Detecting Bell Correlations in Multipartite Non-Gaussian Spin States

被引：7

作者：

Guo, Jiajie ^{[1
]}

Tura, Jordi ^{[2
,3
]}

He, Qiongyi ^{[1
,4
,5
,6
]}

Fadel, Matteo ^{[7
]}

机构：

[1] Peking Univ, Frontiers Sci Ctr Nanooptoelectron, State Key Lab Mesoscop Phys, Sch Phys, Beijing 100871, Peoples R China

[2] aQaL Applied Quantum Algorithms Leiden, Leiden, Netherlands

[3] Leiden Univ, Inst Lorentz, POB 9506, NL-2300 RA Leiden, Netherlands

[4] Shanxi Univ, Collaborat Innovat Ctr Extreme Opt, Taiyuan 030006, Shanxi, Peoples R China

[5] Peking Univ, Yangtze Delta Inst Optoelect, Nantong 226010, Jiangsu, Peoples R China

[6] Hefei Natl Lab, Hefei 230088, Peoples R China

[7] Swiss Fed Inst Technol, Dept Phys, CH-8093 Zurich, Switzerland

来源：

PHYSICAL REVIEW LETTERS | 2023年 / 131卷 / 07期

基金：

中国国家自然科学基金; 北京市自然科学基金; 欧洲研究理事会;

关键词：

NONLOCALITY;

D O I：

10.1103/PhysRevLett.131.070201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We expand the toolbox for studying Bell correlations in multipartite systems by introducing permuta-tionally invariant Bell inequalities (PIBIs) involving few-body correlators. First, we present around twenty families of PIBIs with up to three-or four-body correlators, that are valid for an arbitrary number of particles. Compared to known inequalities, these show higher noise robustness, or the capability to detect Bell correlations in highly non-Gaussian spin states. We then focus on finding PIBIs that are of practical experimental implementation, in the sense that the associated operators require collective spin measure-ments along only a few directions. To this end, we formulate this search problem as a semidefinite program that embeds the constraints required to look for PIBIs of the desired form.

引用

页数：6