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{
"cells": [
{
"cell_type": "markdown",
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"metadata": {},
"source": [
"# Optimization Solver: A Qiskit Function by Q-CTRL Fire Opal\n",
"\n",
"<Admonition type=\"note\">\n",
"Qiskit Functions are an experimental feature available only to IBM Quantum&trade; Premium Plan users. They are in preview release status and subject to change.\n",
"</Admonition>\n",
"\n",
"## Overview\n",
"\n",
"With the Fire Opal Optimization Solver, you can solve utility-scale optimization problems on quantum hardware without requiring quantum expertise. Simply input the high-level problem definition, and the Solver takes care of the rest. The entire workflow is noise-aware and leverages [Fire Opal's Performance Management](/guides/q-ctrl-performance-management) under the hood. The Solver consistently delivers accurate solutions to classically challenging problems, even at full-device scale on the largest IBM&reg; QPUs.\n",
"\n",
"The Solver is flexible and can be used to solve combinatorial optimization problems defined as objective functions or arbitrary graphs. Problems do not have to be mapped to device topology. Both unconstrained and constrained problems are solvable, given that constraints can be formulated as penalty terms. The examples included in this guide demonstrate how to solve an unconstrained and a constrained utility-scale optimization problem using different Solver input types. The first example involves a Max-Cut problem defined on a 156-node, 3-Regular graph, while the second example tackles a 50-node Minimum Vertex Cover problem defined by a cost function.\n",
"\n",
"To get access to the Optimization Solver, [contact Q-CTRL](https://form.typeform.com/to/uOAVDnGg?typeform-source=q-ctrl.com)."
]
},
{
"cell_type": "markdown",
"id": "5f761442",
"metadata": {},
"source": [
"## Function description\n",
"\n",
"The Solver fully optimizes and automates the entire algorithm, from error suppression at the hardware level to efficient problem mapping and closed-loop classical optimization. Behind the scenes, the Solver's pipeline reduces errors at every stage, enabling the enhanced performance required to meaningfully scale. The underlying workflow is inspired by the Quantum Approximate Optimization Algorithm (QAOA), which is a hybrid quantum-classical algorithm. For a detailed summary of the full Optimization Solver workflow, refer to [the published manuscript](https://arxiv.org/abs/2406.01743).\n",
"\n",
"\n",
"![Visualization of the Optimization Solver workflow](/images/guides/qctrl-optimization/solver_workflow.svg)\n",
"\n",
"To solve a generic problem with the Optimization Solver:\n",
"1. Define your problem as an objective function or a graph.\n",
"2. Connect to the function through the Qiskit Functions Catalog.\n",
"3. Run the problem with the Solver and retrieve results."
]
},
{
"cell_type": "markdown",
"id": "d20af236",
"metadata": {},
"source": [
"## Inputs and outputs\n",
"### Inputs\n",
"| Name | Type | Description | Required | Default | Example |\n",
"| --------- | ---------------- | -------------------------- | -------- | ---------- | ---------- |\n",
"| problem | `str` | One of the representations listed under \"Accepted problem formats\" | Yes | N/A |`Poly(2.0*n[0]*n[1] + 2.0*n[0]*n[2] - 3.13520241298341*n[0] + 2.0*n[1]*n[2] - 3.14469748506794*n[1] - 3.18897660121566*n[2] + 6.0, n[0], n[1], n[2], domain='RR')` |\n",
"| problem_type | `str` | Name of the problem class; only used for graph problem definitions, which are limited to \"maxcut\"; not required for arbitrary objective function problem definitions | No | `None`| `\"maxcut\"` |\n",
"| backend_name | `str` | Name of the backend to use | No | Least busy backend that your instance has access to | `\"hub1/group1/project1\"` |\n",
"| instance | `str` | The hub/group/project to use | No | A Premium access instance is randomly chosen if your account has access to multiple instances | `\"hub1/group1/project1\"` |\n",
"| options | `dict` | Input options, including the following: (Optional) `session_id`: `str`; default behavior creates a new Session | No | `None` | `{\"session_id\": \"cw2q70c79ws0008z6g4g\"}` |\n",
"\n",
"**Accepted problem formats:**\n",
