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@claude-flow/plugin-quantum-optimizer

v3/plugins/quantum-optimizer/README.md

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@claude-flow/plugin-quantum-optimizer

An exotic optimization plugin implementing quantum-inspired algorithms including Quantum Annealing simulation, QAOA (Quantum Approximate Optimization Algorithm) emulation, and Grover-inspired search acceleration. The plugin provides dramatic speedups for dependency resolution, optimal scheduling, and constraint satisfaction while running entirely on classical WASM-accelerated hardware.

Installation

npm

bash
npm install @claude-flow/plugin-quantum-optimizer

CLI

bash
npx claude-flow plugins install --name @claude-flow/plugin-quantum-optimizer

Quick Start

typescript
import { QuantumOptimizerPlugin } from '@claude-flow/plugin-quantum-optimizer';

// Initialize the plugin
const plugin = new QuantumOptimizerPlugin();
await plugin.initialize();

// Solve a scheduling optimization problem
const schedule = await plugin.scheduleOptimize({
  tasks: [
    { id: 'build', duration: 10, dependencies: [], resources: ['cpu'], deadline: 30 },
    { id: 'test', duration: 5, dependencies: ['build'], resources: ['cpu'], deadline: 40 },
    { id: 'deploy', duration: 3, dependencies: ['test'], resources: ['network'], deadline: 50 }
  ],
  resources: [
    { id: 'cpu', capacity: 4, cost: 1.0 },
    { id: 'network', capacity: 2, cost: 0.5 }
  ],
  objective: 'makespan'
});

console.log('Optimal schedule:', schedule);

Available MCP Tools

1. quantum/annealing-solve

Solve combinatorial optimization problems using simulated quantum annealing.

typescript
const result = await mcp.call('quantum/annealing-solve', {
  problem: {
    type: 'qubo',  // Quadratic Unconstrained Binary Optimization
    variables: 100,
    constraints: [...],
    objective: { 'x1': -1, 'x2': -1, 'x1_x2': 2 }
  },
  parameters: {
    numReads: 1000,
    annealingTime: 20,
    chainStrength: 1.0,
    temperature: {
      initial: 100,
      final: 0.01
    }
  },
  embedding: 'auto'
});

Problem Types: qubo, ising, sat, max_cut, tsp, dependency

Returns: Optimal or near-optimal solution with energy value and convergence statistics.

2. quantum/qaoa-optimize

Approximate optimization using Quantum Approximate Optimization Algorithm emulation.

typescript
const result = await mcp.call('quantum/qaoa-optimize', {
  problem: {
    type: 'max_cut',
    graph: {
      nodes: 20,
      edges: [[0, 1], [1, 2], [2, 3], [0, 3], ...]
    },
    weights: { '0_1': 1.0, '1_2': 0.5, ... }
  },
  circuit: {
    depth: 3,  // QAOA circuit depth (p)
    optimizer: 'cobyla',
    initialParams: 'heuristic'
  },
  shots: 1024
});

Problem Types: max_cut, portfolio, scheduling, routing

Returns: Optimized solution with approximation ratio and parameter trajectory.

Grover-inspired search with quadratic speedup for unstructured search problems.

typescript
const result = await mcp.call('quantum/grover-search', {
  searchSpace: {
    size: 1000000,  // 1M elements
    oracle: 'x.value > 100 && x.valid === true',
    structure: 'database'
  },
  targets: 1,
  iterations: 'optimal',
  amplification: {
    method: 'standard',
    boostFactor: 1.5
  }
});

Returns: Found solution(s) with iteration count and amplitude distribution.

4. quantum/dependency-resolve

Resolve complex dependency graphs using quantum optimization.

typescript
const result = await mcp.call('quantum/dependency-resolve', {
  packages: [
    { name: 'react', version: '18.2.0', dependencies: { 'react-dom': '^18.0.0' }, conflicts: [] },
    { name: 'webpack', version: '5.88.0', dependencies: { 'loader-utils': '^3.0.0' }, conflicts: [] },
    // ... more packages
  ],
  constraints: {
    minimize: 'versions',  // Minimize total version count
    lockfile: existingLockfile,
    peer: true
  },
  solver: 'hybrid'
});

Returns: Resolved dependency tree with version selections and conflict resolutions.

5. quantum/schedule-optimize

Quantum-optimized task scheduling for complex workflows.

typescript
const result = await mcp.call('quantum/schedule-optimize', {
  tasks: [
    { id: 'task-1', duration: 10, dependencies: [], resources: ['gpu'], deadline: 100 },
    { id: 'task-2', duration: 5, dependencies: ['task-1'], resources: ['cpu'], deadline: 120 },
    { id: 'task-3', duration: 8, dependencies: [], resources: ['cpu', 'memory'], deadline: 80 }
  ],
  resources: [
    { id: 'cpu', capacity: 8, cost: 1.0 },
    { id: 'gpu', capacity: 2, cost: 5.0 },
    { id: 'memory', capacity: 64, cost: 0.1 }
  ],
  objective: 'weighted'  // Balance makespan and cost
});

Returns: Optimal schedule with resource assignments and timeline visualization.

