Quantum Teleportation: Entanglement and Classical Bits, Not Matter — E8 Intelligence Research

FINDING: Quantum teleportation is a protocol for transferring an unknown quantum state via shared entanglement and classical communication — not a transport of matter/energy. | MATH: Bell basis: {|Φ⁺⟩, |Φ⁻⟩, |Ψ⁺⟩, |Ψ⁻⟩} = (1/√2)(|00⟩ ± |11⟩), (1/√2)(|01⟩ ± |10⟩). Teleportation circuit: CNOT + Hadamard + 2 classical bits → Pauli correction {I, X, Z, XZ}. State transfer fidelity = 1 (ideal), requires 2 ebits + 2 cbits per qubit. | CONNECTION: Bell states form an orthonormal basis in ℂ²⊗ℂ² — a 4D root system isomorphic to D₂ (dihedral symmetry, order 8). The CNOT+Hadamard sequence corresponds to a Clifford group element, whose action on the Pauli group preserves the symplectic structure over GF(2)² — a lattice symmetry (square lattice, Z²). The 2-bit classical correction maps to the four Pauli operators, which are the vertices of a tetrahedron in the Bloch sphere — a crystallographic point group (T_d, order 24). The ratio 1/√2 appears in all Bell states — this is the cosine of 45°, linkin Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com