ADR-040: Quantum-Inspired Optimization Plugin

Status: Proposed Date: 2026-01-24 Category: Exotic SOTA Author: Plugin Architecture Team Version: 1.0.0 Deciders: Plugin Architecture Team, Quantum Computing Advisors Supersedes: None

Context

Combinatorial optimization problems are ubiquitous in software development: dependency resolution, task scheduling, resource allocation, and test selection. Classical algorithms often struggle with NP-hard problems at scale. Quantum-inspired algorithms, running on classical hardware, can provide significant speedups for specific problem classes by leveraging quantum mechanical concepts like superposition and interference.

Decision

Create a Quantum-Inspired Optimization Plugin that leverages RuVector's exotic WASM packages to provide quantum-inspired solvers for combinatorial optimization problems commonly encountered in software engineering.

Plugin Name

@claude-flow/plugin-quantum-optimizer

Description

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.

Key WASM Packages

Package	Purpose
`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

MCP Tools

1. `quantum/annealing-solve`

Solve optimization problems using simulated quantum annealing.

typescript

{
  name: 'quantum/annealing-solve',
  description: 'Solve combinatorial optimization using quantum annealing simulation',
  inputSchema: {
    type: 'object',
    properties: {
      problem: {
        type: 'object',
        properties: {
          type: {
            type: 'string',
            enum: ['qubo', 'ising', 'sat', 'max_cut', 'tsp', 'dependency']
          },
          variables: { type: 'number' },
          constraints: { type: 'array' },
          objective: { type: 'object' }
        }
      },
      parameters: {
        type: 'object',
        properties: {
          numReads: { type: 'number', default: 1000 },
          annealingTime: { type: 'number', default: 20 },
          chainStrength: { type: 'number', default: 1.0 },
          temperature: {
            type: 'object',
            properties: {
              initial: { type: 'number' },
              final: { type: 'number' }
            }
          }
        }
      },
      embedding: { type: 'string', enum: ['auto', 'minor', 'pegasus', 'chimera'] }
    },
    required: ['problem']
  }
}

2. `quantum/qaoa-optimize`

Approximate optimization using QAOA emulation.

typescript

{
  name: 'quantum/qaoa-optimize',
  description: 'Optimize using Quantum Approximate Optimization Algorithm',
  inputSchema: {
    type: 'object',
    properties: {
      problem: {
        type: 'object',
        properties: {
          type: { type: 'string', enum: ['max_cut', 'portfolio', 'scheduling', 'routing'] },
          graph: { type: 'object', description: 'Problem graph representation' },
          weights: { type: 'object' }
        }
      },
      circuit: {
        type: 'object',
        properties: {
          depth: { type: 'number', default: 3, description: 'QAOA circuit depth (p)' },
          optimizer: { type: 'string', enum: ['cobyla', 'bfgs', 'adam'], default: 'cobyla' },
          initialParams: { type: 'string', enum: ['random', 'heuristic', 'transfer'] }
        }
      },
      shots: { type: 'number', default: 1024 }
    },
    required: ['problem']
  }
}

3. `quantum/grover-search`

Grover-inspired quadratic speedup for search.

typescript

{
  name: 'quantum/grover-search',
  description: 'Grover-inspired search with quadratic speedup',
  inputSchema: {
    type: 'object',
    properties: {
      searchSpace: {
        type: 'object',
        properties: {
          size: { type: 'number', description: 'N elements in search space' },
          oracle: { type: 'string', description: 'Predicate function definition' },
          structure: { type: 'string', enum: ['unstructured', 'database', 'tree', 'graph'] }
        }
      },
      targets: { type: 'number', default: 1, description: 'Expected number of solutions' },
      iterations: { type: 'string', enum: ['optimal', 'fixed', 'adaptive'], default: 'optimal' },
      amplification: {
        type: 'object',
        properties: {
          method: { type: 'string', enum: ['standard', 'fixed_point', 'robust'] },
          boostFactor: { type: 'number' }
        }
      }
    },
    required: ['searchSpace']
  }
}

4. `quantum/dependency-resolve`

Quantum-inspired dependency resolution.

typescript

{
  name: 'quantum/dependency-resolve',
  description: 'Resolve complex dependency graphs using quantum optimization',
  inputSchema: {
    type: 'object',
    properties: {
      packages: {
        type: 'array',
        items: {
          type: 'object',
          properties: {
            name: { type: 'string' },
            version: { type: 'string' },
            dependencies: { type: 'object' },
            conflicts: { type: 'array' }
          }
        }
      },
      constraints: {
        type: 'object',
        properties: {
          minimize: { type: 'string', enum: ['versions', 'size', 'vulnerabilities'] },
          lockfile: { type: 'object' },
          peer: { type: 'boolean' }
        }
      },
      solver: { type: 'string', enum: ['quantum_annealing', 'qaoa', 'hybrid'], default: 'hybrid' }
    },
    required: ['packages']
  }
}

