Demonstration of monogamy relations for Einstein-Podolsky-Rosen steering in Gaussian cluster states

Deng, Xiaowei; Xiang, Yu; Tian, Caixing; Adesso, Gerardo; He, Qiongyi; Gong, Qihuang; Su, Xiaolong; Xie, Changde; Peng, Kunchi

Abstract

Understanding how quantum resources can be quantified and distributed over many parties has profound applications in quantum communication. As one of the most intriguing features of quantum mechanics, Einstein-Podolsky-Rosen (EPR) steering is a useful resource for secure quantum networks. By reconstructing the covariance matrix of a continuous variable four-mode square Gaussian cluster state subject to asymmetric loss, we quantify the amount of bipartite steering with a variable number of modes per party, and verify recently introduced monogamy relations for Gaussian steerability, which establish quantitative constraints on the security of information shared among different parties. We observe a very rich structure for the steering distribution, and demonstrate one-way EPR steering of the cluster state under Gaussian measurements, as well as one-to-multimode steering. Our experiment paves the way for exploiting EPR steering in Gaussian cluster states as a valuable resource for multiparty quantum information tasks.

Citation

Deng, X., Xiang, Y., Tian, C., Adesso, G., He, Q., Gong, Q., …Peng, K. (2017). Demonstration of monogamy relations for Einstein-Podolsky-Rosen steering in Gaussian cluster states. Physical Review Letters, 118(23), https://doi.org/10.1103/PhysRevLett.118.230501

• Journal Article Type: Article
• Acceptance Date: May 5, 2017
• Publication Date: Jun 7, 2017
• Deposit Date: Jun 14, 2017
• Publicly Available Date: Jun 14, 2017
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 118
• Issue: 23
• DOI: https://doi.org/10.1103/PhysRevLett.118.230501
• Public URL: https://nottingham-repository.worktribe.com/output/864567
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.230501
• Additional Information: © 2017 American Physical Society