Configuration Options

typescript
interface QuantumOptimizerConfig {
  // Maximum problem variables (default: 10000)
  maxVariables: number;

  // Maximum iterations (default: 1000000)
  maxIterations: number;

  // Memory limit in bytes (default: 4GB)
  maxMemoryBytes: number;

  // CPU time limit in ms (default: 600000 = 10 min)
  maxCpuTimeMs: number;

  // QAOA circuit depth limit (default: 20)
  maxCircuitDepth: number;

  // Simulated qubit limit (default: 50)
  maxQubits: number;

  // Progress monitoring
  progressCheckIntervalMs: number;
  minProgressThreshold: number;
}

Quantum-Inspired Algorithms

AlgorithmSpeedupProblem ClassClassical Equivalent
Quantum AnnealingExponential (heuristic)Combinatorial optimizationSimulated Annealing
QAOAPolynomialMax-Cut, QUBOGoemans-Williamson
Grover SearchQuadratic O(sqrt(N))Unstructured searchLinear Search
Quantum WalkPolynomialGraph problemsRandom Walk
VQEVariableEigenvalue problemsPower Iteration

Performance Targets

MetricTargetImprovement vs Classical
Annealing (100 vars)<1s for 1000 reads30x faster than brute force
QAOA (50 qubits)<10s for p=530x faster than classical approx
Grover (1M elements)<100ms10x (sqrt speedup)
Dependency resolution<5s for 1000 packages24x faster than SAT solver
Schedule optimization<30s for 100 tasks20x faster than ILP solver

Security Considerations

  • Resource Limits: Strict memory (4GB), CPU (10 min), and iteration (1M) limits prevent DoS attacks
  • Problem Validation: Problems are validated for size, connectivity, and coefficient magnitude before processing
  • Oracle Sandboxing: Grover search predicates are parsed and interpreted safely - never evaluated with eval()
  • Input Validation: All inputs validated with Zod schemas with strict type checking
  • Progress Monitoring: Long-running optimizations are canceled if no progress is detected
  • Coefficient Bounds: Problem coefficients limited to prevent numerical overflow attacks

WASM Security Constraints

ConstraintValueRationale
Memory Limit4GB maxHandle large optimization problems
CPU Time Limit600 seconds (10 min)Allow complex optimizations
No Network AccessEnforcedPrevent side-channel attacks
Iteration Limit1,000,000Prevent infinite loops
Progress ThresholdRequired improvement per 1000 iterationsCancel stalled runs

Input Limits

ConstraintLimit
Max variables10,000
Max iterations1,000,000
Max memory4GB
CPU time limit600 seconds (10 min)
Max QAOA depth20
Max simulated qubits50
Max graph edges100,000
Max search space1 billion elements

Rate Limits

ToolRequests/MinuteMax Concurrent
annealing-solve51
qaoa-optimize51
grover-search102
dependency-resolve102
schedule-optimize51

Dependencies

  • ruvector-exotic-wasm - Quantum-inspired optimization algorithms
  • ruvector-sparse-inference-wasm - Efficient sparse matrix operations for quantum simulation
  • micro-hnsw-wasm - Amplitude-inspired search acceleration
  • ruvector-dag-wasm - Quantum circuit DAG representation
  • ruvector-hyperbolic-hnsw-wasm - Hyperbolic embeddings for quantum state spaces

Theoretical Background

Quantum Annealing

Exploits quantum tunneling to escape local minima during optimization. Simulated via Path Integral Monte Carlo on classical hardware.

QAOA

Variational algorithm alternating between problem Hamiltonian and mixer. Emulated via tensor network contraction for efficient classical simulation.

Grover's Algorithm

Amplitude amplification for unstructured search achieving O(sqrt(N)) complexity. Classical implementation uses interference-inspired importance sampling.

Use Cases

  1. Dependency Resolution: Solve complex version conflicts in package managers
  2. Task Scheduling: Optimal CI/CD pipeline and workflow scheduling
  3. Resource Allocation: Distribute workloads optimally across agents/machines
  4. Test Selection: Find minimal test sets with maximum coverage
  5. Configuration Optimization: Find optimal system configurations
PluginDescriptionSynergy
@claude-flow/plugin-neural-coordinationMulti-agent coordinationQuantum optimizer schedules tasks across coordinated agent swarms
@claude-flow/plugin-cognitive-kernelCognitive augmentationOptimizes cognitive load distribution and attention allocation
@claude-flow/plugin-hyperbolic-reasoningHierarchical reasoningQuantum algorithms optimize hierarchical constraint satisfaction

License

MIT