Quantum Teleportation: Transferring Qubit States via Entanglement and Classical Bits — E8 Intelligence Research

FINDING: Quantum teleportation transfers a qubit's *state* (not matter) via a shared entangled pair plus 2 classical bits — the state is destroyed at source and reconstructed at destination. | MATH: Protocol: prepare Bell pair |Φ⁺⟩ = (|00⟩+|11⟩)/√2; Alice performs CNOT + H on her two qubits, measures → 2 classical bits (00,01,10,11); Bob applies I, X, Z, or XZ (Pauli corrections). General state |ψ⟩ = α|0⟩ + β|1⟩ with |α|²+|β|² = 1. No-cloning: ⟨ψ|ψ⟩ preserved, original destroyed. Fidelity = 1 for ideal channel. | CONNECTION: Bell basis is a maximally entangled orthonormal basis of C²⊗C²; amplitudes 1/√2 mirror the 0.7071 normalization recurring in SU(2) spinors and the 45° projection in the 0.382/0.618 family (1/√2 ≈ 0.7071 sits between 0.618 and 0.786). | DEPTH: 7 FINDING: Oxford/Google-class experiments demonstrate teleportation over logical qubits and modular/optical architectures — scaling, not new physics. | MATH: Entanglement entropy S = -Tr(ρ_A log ρ_A); for Bell state S = ln 2 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com