevTvTDPr6+5ranjLZ4TJ6hcDu4BBwCNmtsvdH4qOeSYhkY8HioERwB/NbJC7/zWZ8xMREamvZDsRESXKKdEjWTcCT7j75Oj1D81sGGEYzK01/F8LgAUJm1aa2QhgCPBQtO0G4DV3vyt6fZeZnR1t/16MGEVERA7pkAk0Slgvufv+6Hmt3L24juO0AAqB+6rtmkXo3XtIZlYQlZ2QsPlM4DfVir5KmHZQRESkUdSnBvo84R7nJ9Hz2jiQVcf+E6L9H1fb/jFwbl0BmNlaoCMh3jvc/eGE3V+o5ZhfqOVY1wDXAOTm5vLuu+8CkJeXR+vWrfnwww8BOP744+nZsycLFy4EICsri/79+7Ns2TJ27twJQH5+Plu2bOHjj8N/f+KJJ9KiRQtWrFgBQPv27enatSuLFi0CoHnz5px22mmUlpaye3do8e7bty8bN25k48aNAHTr1g0zY9WqVQB06NCB3NxclixZAkDLli3p168f77//Pnv37gXg1FNPpaysjM2bNwPQvXt33J3Vq1cD0LFjRzp27MjSpUsBOOaYY8jPz2fx4sVAUV0f/WHbsGED69eHKZNzc3Np27Yty5aFFfHatGnDySefzMKFC3F3zIyCggKWL1/Ojh07AOjduzfbt2+nrKwMOHp/Tvv37wegf//+rFmzhq1btwLQs2dP9u3bx9q1awHo1KkTOTk5lJaWAnDsscfSu3dvFi1aREVFBQAFBQWsWLGCbdtCx/levXqxa9cu/Zwy5OcE7WlM7n7U/5zqy9w9qQ83LjPLA9YBQ929JGH77cAod+9dx3t7EGY/OgP4JfAjd3862rcPuMrdn0oofxkw2d1b1hVTQUGBz5kz5zDOKvONfbJx/xjvuXxrox5f5Gijv9nGl5OTs8DdTz9UuaR64ZpZkZkdVGs1sywzO1RVZhNQQZjFKFEnYENdb3T3le6+OLp3ej8HNuFuiHNMERGRw5HsMJbXgJomjW8X7auVu+8jdAg6r9qu84A3koihGZBYs5zfAMcUERFJSrK9cI1wr7O6DsDOerz/fuBpM3sLmAeMIUwB+DCAmT0F4O6XRa9/CKwElkXvLwJu5p89cCEMiykxs58CLwDfIszLOziZExMREUlGvRKomU2Pnjow1cz2JuzOAk6lHjU+d/+DmXUAbgNygSXABe6+OirStdpbsgj3PLsD5cBHhAkbqjoRufsbZvZd4E7g51GZ72gMqIiINKb61kA3R/8asJUDV2LZR5gUYXL1N9UkmgDhoVr2nVXt9QOEFWAOdcznqbuHsIiISIOqVwJ19+8DmNkq4D53r09zrYiIyBEr2an87misQERERDJJfWYi+hth7OZWM1tMzZ2IAHD3LzZkcCIiIumqPjXQaUBlpyHdZxQREaEeCTSx2VZNuCIiIkGyEymIiIgI9bsHWud9z0S6ByoiIkeL+q7GIiIiIgmSugcqIiIige6BioiIxKBxoCIiIjFoHKiIiEgMGgcqIiISQ7LrgQJgZicB+dHLUnf/qOFCEhERSX9JJdBoLc/fA98EPv/nZnsZuNLdN9f6ZhERkSNIsr1wHwN6AUOAVtGjCOhBPdcDFRERORIk24R7PnCOu89P2DbPzP4dmN1wYYmIiKS3ZGugG4GaFtPeBaj5VkREjhrJJtCfAw+YWefKDdHzSdE+ERGRo0KcyeR7AKvMbF30ujOwB/gXwj1SERGRI54mkxcREYlBk8mLiIjEoMnkRUREYkgqgZpZCzO7w8z+bmZ7zKwi8dFYQYqIiKSbZGug/wlcTuh1+znwE+BBwhCW6xo2NBERkfSVbAL9NjDG3R8BKoAX3