/** * Swarm-based Quantum Circuit Exploration * * Uses swarm intelligence and AgentDB to explore quantum circuit designs, * learn optimal ansatz patterns, and discover novel circuit architectures. * * Features: * - Multi-agent circuit exploration * - Pattern recognition with AgentDB vector search * - Self-learning optimal circuit depths * - Adaptive ansatz generation */ import AgentDB from 'agentdb'; import OpenAI from 'openai'; export interface CircuitExplorationConfig { numQubits: number; problemType: 'maxcut' | 'vqe' | 'qaoa' | 'custom'; swarmSize: number; maxDepth: number; explorationSteps: number; learningRate: number; memorySize: number; useOpenRouter?: boolean; openrouterApiKey?: string; } export interface QuantumCircuit { gates: Gate[]; depth: number; numQubits: number; parameters: number[]; performance: number; metadata: CircuitMetadata; } export interface Gate { type: 'RX' | 'RY' | 'RZ' | 'CNOT' | 'CZ' | 'H' | 'T' | 'S'; qubits: number[]; parameter?: number; } export interface CircuitMetadata { ansatzType: string; problemType: string; twoQubitGateCount: number; expressibility: number; entanglingCapability: number; circuitId: string; } export interface SwarmAgent { id: string; position: QuantumCircuit; velocity: number[]; bestPosition: QuantumCircuit; bestPerformance: number; } export interface ExplorationResult { bestCircuit: QuantumCircuit; bestPerformance: number; explorationHistory: QuantumCircuit[]; learnedPatterns: CircuitPattern[]; convergenceData: ConvergenceData; executionTime: number; } export interface CircuitPattern { pattern: string; frequency: number; averagePerformance: number; embedding: number[]; } export interface ConvergenceData { performanceHistory: number[]; diversityHistory: number[]; converged: boolean; convergenceStep: number; } /** * Swarm-based Circuit Explorer with AgentDB */ export class SwarmCircuitExplorer { private config: CircuitExplorationConfig; private agentDB: any; private openai?: OpenAI; private swarm: SwarmAgent[] = []; private globalBest?: QuantumCircuit; private explorationHistory: QuantumCircuit[] = []; constructor(config: CircuitExplorationConfig) { this.config = config; this.initializeAgentDB(); if (config.useOpenRouter && config.openrouterApiKey) { this.openai = new OpenAI({ baseURL: 'https://openrouter.ai/api/v1', apiKey: config.openrouterApiKey, }); } } /** * Initialize AgentDB for pattern storage and retrieval */ private async initializeAgentDB(): Promise { this.agentDB = await AgentDB.getInstance({ name: 'quantum-circuit-patterns', dimensions: 128, metric: 'cosine', quantization: { enabled: true, bits: 8 } }); // Enable learning for adaptive optimization await this.agentDB.enableLearning({ algorithm: 'decision-transformer', learningRate: this.config.learningRate }); } /** * Explore quantum circuit space using swarm intelligence */ async explore(): Promise { const startTime = Date.now(); // Initialize swarm this.initializeSwarm(); const performanceHistory: number[] = []; const diversityHistory: number[] = []; let converged = false; let convergenceStep = 0; for (let step = 0; step < this.config.explorationSteps; step++) { // Update each agent await Promise.all(this.swarm.map(agent => this.updateAgent(agent, step))); // Evaluate circuits and update global best await this.evaluateSwarm(); // Learn patterns from high-performing circuits if (step % 10 === 0) { await this.learnCircuitPatterns(); } // Use OpenRouter for problem decomposition (optional) if (this.openai && step % 50 === 0) { await this.decomposeWithLLM(); } // Track convergence const avgPerformance = this.swarm.reduce((sum, a) => sum + a.bestPerformance, 0) / this.swarm.length; const diversity = this.computeSwarmDiversity(); performanceHistory.push(avgPerformance); diversityHistory.push(diversity); // Check convergence if (diversity < 0.01 && performanceHistory.length > 20) { const recentImprovement = Math.abs( performanceHistory[performanceHistory.length - 1] - performanceHistory[performanceHistory.length - 20] ); if (recentImprovement < 1e-6) { converged = true; convergenceStep = step; break; } } } // Extract learned patterns const learnedPatterns = await this.extractLearnedPatterns(); const executionTime = Date.now() - startTime; return { bestCircuit: this.globalBest!, bestPerformance: this.globalBest?.performance || 0, explorationHistory: this.explorationHistory, learnedPatterns, convergenceData: { performanceHistory, diversityHistory, converged, convergenceStep }, executionTime }; } /** * Initialize swarm with random circuits */ private initializeSwarm(): void { this.swarm = []; for (let i = 0; i < this.config.swarmSize; i++) { const circuit = this.generateRandomCircuit(); this.swarm.push({ id: `agent-${i}`, position: circuit, velocity: Array(circuit.parameters.length).fill(0).map(() => Math.random() - 0.5), bestPosition: circuit, bestPerformance: -Infinity }); } } /** * Generate random quantum circuit */ private generateRandomCircuit(): QuantumCircuit { const depth = Math.floor(Math.random() * this.config.maxDepth) + 1; const gates: Gate[] = []; const parameters: number[] = []; for (let layer = 0; layer < depth; layer++) { // Add parameterized rotation gates for (let qubit = 0; qubit < this.config.numQubits; qubit++) { const gateType = ['RX', 'RY', 'RZ'][Math.floor(Math.random() * 3)] as Gate['type']; const param = Math.random() * 2 * Math.PI; gates.push({ type: gateType, qubits: [qubit], parameter: param }); parameters.push(param); } // Add entangling gates for (let qubit = 0; qubit < this.config.numQubits - 1; qubit++) { gates.push({ type: 'CNOT', qubits: [qubit, qubit + 1] }); } } const metadata = this.computeCircuitMetadata(gates); return { gates, depth, numQubits: this.config.numQubits, parameters, performance: 0, metadata }; } /** * Update agent position using PSO-like dynamics with pattern learning */ private async updateAgent(agent: SwarmAgent, step: number): Promise { const w = 0.7; // Inertia weight const c1 = 1.5; // Cognitive parameter const c2 = 1.5; // Social parameter // Query similar high-performing circuits from AgentDB const similarCircuits = await this.querySimilarCircuits(agent.position); // Update velocity for (let i = 0; i < agent.velocity.length; i++) { const r1 = Math.random(); const r2 = Math.random(); const cognitive = c1 * r1 * (agent.bestPosition.parameters[i] - agent.position.parameters[i]); const social = c2 * r2 * (this.globalBest?.parameters[i] || 0 - agent.position.parameters[i]); // Add pattern-based attraction const patternInfluence = similarCircuits.length > 0 ? 0.5 * (similarCircuits[0].parameters[i] - agent.position.parameters[i]) : 0; agent.velocity[i] = w * agent.velocity[i] + cognitive + social + patternInfluence; // Clamp velocity agent.velocity[i] = Math.max(-Math.PI, Math.min(Math.PI, agent.velocity[i])); } // Update position (circuit parameters) const newParameters = agent.position.parameters.map((p, i) => { const newP = p + agent.velocity[i]; return ((newP % (2 * Math.PI)) + 2 * Math.PI) % (2 * Math.PI); }); agent.position = { ...agent.position, parameters: newParameters }; } /** * Evaluate swarm and update best circuits */ private async evaluateSwarm(): Promise { for (const agent of this.swarm) { const performance = await this.evaluateCircuit(agent.position); agent.position.performance = performance; // Update personal best if (performance > agent.bestPerformance) { agent.bestPerformance = performance; agent.bestPosition = { ...agent.position }; } // Update global best if (!this.globalBest || performance > this.globalBest.performance) { this.globalBest = { ...agent.position }; } // Store in exploration history this.explorationHistory.push({ ...agent.position }); } } /** * Evaluate circuit performance (problem-specific) */ private async evaluateCircuit(circuit: QuantumCircuit): Promise { // Evaluate based on problem type switch (this.config.problemType) { case 'maxcut': return this.evaluateMaxCutCircuit(circuit); case 'vqe': return this.evaluateVQECircuit(circuit); case 'qaoa': return this.evaluateQAOACircuit(circuit); default: return this.evaluateGenericCircuit(circuit); } } /** * Evaluate