{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"3becce1f55366b51c2885051674b1eced8f9f1bf7262c81d42fa91cd4c8e430a","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["2144fa88a7e977d12ba8bea2752c1ab6806724d729b97aa853b6671b57a30392","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"185c93babe1b2cb09f2b359aafb4b69bfc60756c3fc1630903efe9701eceef64","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"cm.syk-holography.wormhole-teleportation","kind":"well-posed","literature_status":"contested","n":"2","parents":[],"plain":"Two coupled copies of the SYK model can teleport a quantum bit in a way that mirrors a signal crossing a wormhole in a dual gravity theory. A 2022 experiment claimed this with a heavily simplified model, and critics argue that model is too small and too regular to support the claim.","posed_since":"2022","precise":"The protocol prepares two SYK systems in a thermofield-double state, inserts a qubit, applies a weak coupling of strength $\\mu$, and predicts a teleportation signal peaked near the scrambling time with operator size winding. Jafferis et al. (Nature 2022, doi:10.1038/s41586-022-05424-3) used a learned 7-qubit Hamiltonian; Kobrin, Schuster, Yao (arXiv:2302.07897) argued that it does not thermalize and matches SYK only for the training operators. Determine the minimal N and Hamiltonian class (dense or sparse SYK) for which the signal, its $\\mu$ dependence and size winding are distinguishable from generic small or commuting models. Answer: $N_{\\min}$ with explicit criteria, and whether present hardware reaches it.","problem_ref":"2144fa88a7e977d12ba8bea2752c1ab6806724d729b97aa853b6671b57a30392","references":"","settled_by":"Numerics of the protocol at increasing N locating where gravitational signatures separate from generic ones, followed by an experiment at that N.","status_note":"Claimed in 2022 and disputed in a 2023 comment by Kobrin, Schuster and Yao.","title":"Minimal system size for verifiable traversable-wormhole 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