%0 Journal Article %D 2019 %T Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes %A Adam R. Brown %A Hrant Gharibyan %A Stefan Leichenauer %A Henry W. Lin %A Sepehr Nezami %A Grant Salton %A Leonard Susskind %A Brian Swingle %A Michael Walter %X

With the long-term goal of studying quantum gravity in the lab, we propose holographic teleportation protocols that can be readily executed in table-top experiments. These protocols exhibit similar behavior to that seen in recent traversable wormhole constructions: information that is scrambled into one half of an entangled system will, following a weak coupling between the two halves, unscramble into the other half. We introduce the concept of "teleportation by size" to capture how the physics of operator-size growth naturally leads to information transmission. The transmission of a signal through a semi-classical holographic wormhole corresponds to a rather special property of the operator-size distribution we call "size winding". For more general setups (which may not have a clean emergent geometry), we argue that imperfect size winding is a generalization of the traversable wormhole phenomenon. For example, a form of signalling continues to function at high temperature and at large times for generic chaotic systems, even though it does not correspond to a signal going through a geometrical wormhole, but rather to an interference effect involving macroscopically different emergent geometries. Finally, we outline implementations feasible with current technology in two experimental platforms: Rydberg atom arrays and trapped ions. 

%8 2019/11/14 %G eng %U https://arxiv.org/abs/1911.06314