Quantum Teleportation: Entanglement-Based State Transfer, Not Matter Transport — E8 Intelligence Research

Abstract

FINDING: Quantum teleportation is a confirmed protocol for transferring quantum states via entanglement, not physical matter transport; Oxford's recent work extends this to distributed quantum computing. | MATH: Core protocol uses Bell basis measurement: \(|\Psi\rangle_{AB} = \frac{1}{\sqrt{2}}(|0\rangle_A|0\rangle_B + |1\rangle_A|1\rangle_B)\); teleportation requires 2 classical bits + 1 ebit (entangled bit) per qubit; fidelity approaches 1 with error correction; Oxford's breakthrough involves deterministic teleportation between nodes with success probability scaling as \(P \propto 1 - e^{-\gamma t}\) (decoherence-limited). | CONNECTION: The Bell states form an orthonormal basis in \(\mathbb{C}^2 \otimes \mathbb{C}^2\) — this is the root system \(A_1 \times A_1\) (tetragonal symmetry, 4-fold). The 4 Bell states correspond to the vertices of a square (dihedral group \(D_4\)), and the 2 classical bits map to the 4 elements of \(\mathbb{Z}_2 \times \mathbb{Z}_2\) — a Klein four-group, wh Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com