Testing Tolerance Framework

This section is under development. Content will be migrated from CIP-0004 documentation.

The qig test suite uses scientifically-derived tolerance categories for numerical validation.

Tolerance Categories

Category A: Machine Precision Operations (≤ 1e-14): Pure algebraic operations with minimal error accumulation
Category B: Quantum State Properties (≤ 1e-12): Fundamental quantum constraints (unit trace, hermiticity)
Category C: Entanglement & Information Metrics (≤ 1e-10): Information-theoretic quantities sensitive to eigenvalue ratios
Category D: Analytical Derivatives (≤ 1e-8): Error propagation in quantum Fisher information metric
Category E: Numerical Integration (≤ 1e-6): ODE solver convergence and long-time stability
Category F: Physical Validation (≤ 1e-4): Statistical significance for physical claims

For complete documentation, see: