The Caltech-Google Experiment: Quantum Computation and Quantum Gravity

Abstract

We analyze the well-known Google–Caltech experiment in which the implementation of a traversable wormhole on a quantum computer was claimed. While the experiment constitutes a remarkable technological and conceptual achievement, we argue that, from a strict physical standpoint, what was realized is not a geometric wormhole in spacetime. Rather, the experiment implements a simplified effective Hamiltonian inspired by the Sachdev–Ye–Kitaev (SYK) model. This Hamiltonian was obtained through the training of artificial neural networks, yielding a tractable approximation suitable for execution on the quantum hardware of Google, in collaboration with California Institute of Technology. Within the framework of the gauge–gravity conjecture, this simplified SYK-like model admits a dual gravitational interpretation. In this dictionary, the observed quantum dynamics—specifically, quantum teleportation—can be reinterpreted as the traversability of a wormhole in an effective AdS_2 description. We emphasize three key points: first, the full SYK model is far too complex to be implemented directly, and the experiment relies on an AI-assisted effective Hamiltonian capturing only the relevant low-energy features; second, what is directly observed on the quantum computer is quantum teleportation; third, the notion of a traversable wormhole is not accessed directly as a gravitational spacetime geometry, but emerges only as a dual, interpretative description, with the gravitational theory being probed indirectly through quantum mechanics within the gauge–gravity correspondence.