2019/01/09 by David Berenstein, Berenstein, David, Daniel Teixeira +1
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1901.02944
4 pages, 2 figures. v2: substantial alterations made: Improved the discussions and proofs substantially, figures added
openalex publication_date 2019/01/09 · openalex created_date 2019/01/25 · arxiv created 2019/10/29 · arxiv updated 2019/10/30 · openalex updated_date 2026/07/28
We describe conditions for generating entanglement between two regions at the optimal rate in a class of one-dimensional quantum circuits with Floquet dynamics. The optimal value follows from subadditivity and Araki-Lieb inequalities. A quantum circuit composed of parallel SWAP gates that act periodically on entangled pairs is a simple system that saturates the bound. We show that any other system that entangles at this maximal rate must act as a generalized SWAP gate dynamics on the relevant states of the Hilbert space. We further discuss some characterizations of states according to entropy generation. States with multipartite entanglement generically fail to entangle efficiently as time evolves. This suggests that chaos, which tend to produce such entanglement patterns, is expected to work against the process of spreading information efficiently. It also provides a simple intuition for why the entangling tsunami velocity must be slower than the Lieb-Robinson velocity.