From 0752db5d32279097ed9d2452b58e60cbde521d78 Mon Sep 17 00:00:00 2001 From: Julien Gacon Date: Tue, 11 May 2021 16:46:08 +0200 Subject: [PATCH] Update VQE tutorial (#45) * update to latest VQEProgram version from nature * update imoprt location and REM -> MEM, and re-run * add nature to the requirements --- requirements.txt | 3 ++- tutorials/vqe.ipynb | 51 ++++++++++++++++++++++++++------------------- 2 files changed, 32 insertions(+), 22 deletions(-) diff --git a/requirements.txt b/requirements.txt index c2cacdcdf..8dd53f5e8 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1,6 +1,7 @@ qiskit-terra>=0.17.3 +qiskit-nature>=0.1.2 qiskit-ibmq-provider>=0.13.1 jupyter numpy matplotlib -pylatexenc \ No newline at end of file +pylatexenc diff --git a/tutorials/vqe.ipynb b/tutorials/vqe.ipynb index 04b749444..b95c691be 100644 --- a/tutorials/vqe.ipynb +++ b/tutorials/vqe.ipynb @@ -87,7 +87,7 @@ "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAegAAADWCAYAAAAaVxFlAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAAzNUlEQVR4nO3dd0AUd/o/8PcuSxUVDfYepQiKIgJ2YklEzC+KLdH7egbN2Yk1JuqpQRK8GGNJYowenuWMJPYYKSY2YkNQiUYFiYIggiAq4lKEZff3h+cqbXaBWT6f2X1e/1yYmR3ecg/Pw85OkWk0Gg0IIYQQwhU56wCEEEIIqYgGNCGEEMIhGtCEEEIIh2hAE0IIIRyiAU0IIYRwiAY0IYQQwiEa0IQQQgiHaEATQgghHKIBTQghhHCIBjQhhBDCIRrQhBBCCIdoQBNCCCEcogFNCCGEcIgGNCGEEMIhGtCEEEIIh2hAE0IIIRyiAU0IIYRwiAY0IYQQwiEa0IQQQgiHFKwDEKKPuLg4ndts2bIFU6dOFdzG09NTrEiE1BrVNRFC76CJ0QgNDWUdgRDRUV2bLhrQhBBCCIdoQBNCCCEcogFNjMaOHTtYRyBEdFTXposGNCGEEMIhGtDEaEyaNIl1BEJER3VtuugyKx0uLNuGR9dTmHzvxq4d4B0cUKPXsspdm8yEED5Q36seQ/U9GtA6PLqegqzzN1jHqDap5iaEsCfV/iHV3FWhQ9zEaHzwwQesIxAiOqpr00UDmhgNXXdbIkSKqK5NFw1oYjT8/PxYRyBEdFTXposGNDEaOTk5rCMQIjqqa9NFJ4mJxHd/EJp4OEKtUkFTqoYyLRtXNhxA6pHzrKNVSYqZCSH8kGIPkVJmGtAiurJ+H66u3w+ZmRydJw+Dz3dzcPBaCp7euc86WpWkmLkqzs7OrCMQIjre61qKPUQqmekQtwFoStVI2nUMcnMFGru2Zx1HL1LMXN7OnTtZRyBEdFKpayn2EN4z04A2ALm5Ak6ThgIA8pIzGafRjxQzlxcSEsI6AiGik0pdS7GH8J6ZDnGLyO3DUegy/R0obK2gKSnF2fnf4XFCKgBgwMY5SD54BunHLgEABm1bhMTtR5ERfYVlZMHMDuMHoeMYH+22tu2aIutCIk7P2sAqrqBDhw5hyZIlrGNUi0ajgUwmYx2DcIz3uqa+Zzhcv4NWq9VYs2YNHBwcYGVlhW7duiE6OhpOTk5cXht49esD2O08CT+6Tkb6iXg079tFuy52+Ta4L3oPChsrtPXzRnFeAfMiBYQz/xV2AlGjVyBq9ApET18HVcEzxK/azTCtcUhMycWM4LOw67MTZt3/g1ZDwvDpd5fx4FEh62iEVBv1PcPhekBPmTIFwcHBmDZtGiIjIzFu3DiMHz8eycnJ8PDwYB2vSsVP8nF2wSa0HtwDbYZ6AgCKHuYhITQc3p9NRre5oxG7YjvbkOVUlllLJkP/jXNwOeQHKNMfsAloJI6eTUf3sYeweV8inihLoNEAGdkFCPo+Hu7jDiE5PY91REJqhPqe+Lgd0GFhYdi+fTsOHz6MhQsXYuDAgVi6dCl69+4NlUqFHj16sI4oqDhXietbjqDH4gnA/w5h3tpzCg06tkBCaASKc5WME1ZUWWYA6L5gLHITU5EWFccwnW7h4eGsIwh68KgQ/vOOoaSkFBpNxfWZOYXwn3MMmspWEpPFe12/ivqeuLgd0CEhIfD19YWPj0+Z5Z06dYK5uTnc3NwAAHfu3IGPjw8cHR3RtWtXnD59mkXcSiX8Oxw2Te3QaezLf8PTlPvI4+xU/leVz9yiX1e09OmGi8G7GCfTLTExkXUEQVsPJqGwqBTqKuavWq3B1b8e48zlrLoNRrjGe12XR31PPDINh3+up6eno02bNti6dSsmT