5. `quantum/schedule-optimize`

Quantum-optimized task scheduling.

typescript

{
  name: 'quantum/schedule-optimize',
  description: 'Optimize task scheduling using quantum algorithms',
  inputSchema: {
    type: 'object',
    properties: {
      tasks: {
        type: 'array',
        items: {
          type: 'object',
          properties: {
            id: { type: 'string' },
            duration: { type: 'number' },
            dependencies: { type: 'array' },
            resources: { type: 'array' },
            deadline: { type: 'number' }
          }
        }
      },
      resources: {
        type: 'array',
        items: {
          type: 'object',
          properties: {
            id: { type: 'string' },
            capacity: { type: 'number' },
            cost: { type: 'number' }
          }
        }
      },
      objective: {
        type: 'string',
        enum: ['makespan', 'cost', 'utilization', 'weighted'],
        default: 'makespan'
      }
    },
    required: ['tasks', 'resources']
  }
}

Use Cases

Dependency Resolution: Solve complex version conflicts in package managers
Task Scheduling: Optimal CI/CD pipeline scheduling
Resource Allocation: Distribute workloads across agents/machines
Test Selection: Find minimal test sets with maximum coverage
Configuration Optimization: Find optimal system configurations

Architecture

+------------------+     +----------------------+     +------------------+
| Problem Input    |---->| Quantum Optimizer    |---->| Optimal Solution |
| (Constraints)    |     | (WASM Accelerated)   |     | (+ Certificate)  |
+------------------+     +----------------------+     +------------------+
                                   |
              +--------------------+--------------------+
              |                    |                    |
       +------+------+     +-------+-------+    +------+------+
       | Quantum     |     |    QAOA       |    | Grover      |
       | Annealing   |     | Variational   |    | Search      |
       +-------------+     +---------------+    +-------------+
                                   |
                           +-------+-------+
                           | Exotic WASM   |
                           | Primitives    |
                           +---------------+

Quantum-Inspired Algorithms

Algorithm	Speedup	Problem Class	Classical Equivalent
Quantum Annealing	Exponential (heuristic)	Combinatorial	Simulated Annealing
QAOA	Polynomial	Max-Cut, QUBO	Goemans-Williamson
Grover Search	Quadratic O(sqrt(N))	Unstructured Search	Linear Search
Quantum Walk	Polynomial	Graph Problems	Random Walk
VQE	Variable	Eigenvalue	Power Iteration

Performance Targets

Metric	Target	Baseline (Classical)	Improvement
Annealing (100 vars)	<1s for 1000 reads	~30s (brute force)	30x
QAOA (50 qubits)	<10s for p=5	~5min (classical approx)	30x
Grover (1M elements)	<100ms	~1s (linear search)	10x (sqrt speedup)
Dependency resolution	<5s for 1000 packages	~2min (SAT solver)	24x
Schedule optimization	<30s for 100 tasks	~10min (ILP solver)	20x

Security Considerations

Input Validation (CRITICAL)

All MCP tool inputs MUST be validated using Zod schemas:

typescript

// quantum/annealing-solve input validation
const AnnealingSolveSchema = z.object({
  problem: z.object({
    type: z.enum(['qubo', 'ising', 'sat', 'max_cut', 'tsp', 'dependency']),
    variables: z.number().int().min(1).max(10000), // Max 10K variables
    constraints: z.array(z.unknown()).max(100000),
    objective: z.record(z.string(), z.number().finite())
  }),
  parameters: z.object({
    numReads: z.number().int().min(1).max(10000).default(1000),
    annealingTime: z.number().min(1).max(1000).default(20),
    chainStrength: z.number().min(0.1).max(100).default(1.0),
    temperature: z.object({
      initial: z.number().min(0.001).max(1000).optional(),
      final: z.number().min(0.0001).max(100).optional()
    }).optional()
  }).optional(),
  embedding: z.enum(['auto', 'minor', 'pegasus', 'chimera']).optional()
});

// quantum/qaoa-optimize input validation
const QAOAOptimizeSchema = z.object({
  problem: z.object({
    type: z.enum(['max_cut', 'portfolio', 'scheduling', 'routing']),
    graph: z.object({
      nodes: z.number().int().min(1).max(1000),
      edges: z.array(z.tuple([z.number(), z.number()])).max(100000)
    }),
    weights: z.record(z.string(), z.number().finite()).optional()
  }),
  circuit: z.object({
    depth: z.number().int().min(1).max(20).default(3),
    optimizer: z.enum(['cobyla', 'bfgs', 'adam']).default('cobyla'),
    initialParams: z.enum(['random', 'heuristic', 'transfer']).optional()
  }).optional(),
  shots: z.number().int().min(100).max(100000).default(1024)
});

