2018/02/28 by Victoria Lipinska, Victoria Lipińska, Florian J. Curchod +3
Computer Science · Mathematics · Physics and Astronomy · #Bell state #Bell's theorem #Bipartite graph #Computer science #Discrete mathematics #Equivalence (formal languages) #Local hidden variable theory #Mathematics #Measure (data warehouse) #Multipartite #Multipartite entanglement #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Squashed entanglement #State (computer science) #Statistical physics #W state #quant-ph
paper · pdf · doi:10.1088/1367-2630/aaca22
published as New Journal of Physics 20, 063043 (2018) · 9+2 pages, 2 figures
openalex created_date 2018/03/06 · openalex publication_date 2018/06/04 · arxiv created 2018/08/13 · arxiv updated 2018/08/14 · openalex updated_date 2026/08/05
While all bipartite pure entangled states are known to generate correlations violating a Bell inequality, and are therefore nonlocal, the quantitative relation between pure state entanglement and nonlocality is poorly understood. In fact, some Bell inequalities are maximally violated by non-maximally entangled states and this phenomenon is also observed for other operational measures of nonlocality. In this work, we study a recently proposed measure of nonlocality defined as the probability that a pure state displays nonlocal correlations when subjected to random measurements. We first prove that this measure satisfies some natural properties for an operational measure of nonlocality. Then, we show that for pure states of two qubits the measure is monotonic with entanglement for all correlation two-outcome Bell inequalities: for all these inequalities, the more the state is entangled, the larger the probability to violate them when random measurements are performed. Finally, we extend our results to the multipartite setting.