Measurement-induced entanglement between quantum spin chains
APA
(2024). Measurement-induced entanglement between quantum spin chains. SciVideos. https://youtu.be/o9Tgs5QriyY
MLA
Measurement-induced entanglement between quantum spin chains. SciVideos, Nov. 28, 2024, https://youtu.be/o9Tgs5QriyY
BibTex
@misc{ scivideos_ICTS:30355, doi = {}, url = {https://youtu.be/o9Tgs5QriyY}, author = {}, keywords = {}, language = {en}, title = {Measurement-induced entanglement between quantum spin chains}, publisher = {}, year = {2024}, month = {nov}, note = {ICTS:30355 see, \url{https://scivideos.org/icts-tifr/30355}} }
Abstract
We discuss the entanglement between two critical spin chains induced by the Bell-state measurements, when each chain was independently in the ground state before the measurement. This corresponds to a many-body version of “entanglement swapping”. We employ a boundary conformal field theory (CFT) approach and describe the measurements as conformal boundary conditions in the replicated field theory. We show that the swapped entanglement exhibits a logarithmic scaling, whose coefficient takes a universal value determined by the scaling dimension of the boundary condition changing operator. We apply our framework to the critical spin-1/2 XXZ chain and determine the universal coefficient by the boundary CFT analysis, which is verified by a numerical calculation.
This talk is based on M. Hoshino, M. O., and Y. Ashida, arXiv:2406.12377