Interferometer Mesh Optimizer

Optimize phase shifter settings for Clements or Reck mesh architectures to minimize nullifier variance

Mesh Optimization Problem

The optimizer minimizes the cost function over all mesh phases {φ, θ}:

J = (1/N) Σj ⟨δj²⟩

Minimize average nullifier variance across all modes

Mesh Architectures:

  • Clements: Symmetric, ⌈N/2⌉ layers, internal phases
  • Reck: Triangular, N(N-1)/2 elements, external phases

Optimizer Configuration

Mesh Properties

Modes 7
Beam Splitters 21
Phase Shifters 42
Layers 7
Total Parameters 42

Optimization Results

Initial Cost J₀
1.250
Optimized Cost J*
0.248
Improvement
80.2%
Iterations
127

Optimization Convergence

Mesh Phase Configuration

Phase Distribution

Mode Variances