Observation of gravity-like signatures in holographic codes on a quantum computer

• URL: http://arxiv.org/abs/2607.12047v1
• Date: Mon, 13 Jul 2026 18:03:31 GMT
• Title: Observation of gravity-like signatures in holographic codes on a quantum computer
• Abstract summary: Anti-de Sitter/Conformal Field Theory provides a valuable theoretical framework for unification of quantum mechanics and general relativity.<n>We present and measure a code construction whose entropic behavior is reminiscent of a highly quantum wormhole.<n>Our experiments illustrate how quantum computers can serve as testbeds for modeling the emergence of spacetime.
• Score: 7.400104060653817
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The unification of quantum mechanics and general relativity remains one of the major open problems of theoretical physics. The Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence provides a valuable theoretical framework for this effort via a holographic duality between a theory of quantum gravity in asymptotically AdS spacetime and a conformal quantum field theory on the lower-dimensional boundary. Here, we implement a toy model of this duality called the HaPPY code, a quantum error-correcting code in the form of a tensor network with hyperbolic entanglement patterns, on a trapped-ion quantum computer. We present the first experimental confirmation of the Faulkner-Lewkowycz-Maldacena formula in this model - a key test of the holographic correspondence. We then enrich it with non-stabilizerness, or magic, and observe entropic precursors expected of emergent gravity. Finally, we present and measure a code construction whose entropic behavior is reminiscent of a highly quantum wormhole. Our experiments illustrate how quantum computers can serve as testbeds for modeling the emergence of spacetime.

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