Quantum Teleportation Over 1,400 km: State Transfer, Not Matter, via Entanglement — E8 Intelligence Research

FINDING: Quantum teleportation transmits state information (not matter) over 1,400 km via entanglement, with no classical speed limit violation; the "trick" is that the state is destroyed at source and recreated at destination, requiring classical communication (≤c) to complete. | MATH: Teleportation fidelity \(F = Tr(ρₒᵤₜρᵢₙ)\); for ideal Bell-state measurement, \(F=1\). Entanglement resource: Bell pair \(|Φ^+ = {1}{√2}(|00+|11)\). Total state after joint measurement: \(|ψᵢₙ ⊗ |Φ^+AB → ∑ᵢ₌₀^3 |Φ_iA ⊗ (σ_i |ψ)_B\), where \(σ_i ∈ \{I, σ_x, σ_y, σ_z\}\) (Pauli rotations). Classical bits required: 2 (log₂4). No equation for distance; 1,400 km is an experimental parameter (satellite link, Micius). | CONNECTION: The four Bell states form a basis isomorphic to the Klein four-group \(Z_2 × Z_2\), whose character Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com