f16YDxwXkMHJyIikq6STaCdgKXR88+AdtHz/wt8raGCEhERSXfJJtA1QF70/EPC1H4AZwK7GyooERGRdJdsAv0TcE70/NfAHWa2EngCTaIgIiJHkaQmk3f3WxOeP29ma4GvAn9395cbOjgREZF0FWtB7Uru/ibwZgPFIiIikjGSnkjBzAaY2VNm9k70eNrMBjRGcCIiIukq2YkURgFvA7nAK9GjE/CWmY1u+PBERETSU7JNuHcBP3P3iYkbzexW4E5gakMFJiIiks6SbcLtCDxXw/Y/EpYzExEROSokm0BfA86qYftZwNzDDUZERCRT1GdB7REJL2cCd5vZ6fyz9+0ZwAhgQoNHJyIikqbiLqh9TfRI9BvgocOOSEREJAPUZ0FtrRkqIiJSjZKjiIhIDHEmUvi6mZWY2SYz22hmc83sgsYITkREJF0lO5HCVYQJ5T8CbgF+CqwE/mRmVzZ8eCIiIukp2YkUbgFudPffJmz7vZktICTTKQ0WmYiISBpLtgm3K2Hx7OpmAt0OPxwREZHMEGdB7fNq2P41YPXhhyMiIpIZkm3CvQ/4TbT6yhvRtkHApcAPGzIwERGRdJbsgtqPmNknwE2E2YcASoFvu/uLDR2ciIhIuqp3AjWzbEJTbYm7/6nxQhIREUl/9b4H6u7lQDHQpvHCERERyQzJdiJaBPRqjEBEREQySbIJdAIwycwuNrMuZpaT+GiE+ERERNJSsr1wZ0T/FgOesN2i11kNEZSIiEi6SzaBnt0oUYiIiGSYeiVQM2sN3AtcDDQHZgPXu/umRoxNREQkbdX3HugdwBWEJtz/JsxG9LtGiklERCTt1bcJdwTwb+7+LICZPQPMM7Msd69otOhERETSVH1roF2Av1S+cPe3gHIgrzGCEhERSXf1TaBZwL5q28pJvhOSiIjIEaG+CdCAqWa2N2FbK2Cyme2q3ODu32zI4ERERNJVfRPokzVsm9qQgYiIiGSSeiVQd/9+YwciIiKSSZKdyk9ERERQAhUREYlFCVRERCQGJVAREZEYlEBFRERiUAIVERGJQQlUREQkhiZPoGZ2nZmtNLM9ZrbAzIbUUTbXzP7LzD4wswoze6KGMleYmdfwaNWoJyIiIke1Jk2gZvYd4NfARKAAeAOYaWZda3lLS2AT8Avgr3UceheQm/hw9z0NFbeIiEh1TV0DvRF4wt0nu3upu/8QKAOuramwu69y9+vd/QlgSx3HdXffkPho+NBFRET+qckSqJm1AAqBWdV2zQK+epiHP8bMVpvZWjN72cwKDvN4IiIidWrK5chOICyL9nG17R8D5x7GcZcBVwKLgDbAjwiLffd39+XVC5vZNcA1ALm5ubz77rsA5OXl0bp1az788EMAjj/+eHr27MnChQsByMrKon///ixbtoydO3cCkJ+fz5YtW/j443BKJ554Ii1atGDFihUAtG/fnq5du7Jo0SIAmjdvzmmnnUZpaSm7d+8GoG/fvmzcuJGNGzcC0K1bN8yMVatWAdChQwdyc3NZsmQJAC1btqRfv368//777N0bFsc59dRTKSsrY/PmzQB0794dd2f16tUAdOzYkY4dO7J06VIAjjnmGPLz81m8eDFQdBgf/aFt2LCB9evXA+Hzbtu2LcuWLQOgTZs2nHzyySxcuBB3x8woKChg+fLl7NixA4DevXuzfft2ysrKgKP357R//34A+vfvz5o1a9i6dSsAPXv2ZN++faxduxaATp06kZOTQ2lpKQDHHnssvXv3ZtGiRVRUVABQUFDAihUr2LZtGwC9evVi165d+jllyM8J2tOY3P2o/znVl7l7Uh9uXGaWB6wDhrp7ScL224FR7t77EO9/Gdjk7lccolwW8B7wmrtfX1fZgoICnzNnTj3P4Mg09snG/WO85/KtjXp8kaON/mYbX05OzgJ3P/1Q5ZryHugmoALoVG17J6DB7lm6ewXwDnByQx1TRESkuiZLoO6+D1gAnFdt13mE3rgNwswM+CKhc5KIiEijaMp7oAD3A0+b2VvAPGAMkAc8DGBmTwG4+2WVbzCzL0VP2wKfR6/3ufvSaP944E1geVTmekICrbFnr4iISENo0gTq7n8wsw7AbYTxmkuAC9x9dVSkpvGgC6u9vhBYDXSPXrcDHgW+AGyLyhe5+1sNG72IiMg/NXUNFHd/CHioln1n1bDNDnG8HwM/bpDgRERE6klz4YqIiMSgBCoiIhKDEqiIiEgMSqAiIiIxKIGKiIjEoAQqIiISgxKoiIhIDEqgIiIiMSiBioiIxKAEKiIiEoMSqIiISAxKoCIiIjEogYqIiMSgBCoiIhKDEqiIiEgMSqAiIiIxKIGKiIjEoAQqIiISgxKoiIhIDEqgIiIiMSiBioiIxKAEKiIiEoMSqIiISAxKoCIiIjEogYqIiMSgBCoiIhKDEqiIiEgMSqAiIiIxKIGKiIjEoAQqIiISgxKoiIhIDEqgkrFmz57NwIEDKSws5IEHHjho/969e7nyyispLCzk3HPPZc2aNQCsWbOGvLw8ioqKKCoq4sYbb6x6z7Rp0xg0aBCDBw9m5MiRbN68ucnOR0QyixLoYWqMi/iFF17IwIEDq/Zt3Lixyc4nU1RUVDB27Fiee+455s+fz7Rp0/jggw8OKDN16lTatWvHggULuPbaa5kwYULVvu7du1NSUkJJSQn3338/AOXl5dx6661Mnz6d119/nX79+jF58uSmPC0RySDZqQ4gk1VexIuLi8nLy+Occ85h2LBh9OnTp6pM4kV82rRpTJgwgSlTpgD/vIjX5JFHHqGgoKBJziMTLViwgB49etC9e3cARowYwcyZMw/47F955RVuueUWAC666CJuueUW3L3WY7o77s6uXbvIyclhx44d9OjRo1HPQ0Qyl2qghyHxIt6iRYuqi3iiV155he9+97tAuIiXlJTUeRGX+ikrK6Nz585Vr/Py8igrK6u1THZ2Nm3btmXLli1AaAEYOnQo3/jGN5g/fz4AzZs357777mPQoEH07duXZcuWcemllzbRGYlIplECPQyNcRGv9IMf/ICioiLuvfdeJdwG1qlTJ/72t78xd+5c7rzzTq6++mq2b9/O/v37efzxx5k7dy5Lly6lX79+/OpXv0p1uCKSptSEmyKVF/GcnBzee+89Ro8ezRtvvEHbtm155JFHyMvLY8eOHVx++eX84Q9/qKrFSpCbm8u6deuqXq9fv57c3Nway3Tu3Jny8nK2b99OTk4OZkbLli0B+NKXvkSPHj346KOPqr6oVDbbXnzxxTXe1xYRAdVAD0syF3HggIt4y5YtycnJAQ68iEOoyQK0adOGkSNH8u677zbF6WSUAQMGsGLFClavXs2+ffsoLi5m2LBhB5QZPnw4zz77LAAvvvgiQ4YMwczYtGkTFRUVAKxatYoVK1bQvXt3cnNzWbZsGZs2bQLgtdde45RTTmnaExORjKEa6GFIvIjn5uZSXFzMo48+ekCZyov4wIEDD7qIt2/fnqysrAMu4uXl5Wzbto0OHTqwf/9+Xn31Vc4666zUnGAay87O5p577mHkyJFUVFQwatQo8vPzmThxIgUFBQwfPpzRo0czZswYCgsLad++PY899hgAb7zxBnfffTfNmzenWbNmTJo0ifbt2wMwduxYvv71r9O8eXO6dOnCgw8+mMrTFJE0Zkfz/bWCggKfM2fOYR3jf/7nfxg3blzVRfymm2464CK+Z88exowZw+LFi6su4t27d2f69OkHXMR/+tOfMmzYMHbu3Mk3vvEN9u/fT0VFBUOHDuWuu+4iKyurgc76QGOfbN8ox610z+VbG/X4Ikcb/c02vpycnAXufvqhyimBHmYCzXT6YxTJLPqbbXz1TaC6ByoiIhKD7oFKRmvMb+P6Ji4idVECbQBqUhEROfqoCVdERCQGJVAREZEYlEBFRERiUAIVERGJQQlUREQkBiVQERGRGJRAReSoMnv2bAYOHEhhYWGNq+3s3buXK6+8ksLCQs4991zWrFkDhMUFzj77bAYNGsTZZ59NSUlJ1XtGjhzJkCFDOPPMM7nxxhurFiuQI5sSqIgcNSoqKhg7dizPPfcc8+fPZ9q0aXzwwQcHlJk6dSrt2rVjwYIFXHvttUyYMAGADh068F//9V/MmzePBx98kGuvvbbqPVOmTOEvf/kLb7zxBps2beKFF15oytOSFFECFZGjxoIFC+jRowfdu3enRYsWjBgxgpkzZx5Q5pVXXqlaf/eiiy6ipKQEd+eLX/xi1XKF+fn57N69m7179wLQtm1bICxZuH//fsysCc8qc8St/W/ZsoVvfvObdOnShbFjxx7wnuLiYgYPHsyZZ55Z9WWnqSiBishRo6ysjM6dO1e9zsvLo6ysrNYy2dnZtG3bli1bthxQZvr06fTv379qYXaASy65hFNOOYXjjjuOiy66qBHPIjMdTu2/ZcuWjBs3jp///OcHlN+yZQvjx4/nhRdeYP78+XzyySfMnTu3qU5JCVREktcYNYl9+/Zxww038OUvf5mvfOUrTJ8+vUnOJVmlpaXccccd3H///QdsnzZtGqWlpezdu/eA+6MSHE7t/9hjj+WMM8444AsLwKpVqzjppJM44YQTABg6dCgvvfRS05wQSqAikqTGqEkATJo0iY4dO/L2228zf/58Bg0a1OCx5+bmsm7duqrX69evr2qWralMeXk527dvJycnB4B169Zx2WWX8dBDD9GjR4+Djt+qVSsuuOCCgxKDNFztP1HPnj1Zvnw5a9asoby8nBkzZhzw821sSqAikpTGqEkAPPPMM9xwww0ANGvWjA4dOjR47AMGDGDFihWsXr2affv2UVxczLBhww4oM3z4cJ599lkAXnzxRYYMGYKZsW3bNr773e9y++23c8YZZ1SV/+yzz9iwYQMQEu6sWbM4+eSTGzx2OVi7du2YNGkSV155JRdccAFdu3YlKyuryf5/JVARSUpj1CS2bdsGwMSJEznrrLO44oor+OSTTxo89uzsbO655x5GjhzJGWecwcUXX0x+fj4TJ06s+hIwevRotmzZQmFhIb/73e8YP348AJMnT2bbGGhjAAAQnElEQVTlypXce++9FBUVUVRUxMaNG9m1axejRo1i8ODBFBUV0bFjR77//e83eOyZ7nBr/7UZNmwYs2fPZtasWfTq1YuTTjqp4YOvhZYzE5GUKy8vZ/369QwcOJC77rqLBx98kNtvv52HH364wf+v8847j/POO++AbePGjat63qpVK5544omD3nfzzTdz880313jMP//5zw0a45Eosfafm5tLcXExjz766AFlKmv/AwcOPKD2X5eNGzfSsWNHPv30U6ZMmcKUKVMa8zQOoAQqIklJpibRuXPnetUkcnJyaN26NRdeeCEQmn2nTp3aOCcgKZFY+6+oqGDUqFFVtf+CggKGDx/O6NGjGTNmDIWFhbRv357HHnus6v39+/dnx44d7N