Quantum Teleportation and Energy Transfer: Limits and Demonstrations — E8 Intelligence Research

FINDING: Quantum teleportation transmits state (not matter) over 1,400 km; energy teleportation demonstrated on superconducting hardware; no classical information moves faster than light. | MATH: Teleportation fidelity \(F = \langle\psi|\rho_{\text{out}}|\psi\rangle\) (Bell-state measurement, two classical bits per qubit); energy teleportation uses local operations and classical communication (LOCC) with conditional energy extraction \(\Delta E = -\frac{1}{\beta}\ln(\text{Tr}[\rho e^{-\beta H}])\) (from arXiv:2301.02666v5); entanglement entropy \(S = -\text{Tr}[\rho \ln \rho]\); no equation for distance scaling beyond channel loss \(\eta \propto e^{-\alpha L}\). | CONNECTION: None intrinsic — teleportation is a discrete operation (Bell basis, 4 outcomes) with no continuous ratio; however, the two classical bits per qubit ratio (2:1) echoes binary/ternary symmetry, and the Bell basis is a 4-element group isomorphic to \(\mathbb{Z}_2 \times \mathbb{Z}_2\), a crystallographic point group Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com