55cZt348eORmJiI+Ph4AMDQoUMxYsQIzJw5E+fOncPYsWORkpICCwsLwe+h74k5HzceAGeLJjX7h1Si3/pZSNp9HNmxun/pEosf4ItHv9fo+4iR27qJHYbu/xTHJnyu9yGe2mQWos8DA0JDQ3VuFxoaKlak6uvwEVDPAZAJ/F2s0QAPIoCsg3WXizDDa11T3zNs39N37HJ5Fnd6ejoAoHnz5mWWFxYWIjo6GsOGDQPw/BZ4Z86cweHDhwEAffr0QcuWLXHy5EkMHTq0bkMbIbd5Y2BR3wb9NszWLnty+x7OL9rCMJWEyRTCwxkAoHm+HSGECZ76HpfvoG/dugUHBwesW7cOc+fO1S4PCgrCp59+io0bN2LmzJm4fPkyxowZg+TkZO0248aNw5AhQ0Q7yzty1HJmzxdt1tsFww6srNFrWeWuTWYhcXG6Pwfy8vJCbGys4Daenp6C6w3pH5+exn8OJlV5iPuF/6zsj4CRjnUTijDFa11T36seQ/U9Lv9Uf/311+Hm5oaQkBA0btwYrVq1wr59+xAREQEAXJ/BTdhZvHgx6wiCpo/rjNADSVWul8kAWxtzvDv09TpMRXjHe10Tw+HyJDG5XI69e/fC1dUVM2bMQEBAAOzt7TFr1iyYmZlpTxBr27YtsrKy8OzZM+1rU1JS0K5dO1bRCUP+/v6sIwjycLHH7PEula6TyZ5//Lzpn31gY83l382EEd7rmhgOlwMaABwdHXHy5Enk5+cjLS0NwcHB+PPPP+Hi4gJra2sAgL29Pfr27YutW7cCAM6dO4d79+5h4MCBLKMTRry8vFhH0GnDx72wak5PNGpQ9iTG11vXx4F1g/G34Z0YJSO8kkJdE8OQ1J/qFy9eRK9evcos+/777/H+++9j/fr1sLCwQFhYmM4zuAlhRS6X4ZMp3TBvYhdY9dwOADiz42306d6UbvlJCClDMgNaqVQiKSkJM2fOLLP89ddfx++/i39ZT3X0WDIBTT2dkR2XiLxbGega6I9zizYj6/wNuM54B219PaFMz8GZOd/CzMIcQ/csR96d+zg9+2tucwNAWz9veK8MwN6e06GwseImtzGwtDDT/ndf92YMkxBSc1X2kJgE9P8mEPVa2UNdrEL0jHUoLSph1kOqypkddxPDDq5Eo85tcXjIR3h65z5s2zRF/28CodFoUJDxEKcDv4FGrcbgnYth0dAGkSOW1Vlubg9xl2dra4vS0lIEBgayjlKGnVMbmNvaIMp/OSwb1YfCxgrXNh1G1vkbsHqtAVr07YLIEcvw+EYq2vp6QVVQhOjp61jHFsz9QvvhvZCf8RAAuMktpF+/fqwjECI6XutaqIc07tIe6mIVovyX49ZPJ/H6qP7MeohQTo2qFCcCViP1SIx2++K8fBybuApR/svx9G42Wg12BwAc//uqOs8umQHNq2benbU3f8+IvgqNWq1d91q3jrh/7joAIPP0VTTtyc+lM0K5AaDVIHdknP4TGo26spdzae3atawjECI6XutaqIcUZD6CzOz5eLFoUA/PHj9lkhHQ3euKcp6U+br4ST5KnhYAADQlpdCUsuuBNKBrycLOFu4Lx8F3fxC6zRkFCzvbl+sa1kOJ8vkTiorzCmDRoB6rmBUI5QaATuPeQPJ+th8dVNf8+fNZRyBEdLzWtVAPefboKcysLDDy9/VwmvQWUiMucJlTiHWzRmgxwI3p07ck8xk0r4pzlYj/8ifc/fUiWg/xQL2Wr2nXleQVoF6L51+b17dGcV4+q5gVCOVu3rcLHlxKgrpExTBh9Z05c4Z1BEJEx2tdC/WQlm90Q9HDPBwaMBfthvdCl+nv4Mq6fdzlrIrcQoH+G2bj3Eff0ztoKcu6kIBmvZ5f29q8jytk8pc/0pw/bqFZ7+frWvZ3w4NLVd+koq4J5W7k3BZt3uqJN3cvhZ1jG7h//B6rmIQQTgn1EADaJ1c9e/QU5g1s6jzfC7pyVqbPl9ORuD0KT5LSDR1PEA3oWsq9eRdqlQq++4OgVqmgKijSrit6mIesmAQM+zkYjV3bc/W4RqHcCVsjcHRsEH6b8Dlyk+4i/osfGSYlhPBIqIdkRF9BQ4dW8N0fhO6L3sXN7Ue5zAkAPpvno6VPN/TbMBtthnqiiYcj2vl5w+Ufb8N3fxDaDmN3HTod4hbB5ZDd2v9uN7wXugb6Iy8lE1nnb+DaxkO4tvGQdr3Cxgr9N36InD9uM0hallDuF15cUsBT7qroul8xIVLEc10L9ZBT//iqzLYse4hQzuhpFU/C+8FhYoVlg3cuRmFWriFjVkADWmSp4TFIDY+pcr2qoKhOr6PTl1Rzv+rgwYN0W0RidKRS11LpIbpyVoXFZVY0oHVo7NpBkt+bVW6WP69Vq1ZJopERUh0s6pr6Hh/flwa0Dt7BAawj1IhUcxNC2JNq/5Bq7qrQSWKEEEIIh2hAE6Px1Vdf6d6IEImhujZdNKCJ0XB2dmYdgRDRUV2bLhrQxGgMHz6cdQRCREd1bbpoQBNCCCEcogFNCCGEcIgGNDEa7u7urCMQIjqqa9NFA5oYjfj4eNYRCBEd1bXpogFNCCGEcIgGNCGEEMIhGtDEaOzYsYN1BEJER3VtumhAE0IIIRyiAU2MxqRJk1hHIER0VNemi55mpcOFZdvw6HoKk+/d2LVDjZ/Owip3bTITQvhAfa96DNX3aEDr8Oh6CrLO32Ado9qkmpsQwp5U+4dUc1eFDnETo/HBBx+wjkCI6KiuTRcNaGI0pk6dyjoCIaKjujZdNKCJ0fDz82MdQac