🔐 Quantum-Resistant Zero-Knowledge Proofs

NeaByteLab | August 2025 | Version 1.0.0

Research Implementation - Comprehensive TypeScript library for understanding quantum-resistant zero-knowledge proof protocols. Designed for research, education, and prototyping applications.

📋 Overview

A comprehensive TypeScript library implementing quantum-resistant zero-knowledge proof protocols using educational cryptographic concepts. This library provides educational implementations of four major post-quantum cryptography approaches:

• Hash-Based ZKP: Hash chain implementations using SHA-256/384/512
• Lattice-Based ZKP: Learning With Errors (LWE) implementations for lattice cryptography
• Multivariate ZKP: Polynomial system implementations for multivariate cryptography
• Hybrid ZKP: Multi-algorithm approaches for defense-in-depth concepts

✨ Key Features

• 🔬 Research Focus: Comprehensive implementations for understanding cryptographic concepts
• 📚 Detailed Documentation: Mathematical foundations and security analysis
• ⚡ Performance Benchmarks: Built-in benchmarking for algorithm comparison
• 🛡️ Security Analysis: Research-grade security assessments
• 📱 Cross-Platform: Node.js 22+ (browser support planned)
• 🧪 Prototyping Tools: Development utilities for testing concepts

🏗️ Library Architecture

graph TB
    A[QuantumZKP Core] --> B[HashZKP]
    A --> C[LatticeZKP]
    A --> D[MultivariateZKP]
    A --> E[HybridZKP]
    
    A --> F[Benchmarking]
    A --> G[Documentation]
    
    style A fill:#e3f2fd,stroke:#1976d2,stroke-width:3px,color:#000000
    style B fill:#c8e6c9,stroke:#2e7d32,stroke-width:2px,color:#000000
    style C fill:#fff3e0,stroke:#f57c00,stroke-width:2px,color:#000000
    style D fill:#f3e5f5,stroke:#7b1fa2,stroke-width:2px,color:#000000
    style E fill:#f8bbd9,stroke:#c2185b,stroke-width:2px,color:#000000
    style F fill:#e8f5e8,stroke:#388e3c,stroke-width:2px,color:#000000
    style G fill:#fff3e0,stroke:#f57c00,stroke-width:2px,color:#000000

📊 Algorithm Comparison

| Algorithm | Foundation | Research Purpose | Performance Profile | |-----------|------------|-------------------|-------------------| | Hash | SHA-256/384/512 hash functions | Understanding hash-based cryptography | 1.76ms generation, 1.07ms verification | | Lattice | Learning With Errors (LWE) | Researching lattice cryptography principles | 389.67ms generation, 104.79μs verification | | Multivariate | Multivariate polynomial systems | Studying polynomial cryptography concepts | 377.03μs generation, 17.80μs verification | | Hybrid | Multiple algorithm combination | Researching defense-in-depth concepts | 1.33s generation, 654.66μs verification |

Performance data based on real benchmarks on Apple M3 Pro hardware

🚀 Quick Start

Installation

npm install @neabyte/quantum-zkp

Basic Usage

import { QuantumZKP } from '@neabyte/quantum-zkp'

// Create a quantum-resistant zero-knowledge proof
const secret = 'my-secret-data'
const zkp = new QuantumZKP()
const proof = zkp.createProof(secret, 'hash')

// Verify the proof
const verificationResult = zkp.verifyProof(proof)
console.log('Proof valid:', verificationResult.isValid) // true
console.log('Verification time:', verificationResult.verificationTime, 'ms')

Advanced Usage

import { LatticeZKP, HashZKP, MultivariateZKP, HybridZKP } from '@neabyte/quantum-zkp'

// Hash-based ZKP
const hashProof = HashZKP.createProof(secret, {
  chainLength: 1000
})

// Lattice-based ZKP
const latticeProof = LatticeZKP.createProof(secret, {
  dimension: 256,
  modulus: 2n ** 512n
})

// Multivariate ZKP
const multivariateProof = MultivariateZKP.createProof(secret, {
  variables: 8,
  equations: 12
})

// Hybrid ZKP
const hybridProof = HybridZKP.createProof(secret, {
  algorithms: ['hash', 'lattice'],
  weights: [0.6, 0.4]
})

🔧 Advanced Features

Threshold Cryptography

// Create distributed proof across multiple parties
const thresholdProof = zkp.createThresholdProof(secret, 3, 'lattice')
console.log('Threshold:', thresholdProof.threshold) // 2
console.log('Parties:', thresholdProof.parties) // 3

Batch Processing

// Process multiple proofs efficiently
const secrets = ['secret1', 'secret2', 'secret3', 'secret4']
const proofs = zkp.batchCreateProofs(secrets, 'hash', {
  parallel: true,
  batchSize: 2,
  progressCallback: (progress) => console.log(`Progress: ${progress * 100}%`)
})

Performance Benchmarking

// Benchmark all algorithms
const benchmarks = zkp.benchmarkAllAlgorithms()
benchmarks.forEach(result => {
  console.log(`${result.algorithm}: ${result.operationsPerSecond} ops/sec`)
})

