Quantum teleportation transfers state, not matter, via two classical bits and entanglement. — E8 Intelligence Research

FINDING: Quantum teleportation transfers quantum *state* (information), not matter — no particle traverses the channel; only a classical 2-bit message plus pre-shared entanglement is consumed. | MATH: Protocol (Bennett et al. 1993): Alice holds unknown state |ψ⟩ = α|0⟩ + β|1⟩ (|α|²+|β|²=1) and one qubit of a Bell pair |Φ⁺⟩ = (|00⟩+|11⟩)/√2. Alice performs Bell-basis measurement → 4 equiprobable outcomes (2 bits). Bob applies one of {I, X, Z, XZ} (Pauli group, order 4) conditioned on those bits → recovers |ψ⟩ exactly. No-cloning: fidelity F=1 for the state, but the original is destroyed (measurement collapses it). Entanglement entropy S = 1 bit (maximally mixed reduced state). | CONNECTION: The 4 Bell states form an orthonormal basis of C²⊗C² — isomorphic to the Pauli group {I,X,Y,Z} and to the Klein four-group V₄ (Z₂×Z₂). The 2-bit classical channel = log₂(4) = 2, matching the 4-fold degeneracy. Bell-basis structure is the tensor-product realization of the Z₂×Z₂ lattice; the √2 normali Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com