8ZTH2/ZqCT9bHaZe9+9EJfLYlHr+eS0dJiZphOsIjKdQ1MQz6DFokvvuD0MTDEWqVCppSNZRp2biy4QBSj5xnHa1KUswsJCcnh3WEKt3LysdnW/7Af4/cQn6hqsy6PUdTsOfo8xNbWja1wfSxzljw966wsaZfT8J3XUuxh0gpM72DFtGV9fvwQ6eJCHMJwK09p+Dz3RzUb9+cdSxBUswsNTsP/wVX/wP4fm9iheFcXkZ2AZZvvIzu4w7i3B9ZdZSQkJqTYg+RSmYa0AagKVUjadcxyM0VaOzannUcvUgxc3nOzs6sI1Sw7NtLmPTP3/FEWVyt1/2VmoeBUyLw88lUAyUjUsFjXVdGij2E98w0oA1Abq6A06ShAIC85EzGafQjxczl7dy5k3WEMr7ZfR2fbfmjxq8vLlFj3MITOBtP76RNGW91XRUp9hDeM9OHXCJy+3AUukx/BwpbK2hKSnF2/nd4nPD8HdCAjXOQfPAM0o9dAgAM2rYIiduPIiP6CsvIgpkdxg9CxzE+2m1t2zVF1oVEnJ61gVVcQSEhIViyZAnrGACAxJRcfLQ2VnAbzdUpAACZ29YqtykuUeP9Zb/jyl5/+kzaRPFU15Whvmc4XL+DVqvVWLNmDRwcHGBlZYVu3bohOjoaTk5OXF56cPXrA9jtPAk/uk5G+ol4NO/bRbsudvk2uC96DwobK7T180ZxXgHzIgWEM/8VdgJRo1cgavQKRE9fB1XBM8Sv2s0wrbBDhw6xjqA154sYPCsW54zsW2l5WLPjT1H2VRtFz1TYdeQWPlkfh2XfXsKZy/eh0WhYxzJ6PNV1ZajvGQ7XA3rKlCkIDg7GtGnTEBkZiXHjxmH8+PFITk6Gh4cH63hVKn6Sj7MLNqH14B5oM9QTAFD0MA8JoeHw/mwyus0djdgV29mGLKeyzFoyGfpvnIPLIT9Amf6ATUAJuZmSi1/P3RN1n9/vTWR6CdbeX1PQYlAYJi6JxuptV/HZlj/Q//1w9Bh3CMnpecxyEX5Q3xMftwM6LCwM27dvx+HDh7Fw4UIMHDgQS5cuRe/evaFSqdCjRw/WEQUV5ypxfcsR9Fg8AZDJAAC39pxCg44tkBAageJcJeOEFVWWGQC6LxiL3MRUpEXFCbyavLAr/Lbo+8x8UIDjFzJE368+jkSn4d2PTmhPdHv1TfPVvx5jwPvhyH5YyCQb4Qv1PXFxO6BDQkLg6+sLHx+fMss7deoEc3NzuLm5AQCWL18OR0dHyOVy7Nu3j0XUKiX8Oxw2Te3QaezLf8PTlPvIu3OfYSph5TO36NcVLX264WLwLsbJdAsPD2cdAQAQe80wf20bar9CNBoNPvoqFjKUHcwvqNUa3MsuwMYfE+o8m6ngpa71RX1PPFyedZKeno5r165h3rx5FdalpaXB1dUVlpaWAABfX1+8//77mDx5cl3HLCNq9IoKy0qUhQhz4ffJTroyWzexg3fIFByb8DnUJcLX7/IgMTERTZo0YR0Df/712CD7vZr0yCD7FRL75wMk3nmic7st+xMRNIvvo1pSxUtdV4b6nmFxO6ABoHnzsheOFxYWIjo6GsOGDdMu69OnT42+h+yVQxlCPm48AM4WbH45oqOj4adnzvLEyO02bwws6tug34bZ2mVPbt/D+UVbqnxNbTIL0eeBAaGhoTq38/LyEitS1Vy+AcystV++OFu7KlWtL3929/6DRyBbN6T2+aqjgQfQbobOze7nFEImkwOgk8aqg9e6pr5n2L6n78mVXA5oe3t7AEBSUlKZ+9CuXr0amZmZXJ8gpsuZuRtZR9DbhSWhuLAklHUM6dEY6K9uQ+1XiFrPz5bVz0DDmVSF+l7NyDQcXiehVqvh7u6OzMxMrFmzBq1atcK+ffsQERGBtLQ0xMTEwNvbu8xr3njjDcyePRtjxowRNUvkqOXMni/arLcLhh1YWaPXsspdm8xC4uJ0n6jh5eWF2Fjha489PT0F14uhz8RfcP5Kts7t9LkO+lULJ3XFlwvq4AjAK54Vl6LVkDA8zH1W5TZyGRAw0hGhQf3rMJlx4LWuqe9Vj6H6Hpcnicnlcuzduxeurq6YMWMGAgICYG9vj1mzZsHMzEx7ghghr1q8eDHrCAAADxd7A+33NYPsV4ilhRk+er9rlevlMkChkGPu/7nWYSrTwktdk7rH5SFuAHB0dMTJkyfLLJs4cSJcXFxgbW1dxauIKfP392cdAQAwekh7fBsm7l/x1pZm8O3bWtR96uuj991w934+Nv6YALkMUL9yzM3C3Ax7vxqELg6NmWQzBbzUNal7XL6DrsrFixcrfP68bNkytG7dGufPn8e0adPQunVr3L4t/nWohH91cgKYHnx6Nkfn1+1E3ecEv46wa2Ap6j71JZfL8O2SPojd/Q4mjXDQLg+e3QMpUePwtk9bJrlMBS91Teoet++gy1MqlUhKSsLMmTPLLA8ODkZwcDCjVM/1WDIBTT2dkR2XiLxbGega6I9zizYjO+4mhh1ciUad2+LwkI/w9M59KGysMHTPcuTduY/Ts7/mMnfW+RuYcHMHHl27AwA4MeVLFOcqMXjnYlg0tEHkiGVMc/NOJpNhzQIvDJ/1qyj7q1/PHMunu4uyr9rw7NIEnl2aYNuhvwAA/5zKPhNhR6h/eH82GY06t8PT1CycW/g9NGo10/5RnR5t2bg+Bm//BGqVCsV5BYievg4yuZxJ35bMO2hbW1uUlpYiMDCQdZQy7JzawNzWBlH+y2HZqD4UNla4tukwss7fgEZVihMBq5F6JEa7vaqgCNHT1zFM/JxQbgB4nJimvR/ti7v/HP/7KpaRJcWvfxsEjHTQvaEe1i70RtsWtqLsixAxCPWP17p1hNxCgajRK5B78y5av/n8qCer/lHdHl2cm4+IEf9E1KgVeHg1Ga2HeDDr25IZ0Lxq5t1Ze/P3jOir0KjL3i+5KEf3TR5Y0JW7YafWGHYoGB5L/sYiXo3069ePdYQyvlvaB0N6taxyvcxtq84zuBcFdMWUUY5iRyMSwltdA8L9o367Znh8Iw0A8Oj6HTTt6cQk4wvV7dEatVp72zyZmRxPU9g9hpIGdC1Z2NnCfeE4+O4PQrc5o2BhJ413OrpyH+gbiMiRy2BhVw9t3urJKGX1rF27lnWEMqwsFfjlmzfx/ojqv5O2MJdjzQIv/Guup9431SHGibe6BoT7R97tDDTr7QIAaN6vCywa2rCKCaBmPdq+eye8HfUFWvTrgqdpui+ZNBQa0LVUnKtE/Jc/IWr0Clz+4kcubwZfGV25X3ydFhUHO2dpnAQ0f/581hEqsLJUYFvwABz59k04d2io12sGebXApR9HYMGkrjScCZd1LdQ/Hl2/g9zENAzd9yksbK1R+IDtUcSa9OicP27hiO/HSIuIhcP4QXWQsnI0oGsp60ICmvX631+LfVwhk0vjRyqUW2Ftqf26qacTnnJ8k/tXnTlzhnWEKg0f0BY3Do3GidBhmPluZ3h3bQK7+hawtjJDk0ZWGOzdEp9MccP1g6NwPNSPLlsiWjzWta6+d2XdPhwd8ymePVYi/dhlFhG1qtuj5eYvz50uVhaitKjYoPmESOYsbl7l3rwLtUoF3/1ByL50E6qCIsgUZtr1Ppvno5mXM+p3aIFr3/2Mu0f5eGSjUO4Gr7dA33UzUZJfBGVaNv74cg/jtMZBJpNhoFdLDPSq+nNpQqRAsO/JZPDd9ynUpWpknvkTOfF/8ZsVFXt0YdZj9Fw+ERq1Bs9ylTgdyO5qGxrQIrgcslv73+2G90LXQH/kpWQi6/wNRE8r+/mRwsYK/Td+iJw/2F+rLZT7l7cWVdh+8M7FKMzKrcOEhBBeCfWPyp4YxbJ/VKdHA0DUqLL5WfVtGtAiSw2PQWp4TJXrVQVFXF5HrCs3wP9lVrruV0yIFEmhrqXUP/TJWh6rvk0DWofGrh0k+b1Z5Wb58zp48CDdFpEYHRZ1TX2Pj+/L5dOsCCmP16f+mKIX127res410Y3qmgiRxinHhBBCiImhAU0IIYRwiAY0MRpfffUV6wiEiI7q2nTRgCZGw9nZmXUEQkRHdW26aEATozF8+HDWEQgRHdW16aIBTQghhHCIBjQxGu7u7qwjECI6qmvTRQOaGI34+HjWEQgRHdW16aIBTQghhHCIBjQhhBDCIRrQxGjs2LGDdQRCREd1bbpoQBNCCCEcogFNjMakSZNYRyBEdFTXposeN6nDhWXb8Oh6CpPv3di1A7yDA2r0Wla5a5OZEMIH6nvVY6i+RwNah0fXU5B1/gbrGNUm1dyEEPak2j+kmrsqdIibGI0PPviAdQRCREd1bbpoQBOjMXXqVNYRCBEd1bXpogFNjIafnx/rCEatpESNq0mPtF/fufcUGo2GYSLTQHVtuugzaGI0cnJyWEcwOkXPVNhzNAWhB24i9loOnhWXatd1GLYHr9lZ4q3erTDz3c7o694MMpmMYVrjRHVtumhAi8R3fxCaeDhCrVJBU6qGMi0bVzYcQOqR86yjVUmKmUndiTh9F1ODzuBedkGV2zzMfYawyGSERSZjsHdLbA3qh3Yt69dhSsKSFHuIlDLTIW4RXVm/Dz90mogwlwDc2nMKPt/NQf32zVnHEiTFzFWhB9uLQ63WYO4XMRg+61fB4Vze8QsZ6DLqAI5Epxkwnenhva6l2EOkkpkGtAFoStVI2nUMcnMFGru2Zx1HL1LMXN7OnTtZR5A8jUaDmZ+fw4Yfrtfo9coCFfznHkP47zSkxSKVupZiD+E9Mw1oA5CbK+A0aSgAIC85k3Ea/Ugxc3khISGsI0jef3+5hc17EwW30VydAs3VKVWuV5Vq8LdPonEvK1/seCZJKnUtxR7Ce2auP4NWq9VYu3YtNm/ejLt378LJyQlff/01pk6dCh8fH2zZsoV1xDLcPhyFLtPfgcLWCpqSUpyd/x0eJ6QCAAZsnIPkg2eQfuwSAGDQtkVI3H4UGdFXWEYWzOwwfhA6jvHRbmvbrimyLiTi9KwNrOIKOnToEJYsWcI6hmTdzynAnC9iRNnXE2UxpgWfxZFv3xJlf7X1NL8YBUWlaNzAEubm0npfwntdU98zHK4rdcqUKQgODsa0adMQGRmJcePGYfz48UhOToaHhwfreBVc/foAdjtPwo+uk5F+Ih7N+3bRrotdvg3ui96DwsYKbf28UZxXwLxIAeHMf4WdQNToFYgavQLR09dBVfAM8at2M0xLDGnTT4nIfVos2v7Cf7+LKzcfira/mog6k44h/4hEg97/RfOBu2E/YBfmfxmDzAf6f7ZOhFHfMxxuB3RYWBi2b9+Ow4cPY+HChRg4cCCWLl2K3r17Q6VSoUePHqwjVqn4ST7OLtiE1oN7oM1QTwBA0cM8JISGw/uzyeg2dzRiV2xnG7KcyjJryWTov3EOLof8AGX6AzYBiUGpVGps2S98aLsmvt8j/j71tWHXNQybeRSn4l4euszLL8H6XdfR872fcefeU2bZjBH1PfFxO6BDQkLg6+sLHx+fMss7deoEc3NzuLm54fHjx3j77bfh6OiIbt264a233sKtW7cYJS6rOFeJ61uOoMfiCcD/rg29tecUGnRsgYTQCBTnKhknrKiyzADQfcFY5CamIi0qjmE63cLDw1lHkKwbybm4n1Mo+n6Px2aIvk99xCfkYO7qCwCAUnXZm6loNMD9h4X4vyWnGCSrPinVNfU9cXE5oNPT03Ht2jWMHTu2wrq0tDS4urrC0tISMpkMc+fORVJSEq5cuYK3334bAQH8PEkp4d/hsGlqh05jX/6R8TTlPvLu3GeYSlj5zC36dUVLn264GLyLcTLdEhPZvVuTuks3DHMzjL9S8/BExMPm+vrupwTIBe6ZolZrcDY+m/kheH1Ira6p74lHpuHwXn0xMTHo3bs3wsPDy9zmrrCwEB07dsSwYcOwdevWCq+7ePEiRo4cifT0dJ3fQ987Hn3ceACcLZroH16HfutnIWn3cWTH6v6lSyx+gC8e/V6j7yNGbusmdhi6/1Mcm/C53od4apNZiD4PDAgNDdW5XWhoqFiRjEvTt4FmI8ssEjpTW4jMrdzvZtIy4FkdnyHr9C/Awl73dhlhwMPjhs9TBV7rmvqeYfuevmOXy7O47e2f/2IlJSWVGdCrV69GZmZmlSeIrV+/HiNHjqyLiCbBbd4YWNS3Qb8Ns7XLnty+h/OL+Dp7npCK9Dw4KOPyICJhiKe+x+U7aLVaDXd3d2RmZmLNmjVo1aoV9u3bh4iICKSlpSEmJgbe3t5lXhMUFITIyEicOHECNjY2omWJHLWc2fNFm/V2wbADK2v0Wla5a5NZSFyc7s+BvLy8EBsbK7iNp6en4HpT9f2eBMz47Jxe2754Z13hnXIVsk9NQJPG1jXOVhNjFxzHgeOpUKuF29up//jBp2eLOkpVEa91TX2vegzV97j881Eul2Pv3r1wdXXFjBkzEBAQAHt7e8yaNQtmZmZwc3Mrs/1nn32GI0eOICoqStThTKRl8eLFrCNIVo/OehwOroE2zevV+XAGgBnjOgsOZ7lcBuf2DTHAg7/bO5ZHdW26uDzEDQCOjo44efJkmWUTJ06Ei4sLrK1f/sIHBQUhIiICv/32G+zs7Oo4JeGJv78/6wiS5ebYCA1szZGnLBF1v/17sBmAA71aYNZ7nbHxxwTIALw6quVyGawszLAzxEcST9+iujZdXL6DrsrFixfLfP58/fp1fPrpp3j48CHeeOMNdO/eHd27d2cXkDDl5eXFOoJkWVkqMOkdB9H3O3WMk+j71IdMJsM3i3tjw8e90KpZvVeWA0P7tMK5/74Nzy7inQRlSFTXpovbd9DlKZVKJCUlYebMmdplrq6u9MB4QkQSON4Fm/cmorhELcr+erraMz2ELJPJ8OHfXDHrvc5QuG8DAKQefRdtmtsyy0RIdUhmQNva2qK0tFT3hgz0WDIBTT2dkR2XiLxbGega6I9zizYjPz0H/b8JhEajQUHGQ5wO/AYatRqDdy6GRUMbRI5YxmXurPM30GKAG9wC/SGTyxEXtANPbmVg6J7lyLtzH6dnf800NzEMh3YN8emMHljy9cVa78tcIcd/gvpzcQjZzOzlgUIazrVXVd/IjruJYQdXolHntjg85CM8/d91z64z3kFbX08o03NwZs63MLMwr/NeUt3MANDWzxveKwOwt+d0KGysmPQ/SR3i5pGdUxuY29ogyn85LBvVh8LGCtc2HUbW+RsozsvHsYmrEOW/HE/vZqPVYHcAwPG/r2KcWji3mZUFnCa+iV/fDUbU6BV4eDUZqoIiRE9fxzq2oH79+rGOIHkfvd8VQ/u0EtxG5rZV5xncGz7uha6OjcWMZrJ4qmuhvqFRleJEwGqkHnn5wBWr1xqgRd8uiByxDI9vpKKtr1ed95LqZn6h/fBeyM94fiMbVv2PBnQtNfPurL35e0b0VWjULw8PFj/JR8nT5zfl15SUQlMqzqFDMQjlbuLhCI1agyG7l6L/N4FQWFuyilkta9euZR1B8hQKOQ6sGwK//q1r9HqZDFi/yBsz3u0scjLTxVNdC/UNACjKeVLm69e6dcT9c8+fLZ55+iqa9nSsm6CvqG5mAGg1yB0Zp/+ERsO2Z9OAriULO1u4LxwH3/1B6DZnFCzsKh5Cs27WCC0GuHHxFJcXhHJbN2kIm2aNcGzC58iOuwnHv7/JMKn+5s+fzzqCUbCxVuDw129i7UfesLI00/t1ndo2wO/bhmPO/3XRvTHRG091rU+/K7N9w3ooUT6/x3txXgEsGtQT3N4QqpsZADqNewPJ+8W/I2J1SeYzaF4V5yoR/+VPuPvrRbQe4oF6LV8rs15uoUD/DbNx7qPvuXoHLZS7OK8AWbEJ0KjVyDx7DV1mvMMwqf7OnDnDOoLRMDOTY97ELhg9pD02701E6IGbyH5UVOm2PTq/hpnvdsYEv46wtqKWIjae6lpXvyuvJK8A9Vo838a8vjWK8/LrImYZ1c3cvG8XPLiUBHWJqo4SVo3eQddS1oUENOvlAgBo3scVMnnZH2mfL6cjcXsUniTpvj94XRLKnXPlNuwcnh/ibOzaHk/TsplkJOy1bWGLzz/sicwTE5D0yxj89OVAbPpnH2xe3hdRm4Yi+9QEXPppJKaMcqLhbAJ09bvycv64hWa9n2/fsr8bHlxKMnjG8qqbuZFzW7R5qyfe3L0Udo5t4P7xe3URs1L0G1VLuTfvQq1SwXd/ELIv3YSqoAgyxfPDgk08HNHOzxu2rZvA5R9v40ZoONIihW/ZV1eEcj97mIf752/A9+BKlBY+Q/TMDYzTEtbkchkc2jWEQ7uGrKMQhoT6BgD4bJ6PZl7OqN+hBa599