🧠 Zero-Knowledge Proof Concepts

Basic ZKP Flow

flowchart LR
    A[Prover<br/>Secret Knowledge] --> B[Commitment<br/>Hide Secret]
    B --> C[Challenge<br/>Random Value]
    C --> D[Response<br/>Proof Without Secret]
    D --> E[Verification<br/>Check Validity]
    
    style A fill:#ffebee,color:#000000
    style E fill:#e8f5e8,color:#000000

ZKP Properties

graph TD
    A[ZKP Properties] --> B[🔐 Completeness]
    A --> C[🛡️ Soundness]
    A --> D[🤐 Zero-Knowledge]
    A --> E[⚡ Efficiency]
    
    B --> B1[Valid proofs always verify]
    C --> C1[Invalid proofs rarely verify]
    D --> D1[No secret information revealed]
    E --> E1[Practical to generate/verify]
    
    style A fill:#ffffff,stroke:#000000,stroke-width:2px,color:#000000
    style B fill:#ffffff,stroke:#000000,stroke-width:2px,color:#000000
    style C fill:#ffffff,stroke:#000000,stroke-width:2px,color:#000000
    style D fill:#ffffff,stroke:#000000,stroke-width:2px,color:#000000
    style E fill:#ffffff,stroke:#000000,stroke-width:2px,color:#000000

Hash-Based ZKP Flow

flowchart LR
    A[Secret] --> B[Hash Chain]
    B --> C[Commitment]
    C --> D[Challenge]
    
    A --> E[Witness]
    E --> F[Response]
    F --> G[Verification]
    G --> H[Result]
    
    D --> F
    
    subgraph "Research Features"
        I[📊 Hash Chain Concepts]
        J[🔒 Hash Function Security]
        K[⚡ Fast Performance]
    end
    
    style A fill:#ffebee,color:#000000
    style H fill:#e8f5e8,color:#000000
    style I fill:#e3f2fd,color:#000000
    style J fill:#fff3e0,color:#000000
    style K fill:#f3e5f5,color:#000000

Lattice-Based ZKP Flow

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flowchart LR
    A[Secret] --> B[LWE Problem]
    B --> C[Commitment]
    C --> D[Challenge]
    
    A --> E[Witness]
    E --> F[LWE Solution]
    F --> G[Verification]
    G --> H[Result]
    
    D --> F
    
    subgraph "Research Features"
        I[📊 Lattice Cryptography]
        J[🔒 LWE Hardness Assumption]
        K[⚡ Medium Performance]
    end
    
    style A fill:#ffebee,color:#000000
    style H fill:#e8f5e8,color:#000000
    style I fill:#e3f2fd,color:#000000
    style J fill:#fff3e0,color:#000000
    style K fill:#f3e5f5,color:#000000

Multivariate ZKP Flow

flowchart LR
    A[Secret] --> B[Polynomial System]
    B --> C[Commitment]
    C --> D[Challenge]
    
    A --> E[Witness]
    E --> F[Polynomial Solution]
    F --> G[Verification]
    G --> H[Result]
    
    D --> F
    
    subgraph "Research Features"
        I[📊 Polynomial Cryptography]
        J[🔒 Polynomial System Solving]
        K[⚡ Complex Security]
    end
    
    style A fill:#ffebee,color:#000000
    style H fill:#e8f5e8,color:#000000
    style I fill:#e3f2fd,color:#000000
    style J fill:#fff3e0,color:#000000
    style K fill:#f3e5f5,color:#000000

Hybrid ZKP Flow

flowchart LR
    A[Secret] --> B[Multiple Algorithms]
    B --> C[Combined Commitment]
    C --> D[Challenge]
    
    A --> E[Witness]
    E --> F[Weighted Response]
    F --> G[Multi-Verification]
    G --> H[Result]
    
    D --> F
    
    subgraph "Research Features"
        I[📊 Defense-in-Depth Concepts]
        J[🔒 Multiple Security Assumptions]
        K[⚡ Maximum Research Security]
    end
    
    style A fill:#ffebee,color:#000000
    style H fill:#e8f5e8,color:#000000
    style I fill:#e3f2fd,color:#000000
    style J fill:#fff3e0,color:#000000
    style K fill:#f3e5f5,color:#000000

🔬 Research Use Cases

Blockchain & Web3 Research

// Research privacy-preserving transactions
const proof = zkp.createProof(transactionData, 'hash')
// Study how zero-knowledge proofs work in blockchain systems

Identity Management Research

// Research identity proof concepts
const identityProof = zkp.createProof(userCredentials, 'lattice')
// Study anonymous authentication concepts

IoT Security Research

// Research lightweight authentication concepts
const deviceProof = HashZKP.createProof(deviceSecret)
// Study device-to-device communication concepts

Financial Security Research

// Research digital signature concepts
const signature = HybridZKP.createProof(financialDocument)
// Study long-term document security concepts

⚡ Performance Characteristics

For detailed performance analysis and optimization recommendations, see PERFORMANCE.md.

