Characterizing nonlocality of pure symmetric three-qubit states

摘要: We explore nonlocality of three-qubit pure symmetric states shared between Alice, Bob and Charlie using the Clauser–Horne–Shimony–Holt (CHSH) inequality. make use elegant parametrization in canonical form these states, proposed by Meill Meyer (Phys Rev A 96:062310, 2017) based on Majorana geometric representation. The reduced two-qubit extracted from an arbitrary entangled state, do not violate CHSH inequality, hence, they are CHSH-local. However, when Alice perform a test, after conditioning over measurement results Charlie, state is revealed. have also shown that two different families consisting three distinct spinors (qubits), respectively, can be distinguished strength violation conditional test. Furthermore, we identify six 46 classes tight Bell inequalities three-party, two-setting, two-outcome, i.e., (3,2,2) scenario (Lopez-Rosa et al. Phys 94:062121, 2016). Among inequivalent only belonging to spinor class show maximum violations inequalities.