2003/12/12 by Guenter Schachner, Schachner, Guenter · 5 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #FOS: Physical sciences #Inequality #Mathematical analysis #Mathematical economics #Mathematics #Origins and Evolution of Life #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0312117
published in arXiv (Cornell University) (Cornell University) · 12 pages, 3 figures
arxiv created 2003/12/12 · openalex publication_date 2003/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present an analysis of the structure of Bell inequalities, mainly for the case of N qubits with two observables each. We show that these inequalities are related to Hadamard matrices and define Bell polynomials (in one variable) as an additional tool. With these aids we raise several conditions the coefficients of Bell inequalities must satisfy, and recursively generate the whole set of inequalities starting from N=1. Moreover, we prove some characteristic features of this set, such as that most of the inequalities contain all expectation values under consideration. Finally, we show how the presented results can be used to construct Bell inequalities with certain properties. An outlook on further research topics concludes the paper.