Maximal non-classicality in multi-setting Bell inequalities

DOI10.1088/1751-8113/49/14/145301zbMath1342.81051arXiv1506.04331OpenAlexW3099019088MaRDI QIDQ3186451

Armin Tavakoli, Stefan Zohren, Marcin Pawłowski

Publication date: 9 August 2016

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

Abstract: The discrepancy between maximally entangled states and maximally non-classical quantum correlations is well-known but still not well understood. We aim to investigate the relation between quantum correlations and entanglement in a family Bell inequalities with $N$-settings and $d$ outcomes. Using analytical as well as numerical techniques, we derive both maximal quantum violations and violations obtained from maximally entangled states. Furthermore, we study the most non-classical quantum states in terms of their entanglement entropy for large values of $d$ and many measurement settings. Interestingly, we find that the entanglement entropy behaves very differently depending on whether $N=2$ or $N>2$: when $N=2$ the entanglement entropy is a monotone function of $d$ and the most non-classical state is far from maximally entangled, whereas when $N>2$ the entanglement entropy is a non-monotone function of $d$ and converges to that of the maximally entangled state in the limit of large $d$.

Full work available at URL: https://arxiv.org/abs/1506.04331

zbMATH Keywords

entanglementBell inequalityquantum correlation

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (2)

Maximal Bell's inequality violation for non-maximal entanglement ⋮ Bell nonlocality in maximal-length quantum mechanics

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