Quantum Teleportation: Entanglement Swapping, Bell Measurements, and Fidelity Metrics — E8 Intelligence Research

FINDING: Quantum teleportation relies on entanglement swapping and Bell-state measurements, not faster-than-light transport; fidelity and success probability are key metrics. | MATH: Bell state fidelity \( F = \langle \psi | \rho_{\text{out}} | \psi \rangle \); success probability \( P_{\text{success}} = 1/4 \) per Bell measurement (for qubits); entanglement swapping uses CNOT + Hadamard gates. | CONNECTION: No direct geometric ratios (0.382, 0.618, etc.) or base-60 links; however, Bell states form a 4-dimensional orthonormal basis with symmetry group \( S_4 \) (tetrahedral symmetry), and the CNOT gate corresponds to a 4x4 matrix with eigenvalues ±1, linking to the \( D_4 \) root system (crystallographic symmetry of the 4D hypercube). | DEPTH: 6 — mathematically sound but standard quantum information; no new constants or harmonic ratios. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com