// quantum/grover-search input validation
const GroverSearchSchema = z.object({
  searchSpace: z.object({
    size: z.number().int().min(1).max(1_000_000_000), // Max 1B elements
    oracle: z.string().max(10000), // Predicate definition
    structure: z.enum(['unstructured', 'database', 'tree', 'graph'])
  }),
  targets: z.number().int().min(1).max(1000).default(1),
  iterations: z.enum(['optimal', 'fixed', 'adaptive']).default('optimal'),
  amplification: z.object({
    method: z.enum(['standard', 'fixed_point', 'robust']).optional(),
    boostFactor: z.number().min(1).max(10).optional()
  }).optional()
});

WASM Security Constraints (CRITICAL FOR EXOTIC ALGORITHMS)

Constraint	Value	Rationale
Memory Limit	4GB max	Quantum simulation is memory-intensive
CPU Time Limit	600 seconds (10 min)	Allow long optimization runs
Iteration Limit	1M iterations max	Prevent infinite loops
Variable Limit	10K variables max	Bound computational complexity
No Parallelism Escape	WASM threads only	Prevent resource exhaustion

Computational Resource Limits (HIGH)

typescript

// Quantum-inspired algorithms can be computationally expensive
// MUST enforce strict resource limits

interface QuantumResourceLimits {
  maxVariables: 10000;       // Problem size limit
  maxIterations: 1000000;    // Annealing/optimization steps
  maxMemoryBytes: 4294967296; // 4GB
  maxCpuTimeMs: 600000;      // 10 minutes
  maxCircuitDepth: 20;       // QAOA circuit depth
  maxQubits: 50;             // Simulated qubits

  // Progress checkpoints (cancel if no progress)
  progressCheckIntervalMs: 10000; // Check every 10 seconds
  minProgressThreshold: 0.001;    // Min improvement per checkpoint
}

// Enforce limits during execution
async function runWithLimits<T>(
  operation: () => Promise<T>,
  limits: QuantumResourceLimits
): Promise<T> {
  const startTime = Date.now();
  const memoryBefore = process.memoryUsage().heapUsed;

  // Set up timeout
  const timeout = setTimeout(() => {
    throw new ResourceLimitError('CPU_TIME_EXCEEDED');
  }, limits.maxCpuTimeMs);

  try {
    const result = await operation();
    return result;
  } finally {
    clearTimeout(timeout);
  }
}

Denial of Service Prevention (HIGH)

typescript

// Quantum problems can be crafted to cause exponential blowup
// Validate problem structure before processing

function validateQuantumProblem(problem: QuantumProblem): ValidationResult {
  // Check for pathological cases
  if (problem.variables > 10000) {
    return { valid: false, error: 'Too many variables' };
  }

  // Detect highly connected graphs (exponential complexity)
  const avgDegree = problem.constraints.length / problem.variables;
  if (avgDegree > problem.variables / 10) {
    return { valid: false, error: 'Graph too densely connected' };
  }

  // Check coefficient magnitudes (numerical stability)
  for (const coeff of Object.values(problem.objective)) {
    if (!Number.isFinite(coeff) || Math.abs(coeff) > 1e15) {
      return { valid: false, error: 'Invalid coefficient magnitude' };
    }
  }

  return { valid: true };
}

Identified Security Risks

Risk ID	Severity	Description	Mitigation
QUANT-SEC-001	HIGH	DoS via exponentially complex problems	Problem validation, complexity bounds
QUANT-SEC-002	HIGH	Resource exhaustion via large simulations	Memory/CPU limits, progress monitoring
QUANT-SEC-003	MEDIUM	Numerical overflow in quantum operations	Coefficient validation, numerical guards
QUANT-SEC-004	MEDIUM	Oracle injection (arbitrary predicate)	Predicate sandboxing, no eval()
QUANT-SEC-005	LOW	Timing side-channels revealing problem structure	Constant-time operations where feasible

Oracle Security (Grover Search)

typescript

// The oracle predicate MUST be sandboxed
// NEVER use eval() or Function() constructor

// BAD - arbitrary code execution
const oracle = new Function('x', userProvidedPredicate);

// GOOD - parsed and interpreted safely
const oracleAST = parseOraclePredicate(userProvidedPredicate);
const oracle = compileOracleToSafeFunction(oracleAST);

