{ "cells": [ { "cell_type": "markdown", "id": "ef2caaad", "metadata": {}, "source": [ "# Clifford Annealing Qubit Hamiltonians\n", "\n", "Given some initial hamiltonian $\\mathcal{H}_{q} = \\mathcal{E}(\\mathcal{H}_{f})$ expressed in terms of Pauli operators we can apply Clifford gates to transform to another hamiltonian $\\mathcal{H}_{q}\\to C^{\\dagger}\\mathcal{H}_{q}C$. This is equivalent to applying a different encoding.\n", "\n", "The underlying optimisation is based on simulated annealing. Together with an initial hamiltonian, we initialise a Clifford operator $ B=\\hat{I} $. The procedure continues iteratively:\n", "\n", "Clifford operators are sampled randomly from the set: \n", "\n", "$$ \\{CNOT_{i,j}H_{i},\\ CNOT_{i,j}S_{i},\\ CNOT_{i,j}, | i\\neq j\\} $$\n", "\n", "With each iteration we sample a single operator $D$ and evaluate the change in the cost function. \n", "\n", "$$ \\Delta = C[D^{\\dagger}B H BD]-C[BHB] $$\n", "\n", "The operator is updated $B \\gets BD$ with probability \n", "\n", "$$ e^{-\\beta(t)\\Delta} $$\n", "\n", "where $\\beta(t)$ is the temperature schedule at time $t$, including a term $\\Theta$ which enforces complete randomness before a minimum time. \n", "\n", "$$ \\beta(t)=\\log(c_{1}+c_{2}t) \\frac{c_{3}}{C(B)} \\Theta(t-t_{min}) $$\n", "\n", "In `ferrmion`, the setup is slightly different, but the logic of applying simulated annealing to update an encoded hamiltonian is the same. See the `core` docs for details." ] }, { "cell_type": "code", "execution_count": 16, "id": "8021f23b", "metadata": {}, "outputs": [], "source": [ "import ferrmion as fr\n", "import numpy as np\n", "from nbutils import get_naive_result,get_permuation_results, get_water_data, get_topphatt_result, pauli_weights\n", "import matplotlib.pyplot as plt\n", "import matplotlib.lines as mlines\n", "\n", "def get_clifford_heuristic_result(tree,fham,coef_weight, temperature=1, n_seeds=10, clifford_subset=None):\n", " print(f\"Getting Clifford Heuristic results ({n_seeds} seeds, coef_weight={coef_weight})...\")\n", " sdmeans = {\"unscaled\": [], \"scaled\": [], \"length\": []}\n", " for seed in range(n_seeds):\n", " # To avoid re-annealing between weighted and unweighted (and across seeds)\n", " qham: fr.QubitHamiltonian = tree.encode(fham)\n", " qham = qham.clifford_heuristic(coefficient_weighted=coef_weight, seed=seed * np.random.randint(1,101), temperature=temperature, clifford_subset=clifford_subset)\n", " result = pauli_weights(qham)\n", " sdmeans[\"unscaled\"].append(result[0])\n", " sdmeans[\"scaled\"].append(result[1])\n", " sdmeans[\"length\"].append(result[2])\n", " return sdmeans" ] }, { "cell_type": "code", "execution_count": 17, "id": "551f842d", "metadata": {}, "outputs": [], "source": [ "def get_ch_results(\n", " tree: fr.TernaryTree, fham:fr.FermionHamiltonian, limit=1000, with_topphatt=False, clifford_subset=\"C\", temperature=1\n", "):\n", " if with_topphatt:\n", " tree.encode_topphatt(fham)\n", " \n", " sdmeans_naive = get_naive_result(tree, fham)\n", " sdmeans = get_permuation_results(tree, fham, limit)\n", "\n", " sdmeans_clifford_pw = get_clifford_heuristic_result(tree, fham, False, clifford_subset=clifford_subset, temperature=temperature)\n", " sdmeans_clifford_cpw = get_clifford_heuristic_result(tree, fham, True, clifford_subset=clifford_subset, temperature=temperature)\n", "\n", " fig, ax = plt.subplots(layout=\"constrained\")\n", "\n", " ax.scatter(\n", " sdmeans[\"unscaled\"],\n", " sdmeans[\"scaled\"],\n", " label=f\"{limit} Random Permutations\",\n", " marker=\".\",\n", " color=\"tab:grey\",\n", " alpha=0.7,\n", " )\n", " ax.plot(\n", " sdmeans_naive[\"unscaled\"],\n", " sdmeans_naive[\"scaled\"],\n", " marker=\"D\",\n", " color=\"tab:red\",\n", " mec=\"k\",\n", " markersize=8,\n", " )\n", " ax.plot(sdmeans_clifford_pw[\"unscaled\"], sdmeans_clifford_pw[\"scaled\"], marker=\"P\", linestyle=\"\", color=\"tab:orange\", markersize=6)\n", " ax.plot(sdmeans_clifford_cpw[\"unscaled\"], sdmeans_clifford_cpw[\"scaled\"], marker=\"X\", linestyle=\"\", color=\"tab:orange\", markersize=6)\n", "\n", " # where some data has already been plotted to ax\n", " handles, labels = plt.gca().get_legend_handles_labels()\n", " # manually define a new patch\n", " naive_legend = mlines.Line2D(\n", " [],\n", " [],\n", " label=\"Naive