zPuHo1DVkwChv0cjPz0HNz4d90/OrO6mRO2RiBhawQAYNjPwYj/4sc6z/wCDWgRXA7Zrf3vdsN7oWugP/JSMpF1/gZ+cJhYYfvBOxejMCu3DhNWTij3jS1HcGPLEe16hY0V+m/8EDl/3GYRVS+67ldMiBTxVtdCfSN6WsUT2q5tPIRrGw9pv2bRS6qb+YUXl8Ky6n80oEWWGh6D1PCKp+y/iofLrMrTlVtVUMT8um1dDh48SLdFJEaH57rWp9+Vx7qXSCkzDWgdGrt2kOT3ZpWb5c9r1apV3DYyQmqKRV1T3+Pj+9KA1sE7OIB1hBqRam5CCHtS7R9SzV0VOoubEEII4RANaGI0vvrqK9YRCBEd1bXpogFNjIazszPrCISIjuradNGAJkZj+PDhrCMQIjqqa9NFA5oQQgjhEA1oQgghhEM0oInRcHd3Zx2BENFRXZsuGtDEaMTHx7OOQIjoqK5NFw1oQgghhEM0oAkhhBAO0YAmRmPHjh2sIxAiOqpr00UDmhBCCOEQDWhiNCZNmsQ6AiGio7o2XfQ0Kx0uLNuGR9dTmHzvxq4davx0Fla5a5OZEMIH6nvVY6i+RwNah0fXU5B1/gbrGNUm1dyEEPak2j+kmrsqdIibGI0PPviAdQRCREd1bbpoQBOjMXXqVNYRCBEd1bXpogFNjIafnx/rCIQjSXeeYO3OPzHh45PaZQOnRGDuFzH4MfI2CgpVDNPpj+radNFn0CLx3R+EJh6OUKtU0JSqoUzLxpUNB5B65DzraFWSYmYhOTk5rCMQDly4mo1lGy/ht/MZFdadisvEqbhMbPgBaNTAAv8Y7YR/Tu2O+vUsGCTVD891LcUeIqXM9A5aRFfW78MPnSYizCUAt/acgs93c1C/fXPWsQRJMTMhlSkpUePjdbHo8/cjlQ7n8h7nFWP1tj/RdfRBRF/MrIOExkmKPUQqmWlAG4CmVI2kXccgN1egsWt71nH0IsXM5Tk7O7OOQBgpKVFj7MLjWL3tT6jVmmq9NjVDiTenRuHnk6kGSlc7UqlrKfYQ3jPTgDYAubkCTpOGAgDykqXxl7kUM5e3c+dO1hEII7NXncPPJ9Nq/PoSlRrjFp5A3LUHIqYSh1TqWoo9hPfM9Bm0iNw+HIUu09+BwtYKmpJSnJ3/HR4nPP+rfMDGOUg+eAbpxy4BAAZtW4TE7UeREX2FZWTBzA7jB6HjGB/ttrbtmiLrQiJOz9rAKq6gkJAQLFmyhHUMUsciTt/Fln03BbfRXJ0CAJC5ba1ym+ISNd5f9jsu/TgCVpb8tEbe65r6nuFw/Q5arVZjzZo1cHBwgJWVFbp164bo6Gg4OTlxeenB1a8PYLfzJPzoOhnpJ+LRvG8X7brY5dvgvug9KGys0NbPG8V5BcyLFBDO/FfYCUSNXoGo0SsQPX0dVAXPEL9qN8O0wg4dOsQ6AqljarUGH/5LvJN7btzOxaY9iaLtTwy81zX1PcPhekBPmTIFwcHBmDZtGiIjIzFu3DiMHz8eycnJ8PDwYB2vSsVP8nF2wSa0HtwDbYZ6AgCKHuYhITQc3p9NRre5oxG7YjvbkOVUlllLJkP/jXNwOeQHKNP5OwRITNev5+7h9t2nou5z056Ean+OTajvGQK3AzosLAzbt2/H4cOHsXDhQgwcOBBLly5F7969oVKp0KNHD9YRBRXnKnF9yxH0WDwBkMkAALf2nEKDji2QEBqB4lwl44QVVZYZALovGIvcxFSkRcUxTEdIRbsjbou+z79S83DxOr+XNvGM+p64uB3QISEh8PX1hY+PT5nlnTp1grm5Odzc3AAAI0eOhJubG9zd3eHl5YVjx46xiFuphH+Hw6apHTqNfflveJpyH3l37jNMJax85hb9uqKlTzdcDN7FOJlu4eHhrCOQOhZ33TDvbC4aaL81IbW6pr4nHn7OhHhFeno6rl27hnnz5lVYl5aWBldXV1haWgIAtm/fDjs7OwBAfHw83njjDTx69AhmZmZ1GRlRo1dUWFaiLESYC79PdtKV2bqJHbxDpuDYhM+hLuH/rkuJiYlo0qQJ6xikjqhUaty888Qg+75267FB9lsTPNc19T3D4nZAA0Dz5mUvHC8sLER0dDSGDRumXfZiOAPAkydPIJPJoNHo/vxI9sqhDCEfNx4AZws2vxzR0dHw0zNneWLkdps3Bhb1bdBvw2ztsie37+H8oi1VvqY2mYXo88CA0NBQndt5eXmJFYmwJrMAunxXZtGLs7WrUtX68md3b/p+KzYt61e7fHrgta6p7xm27+kzowBOB7S9vT0AICkpqcx9aFevXo3MzMwKJ4jNmjULkZGRePLkCfbv3w+Fgst/FgDgzNyNrCPo7cKSUFxYEso6BiGV05T+7381ZT47FGffJeLuz8RR36sZmUbfUV6H1Go13N3dkZmZiTVr1qBVq1bYt28fIiIikJaWhpiYGHh7e1d4XXR0NObNm4fff/8dtra2omSJHLWc2fNFm/V2wbADK2v0Wla5a5NZSFyc7hM1vLy8EBsbK7iNp6en4HoiLY7/by/+Ss3TuZ0+10G/6utPeiFwgmutsumD17qmvlc9hup7XJ4kJpfLsXfvXri6umLGjBkICAiAvb09Zs2aBTMzM+0JYuX5+PhALpfj7NmzdZyY8GDx4sWsI5A61tPF3jD7dTXMfmuC6tp0cXss2NHRESdPniyzbOLEiXBxcYG1tTUAQKlU4uHDh2jXrh2A5yeJ3b59G507d67zvIQ9f39/1hFIHXvX93WERSaLus92LW3h1YWfk7Kork0XtwO6MhcvXkSvXr20X+fn5+Pdd9+FUqmEQqGAlZUVdu3ahbZt2zJMSVjR51AgMS7D+7dB2xb1kJaZL9o+p491hpkZPwcXqa5Nl2QGtFKpRFJSEmbOnKld1qxZM8TExDBM9VyPJRPQ1NMZ2XGJyLuVga6B/ji3aDNyb97F4O2fQK1SoTivANHT10Eml2PonuXIu3Mfp2d/zWXukrwCeK18fslBvdb2SAiNwI1/h2PwzsWwaGiDyBHLmOYm5AWFQo61C70xZsEJUfbXsU19BI53EWVfxqqqvpEddxPDDq5Eo85tcXjIR3h65z5kCrMKyxQ2VnXeA6uTGQAm3NyBR9fuAABOTPkSxblKJv2Pnz8TdbC1tUVpaSkCAwNZRynDzqkNzG1tEOW/HJaN6kNhY4Vrmw4j6/wNFOfmI2LEPxE1agUeXk1G6yEeUBUUIXr6OtaxBXM/un5Hey/axzfScPe35ze6P/73VYxTE1LR6Dc7YIJfR8FtZG5bdZ4gZmYmw7aVA1DPxlzMeEZFqG9oVKU4EbAaqUdevmmqbFld98DqZgaAx4lp2h744u5nLPqfZAY0r5p5d9be/D0j+io0arV2nUatfn4JCACZmRxPU/h5nJlQ7hcU1pawbmqn/auSd/36Gf66VcKnrUH9MKRXyxq/Xi6XYcdnA9Dfo7nujesYT3Wtq28U5VS8cUxly+pSTTI37NQaww4Fw2PJ3+okY1Ukc4ibVxZ2tnCa+CZcp74NiwY2SPnlfJn/w+27d0Kvf/0Dpc+Kcf37XxgmLUtXbgBoNcgd907GM0pYfWvXrmUdgTBiZanAL9+8ibmrL2Dz3uo9jarZa9b4z8r+8OvfxkDpaoenutanb/CmJpkP9A1Eca4SvVdPRZu3euLurxfrKG1Z9A66lopzlYj/8idEjV6By1/8WOFm8Dl/3MIR34+RFhELh/GDGKWsSFduAGjr543UiAsM0tXM/PnzWUcgDFlZKvD9sr74bYsvvLvqPgvb2tIM08Y64/rBUdwOZ4Cvutanb/CmJplfbJMWFQc7Z3YnHdOArqWsCwlo1uv5SSXN+7hCJn/5I5WbvzxAUawsRGlRcZ3nq4pQbgCQKcxg59AKj2+ksohXI2fOnGEdgXBgSK9WiPnhHVz8cQRWTHfH8AFt4NS+IV5vXR/uzq8hYKQDNi/vi3vHx+P7ZX3xmp0V68iCeKprXX2DR9XNrLC21G7T1NOJ6Ud8dIi7lnJv3oVapYLv/iBkX7oJVUERZIrnD+po7NoePZdPhEatwbNcJU4Hsj1r+1VCuQGgRb8uyDxzjWFCQmrHw8UeHga6kYmp0tU3fDbPRzMvZ9Tv0ALXvvsZd4/GVbqM58z56Q/Qd91MlOQXQZmWjT++3FOneV9FA1oEl0N2a/+73fBe6Broj7yUTGSdv4GoUWWfnKKwsUL/jR8i5w/xn2NbXUK5M05dQcapK2W2H7xzMQqzcus4JSGEJ0J9I3paxc/Lyy9j0QOrm/mXtxZVWMai/9GAFllqeAxSw6u+NltVUMTldcS6cgP8X2ZFN3Mgxojnutanb5THugfWJDPApv/RgNahsWsHSX5vVrlZ/rwOHjxIt0UkRodFXVPf4+P7cvk0K0LK4/WpP4TUBtU1EcL/KXiEEEKICaIBTQghhHCIBjQxGl999RXrCISIjuradNGAJkbD2dmZdQRCREd1bbpoQBOjMXz4cNYRCBEd1bXpogFNCCGEcIiugyaSoM9lJCtWrKDLTYikUF0TIXQdNCGEEMIhOsRNCCGEcIgGNCGEEMIhGtCEEEIIh2hAE0IIIRyiAU0IIYRwiAY0IYQQwiEa0IQQQgiHaEATQgghHKIBTQghhHCIBjQhhBDCof8PSkKXX8dj3ggAAAAASUVORK5CYII=\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -192,7 +192,16 @@ "cell_type": "code", "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/jul/opt/miniconda3/envs/stable/lib/python3.7/site-packages/qiskit/utils/run_circuits.py:564: UserWarning: Option max_credits is not used by this backend\n", + " return backend.run(circuits, **backend_options, **noise_config, **run_config)\n" + ] + } + ], "source": [ "local_result = local_vqe.compute_minimum_eigenvalue(hamiltonian)" ] @@ -206,7 +215,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Eigenvalue: -0.994140625\n", + "Eigenvalue: -1.0\n", "Target: -1\n" ] } @@ -232,7 +241,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Mean error: 0.014968352082564208\n" + "Mean error: 0.013757962876791466\n" ] } ], @@ -312,7 +321,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Since the Qiskit Runtime VQE