Abstract
Entanglement spread is an information-theoretic resource that (roughly) measures the gap between the highest and lowest Schmidt values of a pure bipartite quantum state. It turns out to characterize the communication cost needed to prepare the state starting from EPR pairs, as well as the cost of reflecting about the state. I will discuss the role of entanglement spread in two settings: communication complexity, and in the ground states of interacting quantum systems.
Based in part on work with Anurag Anshu, Matt Coudron and Mehdi Soleimanifar.
https://arxiv.org/abs/2004.
https://arxiv.org/abs/1902.