Operational nonclassicality of local multipartite correlations in the limited-dimensional simulation scenario

DOI10.1088/1751-8121/AAD1FDzbMATH Open1397.81041arXiv1701.04363OpenAlexW2975359297WikidataQ129565020 ScholiaQ129565020MaRDI QIDQ4689533

Author name not available (Why is that?)

Publication date: 16 October 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: For a bipartite local quantum correlation, superlocality refers to the requirement for a larger dimension of the random variable in the classical simulation protocol than that of the quantum states that generate the correlations. In this work, we consider the classical simulation of local tripartite quantum correlations $P$ among three parties $A,B$ and $C$. If at least one of the bipartitions $(A|BC)$, $(B|AC)$ and $(C|AB)$ is superlocal, then $P$ is said to be absolutely superlocal, whereas if all three bipartitions are superlocal, then $P$ is said to be genuinely superlocal. We present specific examples of genuine superlocality for tripartite correlations derived from three-qubit states. It is argued that genuine quantumness as captured by the notion of genuine discord is necessary for demonstrating genuine superlocality. Finally, the notions of absolute and genuine superlocality are also defined for multipartite correlations.

Full work available at URL: https://arxiv.org/abs/1701.04363

zbMATH Keywords

tripartite quantum correlationgenuine quantum discordsuperlocalitytripartite nonsignaling boxes

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15) Quantum coherence, entanglement, quantum correlations (81P40)

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