runs on real hardware, we might want to do readout error mitigation. For this purpose the `VQEProgram` supports a boolean flag `readout_error_mitigation` that can be set to `True` to enable error mitigation with a complete measurement fitter." + "Since the Qiskit Runtime VQE runs on real hardware, we might want to do measurement error mitigation. For this purpose the `VQEProgram` supports a boolean flag `measurement_error_mitigation` that can be set to `True` to enable error mitigation with a complete measurement fitter." ] }, { @@ -321,7 +330,7 @@ "metadata": {}, "outputs": [], "source": [ - "readout_error_mitigation = True" + "measurement_error_mitigation = True" ] }, { @@ -330,7 +339,7 @@ "metadata": {}, "outputs": [], "source": [ - "from qiskit_runtime.vqe import VQEProgram\n", + "from qiskit_nature.runtime import VQEProgram\n", "\n", "# in this first release, the optimizer must be specified as dictionary\n", "optimizer = {'name': 'SPSA',\n", @@ -342,7 +351,7 @@ " provider=provider,\n", " backend=backend,\n", " shots=1024,\n", - " readout_error_mitigation=readout_error_mitigation,\n", + " measurement_error_mitigation=measurement_error_mitigation,\n", " callback=callback)" ] }, @@ -364,7 +373,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Eigenvalue: -0.947692038031636\n", + "Eigenvalue: -0.9756263578485963\n", "Target: -1\n" ] } @@ -383,7 +392,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Mean error: (0.009295459418135251+0j)\n" + "Mean error: (0.012858397132816049+0j)\n" ] } ], @@ -429,11 +438,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "Total time taken: 24.77min\n", + "Total time taken: 23.09min\n", "\n", - "Median time of the iterations: 26.76s\n", - "Average time per iteration: 29.72s\n", - "Standard deviation: 13.35s\n" + "Median time of the iterations: 27.12s\n", + "Average time per iteration: 27.71s\n", + "Standard deviation: 5.21s\n" ] } ], @@ -463,7 +472,7 @@ "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -539,7 +548,7 @@ " 'operator': hamiltonian,\n", " 'optimizer': {'name': 'SPSA', 'maxiter': 5}, # let's only do a few iterations!\n", " 'initial_point': initial_point,\n", - " 'readout_error_mitigation': True,\n", + " 'measurement_error_mitigation': True,\n", " 'shots': 1024\n", "}" ] @@ -607,7 +616,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Job ID: c2aga1418tu3tem8ghn0\n" + "Job ID: c2d4ut8likuqc7s4nqog\n" ] } ], @@ -632,14 +641,14 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Reached -0.41066745294814644 after 16 evaluations.\n" + "Reached -0.0805234521211203 after 16 evaluations.\n" ] } ], @@ -649,7 +658,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -688,7 +697,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.9" + "version": "3.7.10" } }, "nbformat": 4,