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Bell Inequalities with No Quantum Violation and Unextendable Product Bases

Bell Inequalities with No Quantum Violation and Unextendable Product Bases

The strength of classical correlations is subject to certain constraints, commonly known as Bell inequalities. Violation of these inequalities is the manifestation of nonlocality-displayed, in particular, by quantum mechanics, meaning that quantum mechanics can outperform classical physics at tasks associated with such Bell inequalities. Interestingly, however, there exist situations in …