Towards Quantum Gravity in the Lab on Quantum Processors

Illya Shapoval1, Vincent Paul Su2, Wibe de Jong1, Miro Urbanek1, and Brian Swingle3

1Lawrence Berkeley National Laboratory, 1 Cyclotron Rd, CA 94720, USA
2Center for Theoretical Physics and Department of Physics, University of California, Berkeley, CA 94720, U.S.A.
3Brandeis University, Waltham, MA 02453, USA

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The holographic principle and its realization in the AdS/CFT correspondence led to unexpected connections between general relativity and quantum information. This set the stage for studying aspects of quantum gravity models, which are otherwise difficult to access, in table-top quantum-computational experiments. Recent works have designed a special teleportation protocol that realizes a surprising communication phenomenon most naturally explained by the physics of a traversable wormhole. In this work, we have carried out quantum experiments based on this protocol on state-of-the-art quantum computers. The target quantum processing units (QPUs) included the Quantinuum's trapped-ion System Model H1-1 and five IBM superconducting QPUs of various architectures, with public and premium user access. We report the observed teleportation signals from these QPUs with the best one reaching 80% of theoretical predictions. We outline the experimental challenges we have faced in the course of implementation, as well as the new theoretical insights into quantum dynamics the work has led to. We also developed QGLab – an open-source end-to-end software solution that facilitates conducting the wormhole-inspired teleportation experiments on state-of-the-art and emergent generations of QPUs supported by the $Qiskit$ and $tket$ SDKs. We consider our study and deliverables as an early practical step towards the realization of more complex experiments for the indirect probing of quantum gravity in the lab.

A recent teleportation protocol discovered in the context of two-sided black holes was found to work for general chaotic quantum mechanical systems. Here we present the findings of implementing such a protocol for a certain kicked quantum ising model. We were able to achieve up to 80% fidelity of the simulated results with actual quantum hardware which we accessed via the cloud. We show that this system with just a handful of qubits can be used to teleport a classical bit's worth of information.

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