{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# MPS-MPO contraction schedule optimisation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we test an order optimisation algorithm for the MPO application. We use the algorithm which is based on the matrix bandwidth minimisation technique and is implemented in the `matrex` library." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import time\n", "import numpy as np\n", "from tqdm import tqdm\n", "import qecstruct as qec\n", "import matplotlib.pyplot as plt\n", "from mdopt.optimiser.utils import (\n", " ConstraintString,\n", " IDENTITY,\n", " SWAP,\n", " XOR_BULK,\n", " XOR_LEFT,\n", " XOR_RIGHT,\n", ")\n", "from examples.decoding.decoding import (\n", " linear_code_parity_matrix_dense,\n", " linear_code_constraint_sites,\n", " linear_code_prepare_message,\n", " linear_code_codewords,\n", " linear_code_checks,\n", ")\n", "from examples.decoding.decoding import (\n", " apply_bitflip_bias,\n", " apply_constraints,\n", " decode_message,\n", ")\n", "from mdopt.mps.utils import (\n", " create_simple_product_state,\n", " create_custom_product_state,\n", ")\n", "from mdopt.utils.utils import mpo_to_matrix" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def run_experiments(system_size, strategy):\n", " max_bond_dims = []\n", " max_entropies = []\n", "\n", " start_time = time.time()\n", "\n", " for _ in tqdm(range(NUM_EXPERIMENTS)):\n", " SEED = np.random.randint(1, 10**8) # Use a new seed for each experiment\n", " rng = np.random.default_rng(SEED)\n", "\n", " NUM_CHECKS = int(\n", " 3 * system_size / 4\n", " ) # Adjusted for BIT_DEGREE / CHECK_DEGREE = 3 / 4\n", " code = qec.random_regular_code(system_size, NUM_CHECKS, 3, 4, qec.Rng(SEED))\n", " code_constraint_sites = linear_code_constraint_sites(code)\n", "\n", " initial_codeword, perturbed_codeword = linear_code_prepare_message(\n", " code, PROB_ERROR, error_model=qec.BinarySymmetricChannel, seed=SEED\n", " )\n", "\n", " perturbed_codeword_state = create_custom_product_state(\n", " perturbed_codeword, form=\"Right-canonical\"\n", " )\n", " perturbed_codeword_state = apply_bitflip_bias(\n", " perturbed_codeword_state, \"All\", PROB_BIAS\n", " )\n", " perturbed_codeword_state, entropies, bond_dims = apply_constraints(\n", " mps=perturbed_codeword_state,\n", " strings=code_constraint_sites,\n", " logical_tensors=[XOR_LEFT, XOR_BULK, SWAP, XOR_RIGHT],\n", " chi_max=CHI_MAX_CONTRACTOR,\n", " renormalise=True,\n", " strategy=strategy,\n", " silent=True,\n", " return_entropies_and_bond_dims=True,\n", " )\n", "\n", " max_bond_dims.append(np.max(bond_dims))\n", " max_entropies.append(np.max(np.abs(entropies)))\n", "\n", " end_time = time.time()\n", " elapsed_time = end_time - start_time\n", "\n", " return (\n", " np.mean(max_bond_dims),\n", " np.std(max_bond_dims),\n", " np.mean(max_entropies),\n", " np.std(max_entropies),\n", " elapsed_time,\n", " )" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Define the system sizes to be considered\n", "system_sizes = [4, 8, 12, 16, 20, 24]\n", "\n", "# Constants\n", "CHI_MAX_CONTRACTOR = 1e4\n", "PROB_ERROR = 0.15\n", "PROB_BIAS = PROB_ERROR\n", "NUM_EXPERIMENTS = 300\n", "\n", "# Strategy settings\n", "strategies = [\"Naive\", \"Optimised\"]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 300/300 [00:01<00:00, 298.77it/s]\n", "100%|██████████| 300/300 [00:04<00:00, 60.67it/s]\n", "100%|██████████| 300/300 [00:18<00:00, 16.66it/s]\n", "100%|██████████| 300/300 [02:28<00:00, 2.03it/s]\n", "100%|██████████| 300/300 [39:17<00:00, 7.86s/it]\n", "100%|██████████| 300/300 [14:11:48<00:00, 170.36s/it] \n", "100%|██████████| 300/300 [00:01<00:00, 290.60it/s]\n", "100%|██████████| 300/300 [00:04<00:00, 72.76it/s]\n", "100%|██████████| 300/300 [00:15<00:00, 19.32it/s]\n", "100%|██████████| 300/300 [00:43<00:00, 6.82it/s]\n", "100%|██████████| 300/300 [11:47<00:00, 2.36s/it]\n", "100%|██████████| 300/300 [1:39:04<00:00, 19.82s/it]\n" ] } ], "source": [ "results = {\n", " strat: {\n", " \"max_bond_dims\": [],\n", " \"bond_dims_err\": [],\n", " \"max_entropies\": [],\n", " \"entropy_err\": [],\n", " \"compute_times\": [],\n", " }\n", " for strat in strategies\n", "}\n", "\n", "for strategy in strategies:\n", " for size in system_sizes:\n", " mean_bond_dim, std_bond_dim, mean_entropy, std_entropy, compute_time = (\n", " run_experiments(size, strategy)\n", " )\n", " results[strategy][\"max_bond_dims\"].append(mean_bond_dim)\n", " results[strategy][\"bond_dims_err\"].append(std_bond_dim)\n", " results[strategy][\"max_entropies\"].append(mean_entropy)\n", " results[strategy][\"entropy_err\"].append(std_entropy)\n", " results[strategy][\"compute_times\"].append(compute_time)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 5))\n", "\n", "plt.subplot(1, 2, 1)\n", "for strategy in strategies:\n", " plt.errorbar(\n", " system_sizes,\n", " results[strategy][\"max_bond_dims\"],\n", " yerr=results[strategy][\"bond_dims_err\"] / (np.sqrt(NUM_EXPERIMENTS)),\n", " label=f\"{strategy} Strategy\",\n", " fmt=\"-o\",\n", " capsize=5,\n", " linewidth=3,\n", " )\n", "plt.xlabel(\"System Size\")\n", "plt.ylabel(\"Max. Bond Dimension\")\n", "plt.title(\"Max. Bond Dim. vs. System Size\")\n", "plt.grid()\n", "plt.legend()\n", "\n", "plt.subplot(1, 2, 2)\n", "for strategy in strategies:\n", " plt.errorbar(\n", " system_sizes,\n", " results[strategy][\"max_entropies\"],\n", " yerr=results[strategy][\"entropy_err\"] / (np.sqrt(NUM_EXPERIMENTS)),\n", " label=f\"{strategy} Strategy\",\n", " fmt=\"-o\",\n", " capsize=5,\n", " linewidth=3,\n", " )\n", "plt.xlabel(\"System Size\")\n", "plt.ylabel(\"Max. Absolute Entropy\")\n", "plt.title(\"Max. Absolute Entropy vs. System Size\")\n", "plt.grid()\n", "plt.legend()\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "plt.subplot(2, 1, 1)\n", "for strategy in strategies:\n", " plt.plot(\n", " system_sizes,\n", " results[strategy][\"compute_times\"],\n", " label=f\"{strategy} Strategy\",\n", " marker=\"o\",\n", " linestyle=\"-\",\n", " linewidth=3,\n", " )\n", "plt.xlabel(\"System Size\")\n", "plt.ylabel(\"Compute Time (s)\")\n", "plt.title(\"Compute Time vs. System Size\")\n", "plt.grid()\n", "plt.legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "mdopt-ZdbamFdU-py3.10", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 2 }