Quantum Teleportation: Entanglement, Bell Projection, and Pauli Correction — E8 Intelligence Research

FINDING: Quantum teleportation is a protocol for transferring an unknown quantum state via shared entanglement and classical communication — not physical matter transport. The core math is the Bell basis projection and the Pauli correction operators. MATH: - State to teleport: \(|ψ = α|0 + β|1\), with \(|α|^2 + |β|^2 = 1\). - Shared entangled pair: Bell state \(|Φ^+ = {1}{√2}(|00 + |11)\). - Total 3-qubit state: \(|ψ ⊗ |Φ^+\). - Alice performs Bell measurement — projecting onto one of 4 Bell states: \(|Φ^± = {1}{√2}(|00 ± |11)\), \(|Ψ^± = {1}{√2}(|01 ± |10)\). - Outcome determines Pauli correction on Bob's qubit: \(I, X, Z, XZ\) (identity, bit-flip, phase-flip, both). - No-cloning theorem: the original state is destroyed — information is transferred, not copied. - Classical communicati Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com