"- Polynomial expression representation of an objective function. Ideally created in Python with an existing SymPy Poly object and formatted into a string using [sympy.srepr](https://docs.sympy.org/latest/tutorials/intro-tutorial/printing.html#srepr).\n",
"- Graph representation of a specific problem type. The graph should be created using the networkx library in Python. It should then converted to a string by using the networkx function `[nx.readwrite.json_graph.adjacency_data](http://nx.readwrite.json_graph.adjacency_data.)`.\n",
"\n",
"**Supported backends:**\n",
"The following list of backends are currently supported. If your device is not listed, [reach out to Q-CTRL](https://form.typeform.com/to/iuujEAEI?typeform-source=q-ctrl.com) to add support.\n",
"- ibm_brisbane\n",
"- ibm_brussels\n",
"- ibm_cleveland\n",
"- ibm_fez\n",
"- ibm_kawasaki\n",
"- ibm_kyiv\n",
"- ibm_nazca\n",
"- ibm_quebec\n",
"- ibm_rensselaer\n",
"- ibm_sherbrooke\n",
"- ibm_strasbourg\n",
"- ibm_torino\n",
"\n",
"### Outputs\n",
"| Name | Type | Description | Example |\n",
"| --------- | ---------------- | -------------------------- | -------- |\n",
"| result | `dict[str, Any]` | Solution and metadata listed under \"Result dictionary contents\" | `{'solution_bitstring_cost': 3.0, final_bitstring_distribution: {000001: 100, 000011: 2}, iteration_count: 3, 'solution_bitstring': 000001, 'variables_to_bitstring_index_map': {n[1]': 5, 'n[2]': 4, 'n[3]': 3, 'n[4]': 2, 'n[5]': 1}, 'best_parameters': [0.19628831763697097, -1.047052334523102], 'warnings': []}` |\n",
"\n",
"\n",
"**Result dictionary contents:**\n",
"| Name | Type | Description |\n",
"| --------- | ---------------- | -------------------------- |\n",
"| solution_bitstring_cost | `float` | The best minimum cost across all iterations |\n",
"| final_bitstring_distribution | `CountsDict` | The bitstring counts dictionary associated with the minimum cost |\n",
"| solution_bitstring | `str` | Bitstring with the best cost in the final distribution |\n",
"| iteration_count | `int` | The total number of QAOA iterations performed by the Solver |\n",
"| variables_to_bitstring_index_map | `float` | The mapping from the variables to the equivalent bit in the bitstring |\n",
"| best_parameters | `list[float]` | The optimized beta and gamma parameters across all iterations |\n",
"| warnings |`list[str]` | The warnings produced while compiling or running QAOA (defaults to None) |"
]
},
{
"cell_type": "markdown",
"id": "1165f4f0",
"metadata": {},
"source": [
"## Benchmarks\n",
"\n",
"[Published benchmarking results](https://arxiv.org/abs/2406.01743) show that the Solver successfully solves problems with over 120 qubits, even outperforming previously published results on quantum annealing and trapped-ion devices. The following benchmark metrics provide a rough indication of the accuracy and scaling of problem types based on a few examples. Actual metrics may differ based on various problem features, such as the number of terms in the objective function (density) and their locality, number of variables, and polynomial order.\n",
"\n",
"The \"Number of qubits\" indicated is not a hard limitation but represents rough thresholds where you can expect extremely consistent solution accuracy. Larger problem sizes have been successfully solved, and testing beyond these limits is encouraged.\n",
"\n",
"Arbitrary qubit connectivity is supported across all problem types.\n",
"\n",
"| Problem type | Number of qubits | Example | Accuracy | Total time (s) | Runtime usage (s) | Number of iterations\n",
"| --------- | ---------------- | -------------------------- | -------- | ---------- | ------------- |---- |\n",
"| Sparsely-connected quadratic problems | 156 | 3-regular Max-Cut| 100% | 1764 | 293 | 16 |\n",
"| Higher-order binary optimization | 156 | Ising spin-glass model | 100% | 1461 | 272 | 16 |\n",
"| Densely-connected quadratic problems | 50 | Fully-connected Max-Cut| 100% | 1758 | 268 | 12 |\n",
"| Constrained problem with penalty terms | 50 | Weighted Minimum Vertex Cover with 8% edge density | 100% | 1074 | 215 | 10 |"
]
},
{
"cell_type": "markdown",
"id": "73390a19",
"metadata": {},
"source": [
"## Get started\n",
"\n",
"Authenticate using your [IBM Quantum API token](http://quantum.ibm.com/), and select the Qiskit Function as follows:"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "95a715d2",
"metadata": {},
"outputs": [],
"source": [
"from qiskit_ibm_catalog import QiskitFunctionsCatalog\n",
