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Maximal violation of Clauser-Horne-Shimony-Holt inequality for four-level systems

2003/07/31 by Libin Fu, Li-Bin Fu, Jing-Ling Chen +3 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1103/physreva.69.034305

published as Phys. Rev. A 69, 034305 (2004) · 7 pages, three tables

openalex publication_date 2004/03/19 · arxiv created 2004/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Clauser-Horne-Shimony-Holt inequality for bipartite systems of four dimensions is studied in detail by employing the unbiased eight-port beam splitters measurements. The uniform formulas for the maximum and minimum values of this inequality for such measurements are obtained. Based on these formulas, we show that an optimal nonmaximally entangled state is about 6% more resistant to noise than the maximally entangled one. We also give the optimal state and the optimal angles which are important for experimental realization.

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