Quantum Teleportation: Entanglement, Two Bits, Perfect Fidelity — E8 Intelligence Research

FINDING: Quantum teleportation is a protocol for transferring an unknown quantum state via shared entanglement and classical communication — not instantaneous matter transport. | MATH: Bell state basis: |Φ⁺⟩ = (|00⟩ + |11⟩)/√2; teleportation requires 2 classical bits + 1 ebit (maximally entangled pair); state transfer fidelity F = 1 for ideal case; measurement in Bell basis yields 4 equiprobable outcomes (prob 1/4 each); Pauli corrections {I, X, Z, XZ} applied based on 2-bit classical message. | CONNECTION: The 4 Bell states form an orthonormal basis in ℂ²⊗ℂ² — isomorphic to the vertices of a tetrahedron (tetrahedral symmetry, 4-fold rotational symmetry in SO(3)); the √2 normalization is the same factor appearing in 45° rotations (π/4) — related to the ratio 1/√2 ≈ 0.7071, which is the geometric mean of 0.5 and 1.0, and appears in crystallographic root system A₁ (the only rank-1 simple Lie algebra). The 2 classical bits ↔ 4 outcomes ↔ 4 Pauli operators ↔ tetrahedral group T_d (order 24 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com