Quantum nonlocality via local contextuality with qubit-qubit entanglement

Abstract

Quantum nonlocality can be revealed "via local contextuality" in qudit-qudit entangled systems with $d>2$, that is, through the violation of inequalities containing Alice-Bob correlations that admit a local description, and Alice-Alice correlations (between the results of sequences of measurements on Alice's subsystem) that admit a local (but contextual) description. A fundamental question to understand the respective roles of entanglement and local contextuality is whether nonlocality via local contextuality exists when the parties have only qubit-qubit entanglement. Here we respond affirmatively to this question. This result further clarifies the connection between contextuality and nonlocality and opens the door for observing nonlocality via local contextuality in actual experiments.

References in corpus (9)

• Hidden Variables and the Two Theorems of John Bell
• Experimentally testable state-independent quantum contextuality
• State-independent experimental test of quantum contextuality
• The Free Will Theorem
• Experimental test of quantum contextuality in neutron interferometry
• State-independent proof of Kochen-Specker theorem with 13 rays
• State-independent quantum contextuality with single photons
• Universality of state-independent violation of correlation inequalities for noncontextual theories
• Proposed experiments of qutrit state-independent contextuality and two-qutrit contextuality-based nonlocality

Cited by in corpus (3)

• Activation of monogamy in non-locality using local contextuality
• Optimal and tight Bell inequalities for state-independent contextuality sets
• Trade-off relations between Bell nonlocality and local Kochen-Specker contextuality in generalized Bell scenarios