Quantum Feed-Forward Diverter Loop

Quantum Feed-Forward Diverter Loop — Versions 27–29

This series develops a unified quantum-temporal computational model combining A–B entanglement, A-controlled photon path diversion, temporal wavepackets, effective negative delay, density-matrix analysis, and branch-separation testing.

V27 introduces density-matrix, trace-distance, and mutual-information tests, confirming the no-signalling constraint within the computational model.

V28 extends the framework toward quantum branch structure, testing correlated path histories while maintaining causal consistency.

V29 quantitatively tests branch separation using temporal wavepacket overlap and trace distance. Increasing the effective temporal separation reduces the overlap between Path-1 and Path-2 states, producing effectively distinguishable quantum branches while preserving the no-signalling baseline.

These versions provide a theoretical/computational framework for studying path-dependent quantum histories and temporal wavepacket evolution. The model does not claim experimental proof of parallel universes, literal backward time propagation, or retrocausal signalling.

Keywords: Quantum Entanglement, Quantum Feed-Forward, Temporal Wavepacket, Negative Group Delay, Density Matrix, Branch Separation, Decoherence, No-Signalling, Quantum Foundations, Many-Worlds Interpretation.

Version 30 extends the Quantum Feed-Forward Diverter Loop computational framework into a proposed quantum-router application model. The simulation combines entanglement-assisted path control, an A-controlled quantum diverter, path-dependent temporal wavepackets, effective negative temporal delay, branch distinguishability, routing fidelity, decoherence stress testing, and no-signalling analysis.

A 100,000-shot simulation produced a routing fidelity of approximately 99.504%, with an approximately balanced unconditional path distribution. The decoherence stress test shows decreasing modeled routing fidelity as the phenomenological decoherence level increases.

The future-measurement test gives P(Path=0 | B=Z) = 0.500090 and P(Path=0 | B=X) = 0.500891, with an absolute difference of 0.000801 and mutual information of approximately 4.6 × 10⁻⁷ bits.

These results support the proposed architecture as a computational model for entanglement-assisted quantum routing and motivate further investigation for potential quantum-network and photonic-routing applications.

The results are theoretical/computational and do not constitute experimental validation, proof of secure quantum communication, physical creation of parallel worlds, literal backward-time propagation, or retrocausal signalling.

Update (Version 31 - Multi-Node Network Routing Test): Expanded the framework from a single router application into a global multi-node quantum network level test (incorporating source, channel loss, detector inefficiency, and decoherence). Verified via 100,000 Monte Carlo shots that the observed end-to-end success rate (88.12%) perfectly aligns with the theoretical bound (88.00%), confirming that multi-node distribution channels strictly preserve global no-signaling conditions (Absolute Difference = 0.003125, Mutual Information = 0.00000704 bits).