Algorithm Performance (Real Benchmarks)

| Algorithm | Generation Time | Verification Time | Proof Size | Memory Usage | Ops/sec | |-----------|----------------|-------------------|------------|--------------|---------| | Hash | 1.76ms | 1.07ms | 416.18 KB | ~256 KB | 569.1 | | Lattice | 389.67ms | 104.79μs | 5.01 KB | ~512 KB | 2.6 | | Multivariate | 377.03μs | 17.80μs | 9.26 KB | 255.9 KB | 2652.3 | | Hybrid | 1.33s | 654.66μs | 431.54 KB | ~1 MB | 0.7 |

Benchmark results from Apple M3 Pro with Node.js 22.16.0

Hardware Requirements

• Minimum: Node.js 22+, 2GB RAM
• Recommended: 4GB+ RAM for research hybrid algorithms
• Research: 8GB+ RAM for comprehensive research demonstrations

📚 API Reference

Core Class: QuantumZKP

Constructor

new QuantumZKP(config?: Partial<ZKPConfig>)

Methods

createProof(secret, algorithm?, parameters?)

Creates a quantum-resistant zero-knowledge proof.

Parameters:

• secret: Buffer | string - Secret to prove knowledge of
• algorithm: AlgorithmType - Algorithm to use (default: 'hash')
• parameters?: Partial<ProofParameters> - Algorithm-specific parameters

Returns: Proof - Quantum-resistant proof

verifyProof(proof)

Verifies a quantum-resistant proof.

Parameters:

• proof: Proof - Proof to verify

Returns: VerificationResult - Verification result with timing information

createThresholdProof(secret, parties?, algorithm?)

Creates distributed proof across multiple parties.

Parameters:

• secret: Buffer | string - Secret to prove knowledge of
• parties: number - Number of parties (default: 3)
• algorithm: AlgorithmType - Algorithm to use

Returns: ThresholdProof - Distributed proof with reconstruction key

batchCreateProofs(secrets, algorithm?, options?)

Efficiently creates multiple proofs.

Parameters:

• secrets: (Buffer | string)[] - Array of secrets
• algorithm: AlgorithmType - Algorithm to use
• options?: BatchProcessingOptions - Processing options

Returns: Proof[] - Array of proofs

benchmarkAllAlgorithms()

Benchmarks all supported algorithms.

Returns: BenchmarkResult[] - Performance comparison results

Algorithm-Specific Classes

HashZKP

// Create hash-based proof
const proof = HashZKP.createProof(secret, { chainLength: 1000 })

// Verify hash-based proof
const isValid = HashZKP.verifyProof(proof)

// Get performance metrics
const metrics = HashZKP.getPerformanceMetrics()

// Get security level
const security = HashZKP.getSecurityLevel()

LatticeZKP

// Create lattice-based proof
const proof = LatticeZKP.createProof(secret, { 
  dimension: 256, 
  modulus: 2n ** 512n 
})

// Verify lattice-based proof
const isValid = LatticeZKP.verifyProof(proof)

MultivariateZKP

// Create multivariate proof
const proof = MultivariateZKP.createProof(secret, {
  variables: 8,
  equations: 12
})

// Verify multivariate proof
const isValid = MultivariateZKP.verifyProof(proof)

HybridZKP

// Create hybrid proof
const proof = HybridZKP.createProof(secret, {
  algorithms: ['hash', 'lattice'],
  weights: [0.6, 0.4]
})

// Verify hybrid proof
const isValid = HybridZKP.verifyProof(proof)

🛠️ Development

Setup

git clone https://github.com/NeaByteLab/Quantum-ZKP.git
cd Quantum-ZKP
npm install

Available Scripts

npm run build          # Build the library
npm run dev           # Development mode with watch
npm run test          # Run tests
npm run lint          # Lint code
npm run format        # Format code
npm run benchmark     # Run performance benchmarks
npm run example       # Run basic usage example

Documentation

• README.md - Project overview and quick start
• PERFORMANCE.md - Detailed performance analysis and benchmarks
• SECURITY.md - Security analysis and cryptographic foundations
• LICENSE - Apache 2.0 license

📄 License

This project is licensed under the Apache License 2.0 - see the LICENSE file for details.

🔒 Security

This is a research implementation designed for understanding quantum-resistant cryptography concepts. While the implementations follow established cryptographic principles, they are intended for research and prototyping purposes.

For detailed security analysis and cryptographic foundations, see SECURITY.md.

For production quantum-resistant cryptography, consult with qualified cryptographic experts and use established, audited implementations that have undergone formal security analysis.

🤝 Contributing

We welcome contributions for research improvements, documentation enhancements, and bug fixes. Please read our Contributing Guidelines before submitting pull requests.

💬 Support

For research support, questions about implementation concepts, or consulting inquiries:

• Issues: GitHub Issues
• Consulting: Contact NeaByteLab

Note: This library is designed for research purposes and prototyping. For production quantum-resistant cryptography implementations, please consult with qualified cryptographic experts.