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Hierarchy of the nonlocal advantage of quantum coherence and Bell nonlocality

2018/02/28 by Ming-Liang Hu, Ming‐Liang Hu, Xiaomin Wang +2 · 86 citations
Computer Science · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Computer science #Hierarchy #Physics #Political science #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Spectroscopy and Quantum Chemical Studies #Theoretical physics #quant-ph

paper · pdf · doi:10.1103/physreva.98.032317

published in Physical Review A 98(3) (American Physical Society) · 8 pages, 4 figures; Final version published in Phys. Rev. A

openalex publication_date 2018/09/17 · arxiv created 2018/09/22 · arxiv updated 2018/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum coherence and nonlocality capture the nature of quantumness from different aspects. For the two-qubit states with a diagonal correlation matrix, we prove strictly a hierarchy between the nonlocal advantage of quantum coherence (NAQC) and Bell nonlocality by showing geometrically that the NAQC created on one qubit by local measurement on another qubit captures quantum correlation which is stronger than Bell nonlocality. For general states, our numerical results present strong evidence that this hierarchy may still hold. So the NAQC states form a subset of the states that can exhibit Bell nonlocality. We further propose a measure of NAQC that can be used for a quantitative study of it in bipartite states.

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