Magic Enriched Holographic Codes

We show that injecting magic into holographic stabilizer codes, previously not associated with emergent gravitational effects, can transform them into approximate quantum error-correcting codes that exhibit behaviors qualitatively consistent with the quantum extremal surface formula. Analytically and numerically, we demonstrate this in toy models representing both single-sided AdS and two-sided AdS connected by a wormhole, consistent with expectations from holography. In the simulations, magic is injected in the form of coherent noise and over-rotations native to ion trap quantum computers, making direct experimental tests feasible on these platforms. We further generalize the framework to subsystem quantum error-correcting codes, providing a systematic approach to studying the interplay between magic, entanglement, and emergent geometry. To quantify these effects, we present entropy-based noise estimates using quantum state tomography, showing that the phenomena can be probed on current NISQ devices. Our results open a new pathway for experimentally probing quantum gravity with near-term quantum technology.