Entanglement detection with trace polynomials

作     者：Rico, Albert Huber, Felix 

作者机构：Faculty of Physics Astronomy and Applied Computer Science Institute of Theoretical Physics Jagiellonian University Kraków30-348 Poland 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2023年

核心收录：

主　　题：Polynomials 

摘      要：We provide a systematic method for nonlinear entanglement detection based on trace polynomial inequalities. In particular, this allows to employ multi-partite witnesses for the detection of bipartite states, and vice versa. We identify pairs of entangled states and witnesses for which linear detection fails, but for which nonlinear detection succeeds. With the trace polynomial formulation a great variety of witnesses arise from immanant inequalities, which can be implemented in the laboratory through the randomized measurements toolbox. Copyright © 2023, The Authors. All rights reserved.