circuit for MaxCut problem */ private evaluateMaxCutCircuit(circuit: QuantumCircuit): number { // Simulate circuit and compute MaxCut expectation value // Higher is better (more edges cut) const { expressibility, entanglingCapability } = circuit.metadata; const depthPenalty = circuit.depth / this.config.maxDepth; // Combine factors (simplified evaluation) return expressibility * entanglingCapability * (1 - 0.3 * depthPenalty); } /** * Evaluate circuit for VQE problem */ private evaluateVQECircuit(circuit: QuantumCircuit): number { // Lower energy is better for VQE const { expressibility } = circuit.metadata; return expressibility; } /** * Evaluate circuit for QAOA problem */ private evaluateQAOACircuit(circuit: QuantumCircuit): number { const { expressibility, entanglingCapability } = circuit.metadata; return (expressibility + entanglingCapability) / 2; } /** * Generic circuit evaluation */ private evaluateGenericCircuit(circuit: QuantumCircuit): number { const { expressibility, entanglingCapability, twoQubitGateCount } = circuit.metadata; const efficiency = 1 / (1 + twoQubitGateCount / 10); return (expressibility + entanglingCapability) / 2 * efficiency; } /** * Compute circuit metadata */ private computeCircuitMetadata(gates: Gate[]): CircuitMetadata { const twoQubitGateCount = gates.filter(g => g.qubits.length > 1).length; // Expressibility: measure of state space coverage const parameterizedGates = gates.filter(g => g.parameter !== undefined).length; const expressibility = Math.min(1, parameterizedGates / (this.config.numQubits * 3)); // Entangling capability: measure of entanglement generation const entanglingCapability = Math.min(1, twoQubitGateCount / (this.config.numQubits - 1)); return { ansatzType: 'hardware-efficient', problemType: this.config.problemType, twoQubitGateCount, expressibility, entanglingCapability, circuitId: this.generateCircuitId(gates) }; } /** * Generate unique circuit ID */ private generateCircuitId(gates: Gate[]): string { const gateString = gates.map(g => `${g.type}${g.qubits.join(',')}`).join('-'); return Buffer.from(gateString).toString('base64').substring(0, 16); } /** * Learn patterns from high-performing circuits */ private async learnCircuitPatterns(): Promise { // Get top 20% circuits by performance const sortedCircuits = [...this.explorationHistory] .sort((a, b) => b.performance - a.performance) .slice(0, Math.floor(this.explorationHistory.length * 0.2)); // Store in AgentDB with embeddings for (const circuit of sortedCircuits) { const embedding = this.circuitToEmbedding(circuit); await this.agentDB.store({ id: circuit.metadata.circuitId, embedding, metadata: { performance: circuit.performance, depth: circuit.depth, gates: circuit.gates, parameters: circuit.parameters, ...circuit.metadata } }); // Train learning algorithm await this.agentDB.learn({ state: embedding, action: circuit.parameters, reward: circuit.performance }); } } /** * Convert circuit to embedding vector */ private circuitToEmbedding(circuit: QuantumCircuit): number[] { const embedding = Array(128).fill(0); // Encode gate sequence circuit.gates.forEach((gate, idx) => { if (idx < 30) { const gateCode = this.gateTypeToCode(gate.type); embedding[idx * 4] = gateCode; embedding[idx * 4 + 1] = gate.qubits[0] / this.config.numQubits; embedding[idx * 4 + 2] = gate.qubits[1] !== undefined ? gate.qubits[1] / this.config.numQubits : 0; embedding[idx * 4 + 3] = gate.parameter || 0; } }); // Encode circuit properties embedding[120] = circuit.depth / this.config.maxDepth; embedding[121] = circuit.metadata.expressibility; embedding[122] = circuit.metadata.entanglingCapability; embedding[123] = circuit.metadata.twoQubitGateCount / 20; embedding[124] = circuit.performance; return embedding; } /** * Query similar circuits from AgentDB */ private async querySimilarCircuits(circuit: QuantumCircuit): Promise { const embedding = this.circuitToEmbedding(circuit); const results = await this.agentDB.query({ embedding, topK: 5, threshold: 0.7 }); return results.map((r: any) => ({ gates: r.metadata.gates, depth: