Quantum Teleportation Transfers States via Entanglement and Classical Bits, Not Matter — E8 Intelligence Research

FINDING: Quantum teleportation transfers a qubit's quantum state via entanglement + 2 classical bits, not physical matter — no FTL, no cloning | MATH: Protocol: prepare Bell pair |Φ⁺⟩ = (|00⟩+|11⟩)/√2; Alice performs CNOT + H on her 2 qubits → 4 Bell-basis measurement outcomes {|Φ±⟩,|Ψ±⟩} each with probability 1/4 = 0.25; Bob applies one of {I, X, Z, ZX} conditioned on 2 classical bits (2² = 4 outcomes); fidelity F = |⟨ψ|ψ'⟩|² = 1 for ideal channel; no-cloning theorem forbids F > 1 duplication; entanglement entropy S = log₂(2) = 1 ebit per Bell pair | CONNECTION: Bell states form an orthonormal basis of C⁴ ≅ C²⊗C² — the 4 maximally entangled states are the vertices of a tetrahedron inscribed in the Bloch-hyper-sphere (Bell polytope); the 1/4 probabilities are uniform, reflecting the 4-fold symmetry of the Pauli group {I,X,Y,Z} (quaternion group Q₈); √2 normalization = diagonal of unit square, linking to the silver ratio family; the 2-bit classical channel encodes base-4 = base-2² infor Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com