Converting contextuality into nonlocality

Abstract

We introduce a general method which converts, in a unified way, any form of quantum contextuality, including any form of state-dependent contextuality, into a quantum violation of a bipartite Bell inequality. As an example, we apply the method to a quantum violation of the Klyachko-Can-Binicioğlu-Shumovsky inequality.

5+8 pages, 2+8 figures

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Cited by in corpus (30)

• Kochen-Specker Contextuality
• Quantum contextuality provides communication complexity advantage
• Experimental Demonstration of Quantum Pseudotelepathy
• Quantum Contextuality
• Semi-definite programming and quantum information
• Unlimited non-causal correlations and their relation to non-locality
• Graph-Theoretic Framework for Self-Testing in Bell Scenarios
• Playing quantum nonlocal games with six noisy qubits on the cloud
• Graph-theoretic approach to Bell experiments with low detection efficiency
• Separability, Contextuality, and the Quantum Frame Problem
• Unitary Partitioning and the Contextual Subspace Variational Quantum Eigensolver
• Optimal and tight Bell inequalities for state-independent contextuality sets
• Irreducible magic sets for $n$-qubit systems
• Violating the KCBS inequality with a toy mechanism
• Varieties of contextuality based on probability and structural nonembeddability
• The simplest Kochen-Specker set
• Quantum violation of the Suppes-Zanotti inequalities and "contextuality"
• Exploring the boundary of quantum correlations with a time-domain optical processor
• Converting nonlocality into contextuality
• Harvesting Contextuality from the Vacuum
• Connecting extended Wigner's friend arguments and noncontextuality
• Two fundamental solutions to the rigid Kochen-Specker set problem and the solution to the minimal Kochen-Specker set problem under one assumption
• Trade-off relations between Bell nonlocality and local Kochen-Specker contextuality in generalized Bell scenarios
• Classical Invasive Description of Informationally-Complete Quantum Processes
• Generation of Kochen-Specker contextual sets in higher dimensions by dimensional upscaling whose complexity does not scale with dimension and their applications
• Generalized Iterative Formula for Bell Inequalities
• Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems
• Twenty years of quantum contextuality at USTC
• Probe of Generic Quantum Contextuality and Nonlocal Resources for Qubits
• Simultaneous All-versus-Nothing Refutation of Local Realism and Noncontextuality by a Single System