Enumeration\",\n", " marker=\"D\",\n", " linestyle=\"\",\n", " color=\"tab:red\",\n", " mec=\"k\",\n", " markersize=8,\n", " )\n", " annealed_pw_legend = mlines.Line2D(\n", " [],\n", " [],\n", " label=\"$W_{P}$ Annealed (10 seeds)\",\n", " marker=\"P\",\n", " linestyle=\"\",\n", " color=\"tab:orange\",\n", " markersize=6,\n", " )\n", " annealed_cpw_legend = mlines.Line2D(\n", " [],\n", " [],\n", " label=\"$W_{CP}$ Annealed (10 seeds)\",\n", " marker=\"X\",\n", " linestyle=\"\",\n", " color=\"tab:orange\",\n", " markersize=6,\n", " )\n", " topphatt_legend = mlines.Line2D(\n", " [],\n", " [],\n", " label=\"TOPP-HATT\",\n", " marker=\"D\",\n", " linestyle=\"\",\n", " color=\"tab:red\",\n", " mec=\"k\",\n", " markersize=8,\n", " )\n", "\n", " data = {\n", " \"random\": sdmeans,\n", " \"naive\": sdmeans_naive,\n", " \"annealed_pw\":sdmeans_clifford_pw,\n", " \"annealed_cpw\":sdmeans_clifford_cpw,\n", " }\n", "\n", " # handles is a list, so append manual patch\n", " if with_topphatt:\n", " handles.extend([topphatt_legend])\n", " else:\n", " handles.extend([naive_legend])\n", "\n", " handles.extend(\n", " [\n", " annealed_pw_legend,\n", " annealed_cpw_legend,\n", " ]\n", " )\n", "\n", "\n", " ax.set_xlabel(\"unscaled pauli-weight\")\n", " ax.set_ylabel(\"coefficient scaled pauli-weight\")\n", " ax.set_title(f\"Jordan-Wigner Encodings of $H_2 O$:$6-31G$\")\n", " fig.legend(handles=handles, loc=\"outside lower center\", ncols=len(handles) // 2)\n", " fig.show()" ] }, { "cell_type": "markdown", "id": "af33a21e", "metadata": {}, "source": [ "# Example\n", "\n", "Let's start with the Jordan-Wigner encoded hamiltonian of the water molecule in $6-31G$ basis.\n", "\n", "We'll show a distribution of random enumerations of JW, the naive encoding and results of Clifford annealing which begins at the Naive enumeration." ] }, { "cell_type": "code", "execution_count": 3, "id": "0c2284fb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Getting Naive result...\n", "Naive result: (285512, 2342.116727060445, 23328)\n", "Getting 1000 random results...\n", "Permutation Results\n", "Getting Clifford Heuristic results (10 seeds, coef_weight=False)...\n", "Getting Clifford Heuristic results (10 seeds, coef_weight=True)...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/b6/r25qxhld1ls1sll052q1dw5h0000gn/T/ipykernel_69398/2931100677.py:101: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " fig.show()\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ones, twos, enuc = get_water_data()\n", "fham = fr.molecular_hamiltonian(ones, twos, enuc)\n", "tree = fr.JordanWigner(fham.n_modes)\n", "get_ch_results(tree, fham)" ] }, { "cell_type": "markdown", "id": "71ce2468", "metadata": {}, "source": [ "## Pairing with TOPP-HATT\n", "\n", "Since the method takes any input Pauli Hamiltonian, we can start with one that has been optimised by another method.\n", "\n", "Generally the results for the Jordan Wigner encoding are significantly improved by using TOPP-HATT first.\n", "\n", "As a nice bonus, simulated annealing converges more quickly, meaning TOPP-HATT *reduces the run time*." ] }, { "cell_type": "code", "execution_count": 4, "id": "59d6315f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Getting Naive result...\n", "Naive result: (214156, 1480.8662101680088, 23328)\n", "Getting 1000 random results...\n", "Permutation Results\n", "Getting Clifford Heuristic results (10 seeds, coef_weight=False)...\n", "Getting Clifford Heuristic results (10 seeds, coef_weight=True)...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/b6/r25qxhld1ls1sll052q1dw5h0000gn/T/ipykernel_69398/2931100677.py:101: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " fig.show()\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tree = fr.JordanWigner(fham.n_modes)\n", "get_ch_results(tree, fham, with_topphatt=True)" ] }, { "cell_type": "markdown", "id": "e71e7ee7", "metadata": {}, "source": [ "# Randomised Subsystem Descent\n", "\n", "The downside of the clifford heuristic method is that the computation time increases rapidly with the system size.\n", "\n", "One option for improving on this is RSD, which iteratively applies the clifford method on subsets of qubits.\n", "This means you to get clever with how you choose those subsystems.