Algorithmic Quantum Teleportation and the No-Cloning Theorem via ER=EPR Topological Routing

The current Paper 71 benchmark does not claim that a full quantum optics laboratory or complete quantum information theory has been derived from first principles inside QGEFT. It does show that the QGEFT vacuum supports a concrete, reproducible topological teleportation channel via the ER=EPR mechanism. The `diamond` motif provides the critical "Goldilocks" balance between rarity (0 background at target) and fragility (collapses at sweep 5 under measurement stress). In both T=0.25 and T=0.35 benchmarks, the Metropolis engine deterministically routes the geometric information through the wormhole: the source motif at A collapses at sweep 5 ($\Delta E_A = 15.206 \to 13.571$), and exactly one sweep later, the identical diamond motif reconstructs at remote target C. The No-Cloning Theorem emerges automatically as a thermodynamic constraint—maintaining two copies is energetically disfavored.