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Multicomponent Bell inequality and its violation for continuous-variable systems

2003/10/31 by Jing‐Ling Chen, Jing-Ling Chen, Chunfeng Wu +6
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.71.032107

published as Phys. Rev. A 71, 032107 (2005) · 5 pages and 1 figure, rewritten version, accepted by Phys. Rev. A

arxiv created 2005/01/22 · openalex publication_date 2005/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Multicomponent correlation functions are developed by utilizing d-outcome measurements. Based on multicomponent correlation functions, we propose a Bell inequality for bipartite d-dimensional systems. Violation of the Bell inequality for continuous-variable (CV) systems is investigated. The violation of maximally entangled states can exceed the Cirel'son bound; the maximal violation is 2.969 81. For finite values of the squeezing parameter, the violation strength of CV states increases with dimension d. Numerical results show that the violation strength of CV states with finite squeezing parameters is stronger than that of maximally entangled states.

Citations