Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes, Part II

Adam R. Brown; Brian Swingle; Grant Salton; Henry W. Lin; Hrant Gharibyan; Leonard Susskind; Michael Walter; Sepehr Nezami; Stefan Leichenauer

Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes, Part II

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arxiv 2102.01064 v1 pith:FL3RISG5 submitted 2021-02-01 quant-ph hep-th

Sepehr Nezami , Henry W. Lin , Adam R. Brown , Hrant Gharibyan , Stefan Leichenauer , Grant Salton , Leonard Susskind , Brian Swingle

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Michael Walter

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classification quant-phhep-th

keywords quantumsizebulkgravitysize-windingteleportationdevicesproperty

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In [1] we discussed how quantum gravity may be simulated using quantum devices and gave a specific proposal -- teleportation by size and the phenomenon of size-winding. Here we elaborate on what it means to do 'Quantum Gravity in the Lab' and how size-winding connects to bulk gravitational physics and traversable wormholes. Perfect size-winding is a remarkable, fine-grained property of the size wavefunction of an operator; we show from a bulk calculation that this property must hold for quantum systems with a nearly-AdS_2 bulk. We then examine in detail teleportation by size in three systems: the Sachdev-Ye-Kitaev model, random matrices, and spin chains, and discuss prospects for realizing these phenomena in near-term quantum devices.

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