Black-Hole-Enhanced Quantum Entanglement and Teleportation: A Semiclassical and Control-Theoretic Approach

This research explores the intersection of quantum mechanics, general relativity, and quantum information theory, offering new insights into the role of back-reaction in quantum entanglement near black hole horizons. By introducing a novel framework combining fractal-enhanced Bell correlations, semiclassical back-reaction, and real-time feedback control, we propose a protocol for maintaining entanglement stability and enabling quantum teleportation across black hole event horizons. We develop an analytical model to compute the back-reaction multiplier Gback(r)G_{\rm back}(r)Gback(r) for conformally coupled scalar fields in Schwarzschild spacetime. By applying this model to the standard CHSH parameter, we quantify the enhanced correlations that arise due to the curvature near black hole horizons. Through comparison with numerical entanglement-harvesting results from Unruh–DeWitt detectors, we validate the framework’s accuracy and demonstrate its relevance to the information paradox and Page curves. Furthermore, we incorporate real-time feedback control to stabilize the quantum channel, demonstrating how the feedback term can maintain Bell violations above the classical limit S=2S = 2S=2 for extended periods. This work lays the foundation for exploring quantum information transfer through black hole analogs and suggests potential experimental tests in laboratory systems such as optical fibers, Bose–Einstein condensates, and superconducting circuits.