From ea4f56f01971e30564ac3edd8ae95b6f6ab84a40 Mon Sep 17 00:00:00 2001 From: bartandrews Date: Fri, 1 Nov 2024 17:19:10 +0100 Subject: [PATCH] update notebook --- docs/how-to-guides/lucj_mps.ipynb | 84 +++++++++---------------------- 1 file changed, 24 insertions(+), 60 deletions(-) diff --git a/docs/how-to-guides/lucj_mps.ipynb b/docs/how-to-guides/lucj_mps.ipynb index 8239afa5d..6ed00f185 100644 --- a/docs/how-to-guides/lucj_mps.ipynb +++ b/docs/how-to-guides/lucj_mps.ipynb @@ -33,8 +33,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "converged SCF energy = -77.8266321248745\n", - "Parsing /tmp/tmp2pnmz0qj\n", + "converged SCF energy = -77.8266321248744\n", + "Parsing /tmp/tmp08hsp77h\n", "converged SCF energy = -77.8266321248744\n", "CASCI E = -77.8742165643862 E(CI) = -4.02122442107773 S^2 = 0.0000000\n", "norb = 4\n", @@ -45,7 +45,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "Overwritten attributes get_hcore get_ovlp of \n", + "Overwritten attributes get_ovlp get_hcore of \n", "/home/bart/PycharmProjects/ffsim/.ffsim_dev/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n", " warnings.warn(msg)\n", "/home/bart/PycharmProjects/ffsim/.ffsim_dev/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n", @@ -120,7 +120,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(CCSD) = -77.8742153637403 E_corr = -0.04758323886584472\n" + "E(CCSD) = -77.87421536374029 E_corr = -0.04758323886585589\n" ] }, { @@ -182,9 +182,18 @@ "name": "stdout", "output_type": "stream", "text": [ - "original Hamiltonian type = \n", - "converted Hamiltonian type = \n", - "maximum MPO bond dimension = 54\n" + "original Hamiltonian type = \n" + ] + }, + { + "ename": "AttributeError", + "evalue": "'MolecularHamiltonianMPOModel' object has no attribute 'H_MPO'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[3], line 6\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124moriginal Hamiltonian type = \u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;28mtype\u001b[39m(mol_hamiltonian))\n\u001b[1;32m 4\u001b[0m hamiltonian_mpo_model \u001b[38;5;241m=\u001b[39m \\\n\u001b[1;32m 5\u001b[0m MolecularHamiltonianMPOModel\u001b[38;5;241m.\u001b[39mfrom_molecular_hamiltonian(mol_hamiltonian)\n\u001b[0;32m----> 6\u001b[0m hamiltonian_mpo \u001b[38;5;241m=\u001b[39m \u001b[43mhamiltonian_mpo_model\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mH_MPO\u001b[49m\n\u001b[1;32m 7\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mconverted Hamiltonian type = \u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;28mtype\u001b[39m(hamiltonian_mpo))\n\u001b[1;32m 8\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mmaximum MPO bond dimension = \u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;28mmax\u001b[39m(hamiltonian_mpo\u001b[38;5;241m.\u001b[39mchi))\n", + "\u001b[0;31mAttributeError\u001b[0m: 'MolecularHamiltonianMPOModel' object has no attribute 'H_MPO'" ] } ], @@ -210,21 +219,10 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "501c1a64-576d-48c9-9018-5e2053adddd5", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -271,7 +269,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "e9d8e1b09ee778c2", "metadata": { "ExecuteTime": { @@ -279,20 +277,7 @@ "start_time": "2024-10-27T13:48:21.730120Z" } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "wavefunction type = \n", - "MPS, L=4, bc='finite'.\n", - "chi: [4, 15, 4]\n", - "sites: SpinHalfFermionSite('N', 'Sz', 1.000000) SpinHalfFermionSite('N', 'Sz', 1.000000) SpinHalfFermionSite('N', 'Sz', 1.000000) SpinHalfFermionSite('N', 'Sz', 1.000000)\n", - "forms: (0.0, 1.0) (0.0, 1.0) (0.0, 1.0) (0.0, 1.0)\n", - "maximum MPS bond dimension = 15\n" - ] - } - ], + "outputs": [], "source": [ "from ffsim.tenpy.circuits.lucj_circuit import lucj_circuit_as_mps\n", "\n", @@ -323,7 +308,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "a6a7d85060f3d8a2", "metadata": { "ExecuteTime": { @@ -331,17 +316,7 @@ "start_time": "2024-10-27T13:48:22.629846Z" } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "LUCJ (MPS) energy = -77.77532190749352\n", - "LUCJ energy = -77.84651018653335\n", - "FCI energy = -77.87421656438622\n" - ] - } - ], + "outputs": [], "source": [ "import numpy as np\n", "from qiskit.circuit import QuantumCircuit, QuantumRegister\n", @@ -380,21 +355,10 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "bf98d538-c182-4ede-917f-1eed31969c9a", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import matplotlib.gridspec as gridspec\n", "\n",