Function normalizeAmplitudes

normalizeAmplitudes(
    values: Complex[],
    tolerance?: number,
    tolerant?: number,
): Complex[]
Normalizes an array of complex numbers to ensure they form valid quantum amplitudes. The normalized amplitudes will satisfy Σ|αᵢ|² = 1. Optionally skips normalization if the norm is below a threshold.
Parameters
- values: Complex[]
  Array of complex numbers to normalize
- tolerance: number = 1e-12
  Minimum norm threshold below which the vector is considered zero (default: 1e-12)
- Optionaltolerant: number
  Optional minimum norm threshold. If provided, normalization is skipped if norm <= threshold.
Returns Complex[]
Normalized amplitude array, or unchanged if below tolerant threshold

Throws
Error if input is zero vector (norm below tolerance and tolerant not provided)
- Defined in src/math/amplitude.ts:101