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Comment on "Traversable wormhole dynamics on a quantum processor"
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A recent article [Nature 612, 51-55 (2022)] claims to observe traversable wormhole dynamics in an experiment. This claim is based upon performing a teleportation protocol using a Hamiltonian that consists of seven Majorana fermions with five fully-commuting terms. The Hamiltonian is generated via a machine-learning procedure designed to replicate the teleportation behavior of the Sachdev-Ye-Kitaev (SYK) model. The authors claim that the learned Hamiltonian reproduces gravitational dynamics of the SYK model and demonstrates gravitational teleportation through an emergent wormhole. We find: (i) in contrast to these claims, the learned Hamiltonian does not exhibit thermalization; (ii) the teleportation signal only resembles the SYK model for operators that were used in the machine-learning training; (iii) the observed perfect size winding is in fact a generic feature of small-size, fully-commuting models, and does not appear to persist in larger-size fully-commuting models or in non-commuting models at equivalent system sizes
Forward citations
Cited by 4 Pith papers
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Krylov Winding and Emergent Coherence in Operator Growth Dynamics
Krylov winding emerges as a generic feature of quantum chaotic systems from the universal operator growth bound, producing size winding when a low-rank Krylov-to-size mapping exists and the chaos bound saturates.
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No chaos required: traversable wormhole signals survive 98% coupling deletion
The traversable wormhole transmission signal in coupled SYK models persists with less than 1.1% variation after 98% random coupling deletion, showing it is controlled by inter-system coupling alone.
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Traversable wormhole with double trace deformations via gravitational shear and sound channels
Double trace deformations create traversable wormholes in AdS5 black branes via gravitational shear and sound channel perturbations that violate ANEC in the hydrodynamic limit.
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Information scrambling in all-to-all interacting models
Numerical study of the SYK-q spin model finds rapid entanglement growth to Haar-random saturation, a universal Rényi-1/2 mutual information vs negativity relation at minimal q, and Page-curve behavior in negativity un...
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