+/nxkzZjBt2jT69OnDrbfeypIlSwD4yU9+Qq9evZrunJrsfxKRI0Jj1CTMjPPPP5/XX3+doqIiSkpK6N27d6Odw9gn2zfase+5fGujHTvTxa39AyxatKjG7YlJtqkpgYpIUhqrJjFhwgTGjBnDuHHjOOGEE/jtb3+bwrMUOTQlUJE0N3v2bMaNG0dFRQWXXnppVU/VVGqMmkSXLl2YMWNGg8Uo6acxa/7Q9LV/9cIVSWP1GXMpIqmhGqhIGksccwlUjbns06dPSuM60moSInGoBiqSxuoz5lJEUkMJVEREJAYlUJE0Vp8xlyKSGk2eQM3sOjNbaWZ7zGyBmQ05RPmhUbk9ZrbCzMYc7jFFMkV95m4VkdRo0gRqZt8Bfg1MBAqAN4CZZta1lvI9gFeicgXA3cBvzOySuMcUySS1zd0qIqnX1L1wbwSecPfJ0esfmtkw4Frg1hrKjwHWu/sPo9elZvYV4GZgWsxjimSUmsZcikjqNVkCNbMWQCFwX7Vds4Cv1vK2M6P9iV4FLjez5oDFOKZIWtBQEJHMZu7eNP+RWR6wDhjq7iUJ228HRrn7QRNfmtnfganu/vOEbUXAXCCPkECTPeY1wDXRy97AsgY4vWSdAGxKwf/bEBR76mRy/JkcO2R2/Io9ed3cveOhCh11Eym4+6PAo4cs2IjM7B13Pz2VMcSl2FMnk+PP5Nghs+NX7I2nKRPoJqAC6FRteydgQy3v2VBL+fLoeBbjmCIiIoetyXrhuvs+YAFQvTfEeYSeszWZX0v5d9x9f8xjioiIHLambsK9H3jazN4C5hF62eYBDwOY2VMA7n5ZVP5h4Adm9gDwCDAIuAL4Xn2PmaZS2oR8mBR76mRy/JkcO2R2/Iq9kTRZJ6Kq/9DsOmAskAssAX5c2QHIzP4fgLuflVB+KPAroB+wHviluz9c32OKiIg0hiZPoCIiIkcCzYUrIiISgxKoiIhIDEqgKWBmluoYjkb63EWkISmBpoDrxnNKVH7uSqRNz8x0rUmRxM9ev/sNS52ImoiZtQS+CHwL2Aa8D3wI/MPdd5qZpXtiNbMsQh76PNWxJMPMjgOKgO8CW4HlwN+BJe6+PpWx1ZeZZQOfZ9pnL+nBzNq4+45Ux3GkUQJtImb2f4ARQBnQHuhOGJbzAvCAu69IXXR1M7NCd19QbVsW4YKe9r9AZvYkIYEuJ3z2XQiJ9D1gsrvPSWF4dTKzwe7+erVtGZNMzawLcCXwZeAjwtzT7wN/c/et6frFMTGuTPq8E5lZPmG1qgLCl/U1wCKgxN3/EZVJy88/UyiBNgEz6wu8CYwEFrj7ZjPrCPwb8O/AF4AfES7mafUDMbOTCRe9pYRVbp5294UJ+40wIUcB8F40O1TaiD77vxJmp3rb3SvM7Hjg28BVwOnAz4E7SbMvBGbWh/C57wRmAL9x93kJ+w1oDpwPvOXuH6ck0FpE6/lOA44B3gZOJUyzuRn4C3C/u3+UughrF/195ldbpMKALKAinX5PamJmJxHWUv6YMMFMH8J1piUhmT7m7tVXukoLZtaJ8Pf6irtvqaNcc3ff33SR1cDd9WjkBzCO8K2v8nV2tf0TgQ+AvFTHWkPstxNqbr8iTI+4jvBlYCzQJSrTGfgcODHV8dYQ/w3A6wmvW1TbPwb4B3BKqmOt5fdmIWFd278Q5oDeQFi+76SozL9En32XVMdbQ/wPAy8BX0jY1hW4BVgNbAQuSnWctcT+YPS5boie9622v1l0Lv8fkJXqeGuI/3fRZ98mYVsnwkxuJYQvZf+W6jhrif030We/BfgjcAHQslqZroR1oVumIsbKh27sN41SINfMegG4e7mZZZtZq2j/ZGAXoYaabnoTvsn+EriacFFfAowG5pvZS4RpFkvdfW3KoqzdIqCbmZ0DYU7m6LM/Jtr/R8LF/Hu1HSCFOhNqD48AFwH/CkwBvg4sN7O/Ac8SPvt/pCzK2vUD5rr7BjNrbmbZ7r7G3X/p7t2A2cAYM2uWhp1bvkz4AvA7YDCwxMw+NLNxZpbjoTn3csLMaBWpDLQW3YB33X2HmWWZWZa7f+zuT7h7EeHcrjaz1imOsyanE643NxFuufwJWGlmvzGzAVGZq4Ex7r43RTEC6oXbVEoItYeXzezbZtbS3cvdfQ+Au68kNA2l9Jehuujezwxgg7tvcPf33f1JQu3z34FfALsJ3xDvT12kdZpPqN1PNbMxZnZM9NnvBnD3zcBxpNl6idE95hnAUnffEj1KgAmEJttvEpqmz+LgBeXTxZ+B0VEHlv3RF8fmCV9eHgROAQZ6VK1IB2bWjXCP/C3gPwm/38OBVwktFpvMbB7wY0JtKR29CnzfzPq4e4WHWxctzKxFtP/3hBrpV1IX4sGidaPXAivd/XFgGNAf+DUwBHjbzBYT7u2m/LPXPdAmEv1i/Ao4jfAL8hYwJ3r+H8D/Arq7+86UBXkINd1zMLMRwPPAce6+KzWR1S26YN9FqOHvJjRBvwh8BnyfUMPona7xQxiK4NU6sZjZ+cBM0vSzN7NCQjPiBmCCu0+vtr8PoSNXTjrFb2ZtCb3lV7n73ITtxxAWqigEriP83rSp/DKWTqL7z8VAO+A/3X1Ktf2nAu8C7dLssz+W0NLyibv/tdq+1oT76DcTOmSm/LNXAm1CZtYB+AbhBnlPQvNoe2Au8Ii7P5vC8A5S00U72p5N1JHCzO4DTveEBQDSSdR0VRENZRlM+BZ7BjCAUOufTei8NTOFYR4katK0mj7/hDITgDPd/fwmC6yeKnt3Rrct7iF85pWdh2YCfQlfaFa6+7dTF2ndKjsOuXt5te3PAJ3T9fcewtAV4G5gFKGz2SzC7/uphL+F9/yfK1+lpZp6CZvZE4Q+AENSE1VCLEqgjcvMTgR6RS93EnpV7iYk0OMI9z43eR29zVIlIXYj3NRf5u4bEvYb4d7cOnd/OzVRJidqwupI+Bm0Aralc62/LmZ2FrDR3d9PdSx1ie71n0v44jiQcG90C+He/1R3X53C8OolsQcuoVdxCXC3u09LaWA1iGJtFn1xbEVo9Soi1OwGACuBqUBx4t9zOogmffDamvSjVoAXgd+5+5+aNLia4lECbTxmdi1hDFx/QqJcQWiyfQ14Pk07fgAHxb6T0PV9LaH58wV3X5bC8A4pute5O+F1nX+Y6aR67Jkm+qwvInxROYYw/vMv7r4tuqA7ofktre47w0Gxtyb0Op/r7p8klGkJnOvuM1ITZfISx22b2fHuvi3VMcVhZs0JLV7zUx0LKIE2mqi59kNgEqEnX0fCt/CzCM1X64Hr3X1pug1mPkTs+YRE+uMo9qx064VoZu0JvW9nEL5pv1H5+SYm0mig+VpPoxlaDhF74uD+fKDM3T9NWbA1iJoNfw+cTWi1WEdowdhFaD6c6u7Lo7I13iJIlRpiX0tI9nsIt1medvcPUhdh3aLk0gNYXVPv1HS7ziQ6VOxpq/q4Fj0abCzTD4G/1rJvMOFe0ArghFTHeiTFnhD/XkJHrQpCDejnhI5ClWW6EMZY9kx1vEdK7FFs/5vwBeDL0es+hCFPvwMWEDoVdUx1nDFifxuYnq6xR/HeQGgtehy4kDBxQla1Mm0JPYqbpzremLF/nWpjuVP50DCWxrMPaBP1dsPMWlZ2IfcwNdsowjfbr6UuxFplcuwQ5hx+nNBhqwB4jjDOc6mZvWlm1xAujCd7+k2hmMmxQxh28KRH98Td/QN3nwr8gDDsow/wdArjq0tdsd9EaH1J19gBvkP44tWLMEXofOBeMxtsYfYtCL39x3uqZ/A5WH1j/5mn0WxnSqCN53lCM9AN0Ti4vR4G8TcDcPc1wKfAiakMshYZG3t0f2opYZL+T9z9b+5+K2Fw9vnRvgmEYS2/TFmgNcjk2KGqd/YS4BILU+ERDeJv5mEsYglhHOWJZtY/lbFWl8mxQ9XUg/sJPcqHECZS+D3hi1gJMMfMbiHU9P5a64FSIJNjT3kV+Eh8EO75GHAxYZabHYRfiEL+OQXY6Gh791THe6TEnnAOLYmmjyP0nGxWbf9ZpO/UgxkbexTfGYRm518CnWrY34Uw/rZzqmM9wmLPJdTwz69hXwFh0orN0e9OWsWfybGrE1EjMrN2hITzVcLA7EHRrg2EJPW0u09ITXR1y9TYE8Yf9gR2esIE6wn7bgeucPeeqYv0YJkcO1R10GpGmJxiImGRgWnAHwgrgXyRUKvo6+5fTlWcNcnk2CtFQzzc3fdEQ1mAA9bBvQu4wN0LUhVjbTI1diXQBmZm/wJcSrhnsokw3vBT4HXCEJDmhHb+/+vuf09VnDXJ5NjhgPhvBD4hTJ9YRpjvttijdVcJ82iud/eXUxZsNZkce02iL2BXEO5bfYnQYrGH0Bnnbq82y0w6yfDYa+xpa2EWn3eBx9097Zr/ITNjVwJtYNEsGf0IvQ23ADmEgcynEC6Mt6XrH2Amxw61xl9A6LiyFrjX03cJpyfI0Nihavq7HYkXwKhW14owYciphFp12v3+ZHLsUHP8NZRpReio89+eRp1wMjl2UAJtUFENYQehqaEkYVtXwqTNVxFmIPq2u7+bskBrkMmxQ53xn0i4t3U1oXPC99It/kyOvZKZPULoRfkWYSzf9hrKtPc0XEQ7k2OHesffztNszDBkduyAOhE15INQg1gMnFHL/pbAO4RmoJTHe6TEXs/4W6Rr/JkcexTf9wgdPD4ljA9+hDDZdy/gmKjMcYThCaelOt4jJfY64v8WcFJC/JXT352a6niPlNgrH6qBNqDoRvjLhCnALgM+8oNX0PghYSHbL6UgxFplcuyQ2fFncuwAZjaZMOnDPYTkcznhIriMsJbsnwkLJ/za3VvUdpxUyOTYIbPjz+TYK2kcaAPyMH/p/yZ8a3oKuMzMulhYCaTyZvhQwniztJLJsUNmx5/JsUfjJ1cCn7r7Cne/z91PIyxIPZdwUXyOsHZjWk1CkMmxQ2bHn8mxJ1INtBFYmMHnZ4RFj3cSZtXYSJhPtgy4yt0Xpy7C2mVy7JDZ8Wdq7Bbm7+3k7h9YmLFqvydcWMzsO8B/AwPc/b1UxVmTTI4dMjv+TI69khJoI4qGJnydMCnBHkIN4o+exhNSV8rk2CGz48/k2CtFvVjNw5JaVxOa4VqnOq76yOTYIbPjz7TYlUCbiKXZyhPJyOTYIbPjz+TYK5nZjYSJwe9NdSzJyuTYIbPjz4TYlUBFpFFZWKqqIhO/CGRy7JDZ8WdC7EqgIiIiMagXroiISAxKoCIiIjEogYqIiMSgBCoiIhKDEqiIiEgMSqAiIiIx/P8AFz66+8+L9QAAAABJRU5ErkJggg==\n", + "image/png": "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\n", "text/plain": [ "
