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

FINDING: Quantum teleportation transfers quantum *state* (information), not matter — no particle traverses the channel; only 2 classical bits + 1 pre-shared entangled pair reconstruct an arbitrary qubit at the receiver. | MATH: Protocol (Bennett et al. 1993): Alice holds unknown |ψ⟩ = α|0⟩ + β|1⟩, α,β ∈ ℂ, |α|²+|β|²=1. Shared Bell state |Φ⁺⟩ = (|00⟩+|11⟩)/√2. Total 3-qubit state rewritten in Bell basis; Alice measures her 2 qubits → 4 equiprobable outcomes (2 bits), each projecting Bob's qubit into a unitary image of |ψ⟩. Bob applies I, X, Z, or XZ (Pauli correction) → recovers |ψ⟩ exactly. Fidelity F=1 (ideal); no-cloning theorem forbids F>1 copy, so original is destroyed. Entanglement entropy S = 1 bit (maximally mixed marginals). | CONNECTION: The 4 Bell states form an orthonormal basis of ℂ²⊗ℂ² — a root-system / lattice structure: {I, X, Z, XZ} is the Klein four-group V₄ ≅ ℤ₂×ℤ₂, the Pauli group quotient. This is the smallest non-cyclic abelian group, isomorphic to the 4 vertices o Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com