FINDING: Quantum teleportation transfers quantum *state* (information), never matter — confirmed at 1,400 km Earth-to-space and via entanglement swapping; "teleportation" is a description of state reconstruction, not transport. MATH: - Protocol (Bennett et al. 1993): shared Bell pair |Φ⁺⟩ = (1/√2)(|00⟩ + |11⟩); sender performs Bell-basis measurement on unknown |ψ⟩ = α|0⟩ + β|1⟩; 2 classical bits sent; receiver applies one of {I, X, Z, XZ} to recover |ψ⟩. - Fidelity F = |⟨ψ|ψ_recovered⟩|² → 1 in ideal case; experimentally F ≈ 0.8–0.9 (record ~0.9+ over 1,400 km, Micius satellite, 2017). - No-cloning bound: F ≤ 5/6 ≈ 0.833 for optimal *classical* cloning — exceeding this certifies genuine quantum channel. - Entanglement entropy S = −Tr(ρ log ρ); Bell state S = ln 2 (maximal). - Classical channel capacity: 2 bits required per qubit teleported (Holevo bound). CONNECTION: - Bell-state amplitudes 1/√2 encode the ratio 1:√2 ≈ 0.707 — adjacent to 0.786 (√(φ−1)/... family) but not identical Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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