"\n",
"# Credentials\n",
"token = \"<YOUR_IQP_API_TOKEN>\"\n",
"hub = \"<YOUR_IQP_HUB>\"\n",
"group = \"<YOUR_IQP_GROUP>\"\n",
"project = \"<YOUR_IQP_PROJECT>\"\n",
"\n",
"# Authentication\n",
"catalog = QiskitFunctionsCatalog(token=token)\n",
"\n",
"# Access Function\n",
"solver = catalog.load(\"q-ctrl/optimization-solver\")"
]
},
{
"cell_type": "markdown",
"id": "e8837f5f",
"metadata": {},
"source": [
"## Example: Unconstrained optimization\n",
"Run the [maximum cut](https://en.wikipedia.org/wiki/Maximum_cut) (Max-Cut) problem. The following example demonstrates the Solver's capabilities on a 156-node, 3-regular unweighted graph Max-Cut problem, but you can also solve weighted graph problems."
]
},
{
"cell_type": "markdown",
"id": "a699235b",
"metadata": {},
"source": [
"In addition to `qiskit-ibm-catalog`, you will also use the following packages to run this example: `networkx` and `numpy`. You can install these packages by uncommenting the following cell if you are running this example in a notebook using the IPython kernel."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a74fe6a9",
"metadata": {},
"outputs": [],
"source": [
"# %pip install networkx numpy"
]
},
{
"cell_type": "markdown",
"id": "a41c4a0d",
"metadata": {},
"source": [
"### 1. Define the problem\n",
"You can run a Max-Cut problem by defining a graph problem and specifying `problem_type='maxcut'`."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "d56e1440",
"metadata": {},
"outputs": [],
"source": [
"import networkx as nx\n",
"import numpy as np\n",
"\n",
"# Generate a random graph with 156 nodes\n",
"maxcut_graph = nx.random_regular_graph(d=3, n=156, seed=8)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "0a7255e1",
"metadata": {},
"outputs": [
{
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Optionally, visualize the graph\n",
"nx.draw(maxcut_graph, nx.kamada_kawai_layout(maxcut_graph), node_size=100)"
]
},
{
"cell_type": "markdown",
"id": "e42a8d55",
"metadata": {},
"source": [
"The Solver accepts a string as the problem definition input."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "2546e3e5",
"metadata": {},
"outputs": [],
"source": [
"# Convert graph to string\n",
"problem_as_str = nx.readwrite.json_graph.adjacency_data(maxcut_graph)"
]
},
{
"cell_type": "markdown",
"id": "0ab6f24f",
"metadata": {},
"source": [
"### 2. Run the problem\n",
"When using the graph-based input method, specify the problem type."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "16c66d64",
"metadata": {},
"outputs": [],
"source": [
"# Solve the problem\n",
"maxcut_job = solver.run(\n",
" problem=problem_as_str,\n",
" problem_type=\"maxcut\",\n",
" instance=hub + \"/\" + group + \"/\" + project,\n",
")"
]
},
{
"cell_type": "markdown",
"id": "48069093",
"metadata": {},
"source": [
"Check your Qiskit Function workload's [status](/guides/functions#check-job-status) or return [results](/guides/functions#retrieve-results) as follows:"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "856fe992",
"metadata": {},
"outputs": [],
"source": [
"# Get job status\n",
"print(maxcut_job.status())"
]
},
{
"cell_type": "markdown",
"id": "74f48eab",
"metadata": {},
"source": [
"### 3. Retrieve the result\n",
"Retrieve the optimal cut value from the results dictionary.\n",
"\n",
"<Admonition type=\"note\">The mapping of the variables to the bitstring may have changed. The output dictionary contains a `variables_to_bitstring_index_map` sub-dictionary, which helps to verify the ordering.</Admonition>"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "6b571411",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimal cut value: 210.0\n"
]
}
],
"source": [
"# Poll for results\n",
"maxcut_result = maxcut_job.result()\n",
"\n",
"# Take the absolute value of the solution since the cost function is minimized\n",
"qctrl_maxcut = abs(maxcut_result[\"solution_bitstring_cost\"])\n",
"\n",
"# Print the optimal cut value found by the Optimization Solver\n",
"print(f\"Optimal cut value: {qctrl_maxcut}\")"
]
},
{
"cell_type": "markdown",
"id": "508e29b0",
"metadata": {},
"source": [
"You can verify the accuracy of the result by solving the problem classically with open-source solvers like [PuLP](https://coin-or.github.io/pulp/) if the graph is not densely connected. High density problems may require advanced classical solvers to validate the solution."
