Ontology highlight
ABSTRACT:
SUBMITTER: Bentsen G
PROVIDER: S-EPMC6452717 | biostudies-literature | 2019 Apr
REPOSITORIES: biostudies-literature
Bentsen Gregory G Gu Yingfei Y Lucas Andrew A
Proceedings of the National Academy of Sciences of the United States of America 20190321 14
Given a quantum many-body system with few-body interactions, how rapidly can quantum information be hidden during time evolution? The fast-scrambling conjecture is that the time to thoroughly mix information among N degrees of freedom grows at least logarithmically in N. We derive this inequality for generic quantum systems at infinite temperature, bounding the scrambling time by a finite decay time of local quantum correlations at late times. Using Lieb-Robinson bounds, generalized Sachdev-Ye-K ...[more]