" ] }, - "execution_count": 59, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -415,7 +510,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ @@ -424,17 +519,17 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 27, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] }, - "execution_count": 65, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -443,12 +538,89 @@ "plot_histogram([device_counts_2, mitigated_counts_2], legend=['device, noisy','device, mitigated'])" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# References" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Tutorials\n", + "For detailed information about Qiskit, check out the tutorials in the Github repository:\n", + "\n", + "https://github.com/Qiskit/qiskit-iqx-tutorials\n", + "\n", + "For a pedagogical presentation of the mathematics behind the Bernstein-Vazirani algorithm, check out our open-source `Learn Quantum Computation using Qiskit` textbook:\n", + "\n", + "https://community.qiskit.org/textbook/" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Version" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It's good to note the Qiskit version that was used in your work. One way to do this is print the version at the bottom of the Jupyter notebook using" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "{'qiskit-terra': '0.9.0',\n", + " 'qiskit-ignis': '0.2.0',\n", + " 'qiskit-aqua': '0.6.0',\n", + " 'qiskit': '0.12.0',\n", + " 'qiskit-aer': '0.3.0',\n", + " 'qiskit-ibmq-provider': '0.3.2'}" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import qiskit\n", + "qiskit.__qiskit_version__" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "

This code is a part of Qiskit

© Copyright IBM 2017, 2019.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import qiskit.tools.jupyter\n", + "%qiskit_copyright" + ] } ], "metadata": {