2010/11/30 by Thomas Vidick, Stephanie Wehner · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Bell state #Bell test experiments #Bell's theorem #CHSH inequality #Combinatorics #Dimension (graph theory) #Greenberger–Horne–Zeilinger state #Inequality #Mathematical analysis #Mathematics #Philosophy #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum and electron transport phenomena #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Simple (philosophy) #State (computer science) #Theoretical physics #W state #quant-ph
paper · pdf · doi:10.1103/physreva.83.052310
published as Phys. Rev. A 83, 052310 (2011) · 9 pages; Added reference to arXiv:1012.1513
arxiv created 2010/12/08 · openalex publication_date 2011/05/13 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recent numerical investigations [K. P'al and T. V'ertesi, Phys. Rev. A 82, 022116 (2010)] suggest that the I3322 inequality, arguably the simplest extremal Bell inequality after the CHSH inequality, has a very rich structure in terms of the entangled states and measurements that maximally violate it. Here we show that for this inequality the maximally entangled state of any dimension achieves the same violation than just a single EPR pair. In contrast, stronger violations can be achieved using higher dimensional states which are less entangled. This shows that the maximally entangled state is not the most nonlocal resource, even when one restricts attention to the most simple extremal Bell inequalities.