Long-Range Interactions Accelerate Fast State Transfer and Entanglement Renormalization

How fast can entanglement be spread between two distant points? It depends on the strength and range of the interaction. For short-range systems, the time to generate an entangled state between two points will be linear in the distance between them. For long-range interacting systems, we can usually do better, but how much better is an open question. In this talk, I will present a protocol that achieves an exponential speed-up in the rate of entanglement generation and discuss how this can be applied to a circuit described by a MERA (multiscale entanglement renormalization ansatz). I will also explain how this protocol might be realized in a real system.
 

 
Authors: Zachary Eldredge, Zhe-Xuan Gong, Jeremy T. Young, Ali Hamed Moosavian, Michael Foss-Feig, Alexey V. Gorshkov