Three-Photon Quantum Interferometry & Phase Estimation Workbench

Quantum State & Interferometer Controls

Active Quantum Mode 3-Photon (3θ)

Interferometer Phase Shift (θ) 0.25π (0.79 rad)

Detector Transmission / Loss (η) 95% (Loss 5%)

Target Precision (Δθ rad) ±0.020 rad

Presets

Three-photon interference sharpens the coincidence fringe oscillation to 3θ frequency, providing Quantum Fisher Information F_Q = 9 and slashing required detection repetitions by 20.0% vs 2-photon states.

Quantum Fisher Info (F_Q) 9.00 Heisenberg Scaling N²

Fringe Super-Resolution 3.0× Oscillation freq: 3θ

Cramér-Rao Bound (1-Shot) 0.333 rad Δθ ≥ 1 / √F_Q

Repetition Reduction vs 2-Photon -20.0% Ratio: 0.80× shots

Coincidence Fringes vs Phase θ 1θ (gray), 2θ (purple), 3θ (cyan)

Monte Carlo Phase Estimation Convergence Ready

Empirical Detection Trials Comparison (Target Δθ: 0.020 rad) Verified: 3-photon cuts shots by 20.0%

Quantum Regime	Photon State	Fisher Info (F_Q)	1-Shot CRB	Calculated Min Shots	Simulated Shots (Avg)	Repetition Delta