// Allowed predicate operations:
// - Comparison: ==, !=, <, >, <=, >=
// - Logical: &&, ||, !
// - Arithmetic: +, -, *, /, %
// - Property access: x.field
// NOT allowed:
// - Function calls
// - Object construction
// - Property assignment

Rate Limiting

typescript

const QuantumRateLimits = {
  'quantum/annealing-solve': { requestsPerMinute: 5, maxConcurrent: 1 },
  'quantum/qaoa-optimize': { requestsPerMinute: 5, maxConcurrent: 1 },
  'quantum/grover-search': { requestsPerMinute: 10, maxConcurrent: 2 },
  'quantum/dependency-resolve': { requestsPerMinute: 10, maxConcurrent: 2 },
  'quantum/schedule-optimize': { requestsPerMinute: 5, maxConcurrent: 1 }
};

Risk Assessment

Risk	Likelihood	Impact	Mitigation
Suboptimal solutions	High	Medium	Solution quality bounds, hybrid fallback
Problem encoding errors	Medium	High	Validation framework, encoding templates
Compute requirements	Medium	Medium	Efficient WASM, progressive refinement
Overpromising quantum advantage	Medium	Low	Clear documentation of "inspired" vs "actual"

Problem Encoding

Classical Problem --> QUBO/Ising --> Quantum Circuit --> Solution
       |                  |                |               |
       v                  v                v               v
[constraints]      [energy function]  [parameterized]  [measured]
[objective]        [coupling matrix]  [variational]    [decoded]

Implementation Notes

Phase 1: Core Solvers

QUBO/Ising formulation
Simulated quantum annealing
Basic Grover emulation

Phase 2: Advanced Algorithms

QAOA variational optimizer
Quantum walk search
Hybrid classical-quantum solvers

Phase 3: Domain Applications

Dependency resolver
Task scheduler
Test selector

Dependencies

json

{
  "dependencies": {
    "ruvector-exotic-wasm": "^0.1.0",
    "ruvector-sparse-inference-wasm": "^0.1.0",
    "micro-hnsw-wasm": "^0.2.0",
    "ruvector-dag-wasm": "^0.1.0",
    "ruvector-hyperbolic-hnsw-wasm": "^0.1.0"
  }
}

Theoretical Background

Quantum Annealing

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

QAOA

Variational algorithm alternating between problem Hamiltonian and mixer. Emulated via tensor network contraction.

Grover's Algorithm

Amplitude amplification for unstructured search. Classical implementation uses interference-inspired importance sampling.

Consequences

Positive

Significant speedups for NP-hard optimization problems
No quantum hardware required - runs on WASM
Applicable to many software engineering problems

Negative

Approximation algorithms - not guaranteed optimal
Problem encoding requires expertise
Performance varies by problem structure

Neutral

Complements classical solvers for specific problem classes

ADR	Relationship
ADR-004: Plugin Architecture	Foundation - Defines plugin structure
ADR-017: RuVector Integration	Dependency - Provides WASM packages
ADR-033: Financial Risk	Related - Portfolio optimization
ADR-036: Test Intelligence	Related - Test selection optimization
ADR-038: Neural Coordination	Related - Task scheduling

References

Quantum Annealing: https://arxiv.org/abs/cond-mat/0701277
QAOA: https://arxiv.org/abs/1411.4028
Grover's Algorithm: https://arxiv.org/abs/quant-ph/9605043
ADR-017: RuVector Integration
ADR-004: Plugin Architecture

Last Updated: 2026-01-24

ADR-040: Quantum-Inspired Optimization Plugin

ADR-040: Quantum-Inspired Optimization Plugin

Context

Decision

Plugin Name

Description

Key WASM Packages

MCP Tools

1. quantum/annealing-solve

2. quantum/qaoa-optimize

3. quantum/grover-search

4. quantum/dependency-resolve

5. quantum/schedule-optimize

Use Cases

Architecture

Quantum-Inspired Algorithms

Performance Targets

Security Considerations

Input Validation (CRITICAL)

WASM Security Constraints (CRITICAL FOR EXOTIC ALGORITHMS)

Computational Resource Limits (HIGH)

Denial of Service Prevention (HIGH)

Identified Security Risks

Oracle Security (Grover Search)

Rate Limiting

Risk Assessment

Problem Encoding

Implementation Notes

Phase 1: Core Solvers

Phase 2: Advanced Algorithms

Phase 3: Domain Applications

Dependencies

Theoretical Background

Quantum Annealing

QAOA

Grover's Algorithm

Consequences

Positive

Negative

Neutral

Related ADRs

References

1. `quantum/annealing-solve`

2. `quantum/qaoa-optimize`

3. `quantum/grover-search`

4. `quantum/dependency-resolve`

5. `quantum/schedule-optimize`