r.metadata.depth, numQubits: this.config.numQubits, parameters: r.metadata.parameters, performance: r.metadata.performance, metadata: { ansatzType: r.metadata.ansatzType, problemType: r.metadata.problemType, twoQubitGateCount: r.metadata.twoQubitGateCount, expressibility: r.metadata.expressibility, entanglingCapability: r.metadata.entanglingCapability, circuitId: r.metadata.circuitId } })); } /** * Extract learned patterns from AgentDB */ private async extractLearnedPatterns(): Promise { // Get all stored circuits const allCircuits = await this.agentDB.getAll(); // Extract common gate patterns const patternMap = new Map(); allCircuits.forEach((item: any) => { const gates = item.metadata.gates as Gate[]; const pattern = this.extractGatePattern(gates); if (!patternMap.has(pattern)) { patternMap.set(pattern, { count: 0, totalPerf: 0, embeddings: [] }); } const entry = patternMap.get(pattern)!; entry.count++; entry.totalPerf += item.metadata.performance; entry.embeddings.push(item.embedding); }); // Convert to pattern array return Array.from(patternMap.entries()).map(([pattern, data]) => ({ pattern, frequency: data.count, averagePerformance: data.totalPerf / data.count, embedding: this.averageEmbeddings(data.embeddings) })); } /** * Extract gate pattern signature */ private extractGatePattern(gates: Gate[]): string { // Extract pattern of first few gates return gates.slice(0, 10).map(g => g.type).join('-'); } /** * Compute average embedding */ private averageEmbeddings(embeddings: number[][]): number[] { if (embeddings.length === 0) return Array(128).fill(0); const sum = Array(128).fill(0); embeddings.forEach(emb => { emb.forEach((val, idx) => { sum[idx] += val; }); }); return sum.map(s => s / embeddings.length); } /** * Use LLM for problem decomposition */ private async decomposeWithLLM(): Promise { if (!this.openai) return; try { const response = await this.openai.chat.completions.create({ model: 'anthropic/claude-3.5-sonnet', messages: [{ role: 'user', content: `Suggest optimal quantum circuit structure for ${this.config.problemType} problem with ${this.config.numQubits} qubits. Focus on gate types and entanglement patterns.` }], max_tokens: 500 }); const suggestion = response.choices[0].message.content; console.log('LLM Suggestion:', suggestion); // Parse suggestion and influence swarm (simplified) // In production, this would parse structured output and modify circuit generation } catch (error) { console.warn('LLM decomposition failed:', error); } } /** * Compute swarm diversity */ private computeSwarmDiversity(): number { if (this.swarm.length < 2) return 1; let totalDistance = 0; let count = 0; for (let i = 0; i < this.swarm.length; i++) { for (let j = i + 1; j < this.swarm.length; j++) { const distance = this.circuitDistance( this.swarm[i].position, this.swarm[j].position ); totalDistance += distance; count++; } } return count > 0 ? totalDistance / count : 0; } /** * Compute distance between circuits */ private circuitDistance(c1: QuantumCircuit, c2: QuantumCircuit): number { const paramDist = Math.sqrt( c1.parameters.reduce((sum, p, i) => sum + Math.pow(p - c2.parameters[i], 2), 0) ); return paramDist / Math.sqrt(c1.parameters.length); } /** * Convert gate type to numerical code */ private gateTypeToCode(type: Gate['type']): number { const codes: Record = { 'RX': 0.1, 'RY': 0.2, 'RZ': 0.3, 'CNOT': 0.4, 'CZ': 0.5, 'H': 0.6, 'T': 0.7, 'S': 0.8 }; return codes[type] || 0; } } /** * Explore circuits with swarm intelligence */ export async function exploreCircuits( config: Partial ): Promise { const fullConfig: CircuitExplorationConfig = { numQubits: config.numQubits || 4, problemType: config.problemType || 'maxcut', swarmSize: config.swarmSize || 20, maxDepth: config.maxDepth || 5, explorationSteps: config.explorationSteps || 100, learningRate: config.learningRate || 0.01, memorySize: config.memorySize || 1000, useOpenRouter: config.useOpenRouter, openrouterApiKey: config.openrouterApiKey }; const explorer = new SwarmCircuitExplorer(fullConfig); return explorer.explore(); }