02203nas a2200205 4500008004100000245008000041210006900121260001500190520157300205100002001778700002101798700002401819700001901843700001901862700001801881700002201899700001901921700002001940856003701960 2019 eng d00aQuantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes0 aQuantum Gravity in the Lab Teleportation by Size and Traversable c2019/11/143 a
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.
1 aBrown, Adam, R.1 aGharibyan, Hrant1 aLeichenauer, Stefan1 aLin, Henry, W.1 aNezami, Sepehr1 aSalton, Grant1 aSusskind, Leonard1 aSwingle, Brian1 aWalter, Michael uhttps://arxiv.org/abs/1911.06314