We use techniques for lower bounds on communication to derive necessary conditions in terms of detector efficiency or amount of super-luminal communication for being able to reproduce with classical local hidden-variable theories the quantum correlations occurring in EPR-type experiments in the presence of noise. We apply our method to an example involving n parties sharing a GHZ-type state on which they carry out measurements and show that for local-hidden variable theories, the amount of super-luminal classical communication c and the detector efficiency eta are constrained by eta 2^(-c/n) = O(n^(-1/6)) even for constant general error probability epsilon = O(1).
Multipartite steering verification with imprecise measurements
Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology（教育部能源化工过程智能制造重点实验室，华东理工大学）；College of Electronics and Information Engineering, Tongji University（同济大学电子与信息工程学院）；Shanghai Research Institute for Intelligent Autonomous Systems, Tongji University（同济大学上海智能无人系统研究院）；Shanghai Institute of Intelligent Science and Technology, Tongji University（同济大学上海智能科学与技术研究院）
Experimental Multipartite Entanglement Detection With Minimal-Size Correlations
East China Normal University（华东师范大学）；Hefei National Laboratory（合肥国家实验室）；The University of Hong Kong（香港大学）；Perimeter Institute for Theoretical Physics（理论物理前沿研究所）；Chongqing Institute of East China Normal University（华东师范大学重庆研究院）；Shanxi University（山西大学）
Multipartite quantum resource distillation through local measurement programs
School of Physics, Hangzhou Normal University（杭州师范大学物理学院）；CAS Key Laboratory of Quantum Information, University of Science and Technology of China（中国科学院量子信息重点实验室，中国科学技术大学）；Anhui Province Key Laboratory of Quantum Network, University of Science and Technology of China（安徽省量子通信与量子计算重点实验室，中国科学技术大学）；CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China（中国科学院量子信息与量子物理学前沿卓越创新中心，中国科学技术大学）；Hefei National Laboratory, University of Science and Technology of China（合肥国家实验室，中国科学技术大学）
Quantum Advantage in Distributed Sensing with Noisy Quantum Networks
Pritzker School of Molecular Engineering, University of Chicago（芝加哥大学普里茨克分子工程学院）；Mathematics and Computer Science Division, Argonne National Laboratory（阿贡国家实验室数学与计算机科学部）；Data Science and Learning Division, Argonne National Laboratory（阿贡国家实验室数据科学与学习部）；Center for Nanoscale Materials, Argonne National Laboratory（阿贡国家实验室纳米材料中心）
