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- W2945477777 abstract "In quantum information, lifting is a procedure employed to derive a Bell inequality applicable in a more complicated Bell scenario from an existing one. It is known that the procedure of lifting considered by Pironio [J. Math. Phys. A 46, 062112 (2005)] preserves the facet-defining property of a Bell inequality. Here, we perform a complementary investigation showing that the maximal value of a lifted Bell inequality is preserved for both the set of non-signaling correlations and quantum correlations. Moreover, the optimal quantum state leading to the maximal violation of an outcome-lifted (party-lifted) Bell inequality is provably (essentially) the same as that for the original Bell inequality. The self-testing property of a Bell inequality, however, is only partially preserved through the outcome-lifting procedure as the corresponding maximal quantum violation is achievable with distinct quantum strategies. The implication of such a degeneracy on the geometry of the quantum set of correlations, as well as the usefulness of using lifted Bell-like inequalities as device-independent witnesses for entanglement depth is also discussed." @default.
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- W2945477777 date "2019-05-24" @default.
- W2945477777 modified "2023-09-27" @default.
- W2945477777 title "Maximal violation of lifted Bell inequalities, self-testing, and the geometry of the quantum set" @default.
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