]
},
{
"cell_type": "markdown",
"id": "e2817b13",
"metadata": {},
"source": [
"## Example: Constrained optimization\n",
"The prior Max-Cut example is a common quadratic unconstrained binary optimization problem. Q-CTRL's Optimization Solver can be used for various problem types, including constrained optimization. You can solve arbitrary problem types by inputting the problem definition represented as a polynomial where constraints are modeled as penalty terms.\n",
"\n",
"The following example demonstrates how to construct a cost function for a constrained optimization problem, [minimum vertex cover](https://en.wikipedia.org/wiki/Vertex_cover) (MVC)."
]
},
{
"cell_type": "markdown",
"id": "a9fbc0e9",
"metadata": {},
"source": [
"In addition to the `qiskit-ibm-catalog` and `qiskit` packages, you will also use the following packages to run this example: `numpy`, `networkx`, and `sympy`. You can install these packages by uncommenting the following cell if you are running this example in a notebook using the IPython kernel."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c6428fd0",
"metadata": {},
"outputs": [],
"source": [
"# %pip install numpy networkx sympy"
]
},
{
"cell_type": "markdown",
"id": "98d3bfd3",
"metadata": {},
"source": [
"### 1. Define the problem\n",
"Define a random MVC problem by generating a graph with randomly weighted nodes."
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "c2ce65e3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import networkx as nx\n",
"from sympy import symbols, Poly, srepr\n",
"\n",
"# To change the weights, change the seed to any integer.\n",
"rng_seed = 18\n",
"_rng = np.random.default_rng(rng_seed)\n",
"node_count = 50\n",
"edge_probability = 0.08\n",
"mvc_graph = nx.erdos_renyi_graph(\n",
" node_count, edge_probability, seed=rng_seed, directed=False\n",
")\n",
"\n",
"# add node weights\n",
"for i in mvc_graph.nodes:\n",
" mvc_graph.add_node(i, weight=_rng.random())\n",
"\n",
"# Optionally, visualize the graph\n",
"nx.draw(mvc_graph, nx.kamada_kawai_layout(mvc_graph), node_size=200)"
]
},
{
"cell_type": "markdown",
"id": "89c91472",
"metadata": {},
"source": [
"A standard optimization model for weighted MVC can be formulated as follows. First, a penalty must be added for any case where an edge is not connected to a vertex in the subset. Therefore, let $n_i = 1$ if vertex $i$ is in the cover (i.e., in the subset) and $n_i = 0$ otherwise. Second, the goal is to minimize the total number of vertices in the subset, which can be represented by the following function:\n",
"\n",
"$$\\textbf{Minimize}\\qquad y = \\sum_{i\\in V} \\omega_i n_i$$"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "91586ee9",
"metadata": {},
"outputs": [],
"source": [
"# Construct the cost function.\n",
"variables = symbols([f\"n[{i}]\" for i in range(node_count)])\n",
"cost_function = Poly(0, variables)\n",
"\n",
"for i in mvc_graph.nodes():\n",
" weight = mvc_graph.nodes[i].get(\"weight\", 0)\n",
" cost_function += variables[i] * weight"
]
},
{
"cell_type": "markdown",
"id": "9d01684b",
"metadata": {},
"source": [
"Now every edge in the graph should include at least one end point from the cover, which can be expressed as the inequality:\n",
"\n",
"$$n_i + n_j \\ge 1 \\texttt{ for all } (i,j)\\in E$$\n",
"\n",