\n", "\n", "The available samplers are:\n", "- \"full_system\" - Use the full system (equivalent to running the normal Clifford Heuristic method).\n", "- \"uniform\" - Uniform sampling across all qubits\n", "- \"hamming\" - Sample according to total Hamming weight of each qubit.\n", "\n", "Within the rust `core`, you can also pass your own function to perform sampling.\n", "\n", "Let's see how this work by overwriting the helper function we wrote above." ] }, { "cell_type": "code", "execution_count": 5, "id": "d6cb6c87", "metadata": {}, "outputs": [], "source": [ "def get_clifford_heuristic_result(tree,fham,coef_weight,clifford_subset, temperature=1, n_seeds=10):\n", " print(f\"Getting Clifford Heuristic results ({n_seeds} seeds, coef_weight={coef_weight})...\")\n", " sdmeans = {\"unscaled\": [], \"scaled\": [], \"length\": []}\n", " for seed in range(n_seeds):\n", " # To avoid re-annealing between weighted and unweighted (and across seeds)\n", " qham: fr.QubitHamiltonian = tree.encode(fham)\n", " qham = qham.randomised_subsystem_descent(iterations=100, subsystem_dimension=qham.n_qubits//2, coefficient_weighted=coef_weight, seed=seed * np.random.randint(1,101), temperature=temperature, sampler=\"hamming\", clifford_subset=clifford_subset)\n", " result = pauli_weights(qham)\n", " sdmeans[\"unscaled\"].append(result[0])\n", " sdmeans[\"scaled\"].append(result[1])\n", " sdmeans[\"length\"].append(result[2])\n", " return sdmeans" ] }, { "cell_type": "code", "execution_count": 22, "id": "423583c6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Getting Naive result...\n", "Naive result: (285512, 2342.116727060445, 23328)\n", "Getting 1000 random results...\n", "Permutation Results\n", "Getting Clifford Heuristic results (10 seeds, coef_weight=False)...\n", "Getting Clifford Heuristic results (10 seeds, coef_weight=True)...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/b6/r25qxhld1ls1sll052q1dw5h0000gn/T/ipykernel_69398/768601403.py:101: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " fig.show()\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tree = fr.JordanWigner(fham.n_modes)\n", "get_ch_results(tree, fham)" ] }, { "cell_type": "code", "execution_count": 23, "id": "1ca21978", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Getting Naive result...\n", "Naive result: (214156, 1480.8662101680088, 23328)\n", "Getting 1000 random results...\n", "Permutation Results\n", "Getting Clifford Heuristic results (10 seeds, coef_weight=False)...\n", "Getting Clifford Heuristic results (10 seeds, coef_weight=True)...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/b6/r25qxhld1ls1sll052q1dw5h0000gn/T/ipykernel_69398/768601403.py:101: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " fig.show()\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tree = fr.JordanWigner(fham.n_modes)\n", "get_ch_results(tree, fham, with_topphatt=True)" ] }, { "cell_type": "markdown", "id": "556b4780", "metadata": {}, "source": [ "# Clifford Operator Subsets\n", "\n", "You can also choose which Clifford operators to sample from during optimisation. The options are:\n", "- \"C\" - $\\{CNOT_{i,j}\\}$\n", "- \"CH\" - $\\{CNOT_{i,j}H_{i}\\}$\n", "- \"CS\" - $\\{CNOT_{i,j}S_{i}\\}$\n", "- \"CHS\" - $\\{CNOT_{i,j}H_{i}, CNOT_{i,j}S_{i}\\}$\n", "- \"all\" - $\\{H_{i}, S_{i}, CNOT_{i,j}\\}$\n", "\n", "Note that only the CNOT gate will change the Pauli-weight of the Hamiltonian." ] }, { "cell_type": "code", "execution_count": 21, "id": "df696560", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Getting Naive result...\n", "Naive result: (214156, 1480.8662101680088, 23328)\n", "Getting 1000 random results...\n", "Permutation Results\n", "Getting Clifford Heuristic results (10 seeds, coef_weight=False)...\n", "Getting Clifford Heuristic results (10 seeds, coef_weight=True)...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/b6/r25qxhld1ls1sll052q1dw5h0000gn/T/ipykernel_69398/768601403.py:101: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " fig.show()\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tree = fr.JordanWigner(fham.n_modes)\n", "get_ch_results(tree, fham, with_topphatt=True, clifford_subset=\"C\")" ] } ], "metadata": { "kernelspec": { "display_name": "ferrmion (3.13.1)", "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": "3.13.1" } }, "nbformat": 4, "nbformat_minor": 5 }