Detecting full $N$-particle entanglement in arbitrarily-high-dimensional systems with Bell-type inequalities

Detecting full $N$ -particle entanglement in arbitrarily-high-dimensional systems with Bell-type inequalities

Jing-Ling Chen, Dong-Ling Deng, Hong-Yi Su, Chunfeng Wu, and C. H. Oh

Phys. Rev. A 83, 022316 – Published 18 February 2011

Abstract

We derive a set of Bell-type inequalities for arbitrarily-high-dimensional systems based on the assumption of partial separability in the hybrid local-nonlocal hidden-variable model. Partially entangled states would not violate the inequalities, and thus, upon violation, these Bell-type inequalities are sufficient conditions to detect the full $N$ -particle entanglement and invalidity of the hybrid local-nonlocal hidden-variable description.

Received 28 December 2010

DOI:https://doi.org/10.1103/PhysRevA.83.022316

Authors & Affiliations

Jing-Ling Chen^1,*, Dong-Ling Deng^1,2, Hong-Yi Su¹, Chunfeng Wu³, and C. H. Oh^3,†

¹Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, China
²Department of Physics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
³Department of Physics and Centre for Quantum Technologies, National University of Singapore, 2 Science Drive 3, Singapore 117542

^*phyohch@nus.edu.sg
^†chenjl@nankai.edu.cn

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Vol. 83, Iss. 2 — February 2011

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