"Any case where an edge is not connected to the vertex of cover must be penalized. This can be represented in the cost function by adding a penalty of the form $P(1-n_i-n_j+n_i n_j)$ where $P$ is a positive penalty constant. Thus, an unconstrained alternative to the constrained inequality for weighted MVC is:\n",
"\n",
"$$\\textbf{Minimize}\\qquad y = \\sum_{i\\in V}\\omega_i n_i + P(\\sum_{(i,j)\\in E}(1 - n_i - n_j + n_i n_j))$$"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "1ff1ffcc",
"metadata": {},
"outputs": [],
"source": [
"# Add penalty term.\n",
"penalty_constant = 2\n",
"for i, j in mvc_graph.edges():\n",
" cost_function += penalty_constant * (\n",
" 1 - variables[i] - variables[j] + variables[i] * variables[j]\n",
" )"
]
},
{
"cell_type": "markdown",
"id": "9fd0ba9e",
"metadata": {},
"source": [
"### 2. Run the problem"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f380b56d",
"metadata": {},
"outputs": [],
"source": [
"# Solve the problem\n",
"mvc_job = solver.run(\n",
" problem=srepr(cost_function), instance=hub + \"/\" + group + \"/\" + project\n",
")"
]
},
{
"cell_type": "markdown",
"id": "d154c226",
"metadata": {},
"source": [
"Check your Qiskit Function workload's [status](/guides/functions#check-job-status) or return [results](/guides/functions#retrieve-results) as follows:"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6de77b14",
"metadata": {},
"outputs": [],
"source": [
"print(mvc_job.status())"
]
},
{
"cell_type": "markdown",
"id": "8a95618e",
"metadata": {},
"source": [
"### 3. Get the result\n",
"Retrieve the solution and analyze the results. Because this problem has weighted nodes, the solution is not simply the minimum number of nodes covered. Instead, the solution cost represents the sum of the weights of the vertices that are included in the vertex cover. It represents the total \"cost\" or \"weight\" of covering all the edges in the graph using the selected vertices."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a924bf93",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solution cost: 10.248198273708624\n"
]
}
],
"source": [
"mvc_result = mvc_job.result()\n",
"qctrl_cost = mvc_result[\"solution_bitstring_cost\"]\n",
"\n",
"# Print results\n",
"print(f\"Solution cost: {qctrl_cost}\")"
]
},
{
"cell_type": "markdown",
"id": "e9ec2e67",
"metadata": {},
"source": [
"## Get support\n",
"\n",
"For any questions or issues, [reach out to Q-CTRL](https://form.typeform.com/to/iuujEAEI?typeform-source=q-ctrl.com)."
]
},
{
"cell_type": "markdown",
"id": "5a6a25c8",
"metadata": {},
"source": [
"## Next steps\n",
"\n",
"<Admonition type=\"tip\" title=\"Recommendations\">\n",
"\n",
"- Request access to [Q-CTRL Optimization Solver](https://quantum.ibm.com/functions?id=a8a2b0b6-486a-41b5-8ea4-ada3b108d6b6)\n",
"- Try the [Solve higher-order binary optimization problems with Q-CTRL's Optimization Solver](https://learning.quantum.ibm.com/tutorial/solve-higher-order-binary-optimization-problems-with-q-ctrls-optimization-solver) tutorial.\n",
"\n",
"</Admonition>"
]
}
],
"metadata": {
"description": "Start solving utility-scale optimization problems with the Fire Opal Optimization Solver by Q-CTRL",
"kernelspec": {
"display_name": "Python 3",
"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"
},
"title": "Optimization Solver - A Qiskit Function by Q-CTRL Fire Opal"
},
"nbformat": 4,
"nbformat_minor": 5
}