2016/03/21 by Kaifeng Bu, Bu, Kaifeng, Asutosh Kumar +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Bell state #Bell test experiments #Bell's theorem #CHSH inequality #Entanglement witness #FOS: Physical sciences #Local hidden variable theory #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Theoretical physics #quant-ph
paper · pdf · doi:10.48550/arxiv.1603.06322
v2: 7 pages, 2 figures, minor revisions are included and a new author is added! v1: 5 pages, 2 figures
openalex publication_date 2016/03/21 · arxiv created 2016/07/28 · arxiv updated 2016/07/29 · openalex created_date 2016/08/23 · openalex updated_date 2026/08/05
Bell inequality is a mathematical inequality derived using the assumptions of locality and realism. Its violation guarantees the existence of quantum correlations in a quantum state. Bell inequality acts as an entanglement witness in the sense that a pure bipartite quantum state, having nonvanishing entanglement, always violates a Bell inequality. We construct Bell-type inequalities for product states in quantum coherence theory for different measures of coherence, and find that the maximally entangled states violate these inequalities. We further show that Bell-type inequalities for relative entropy of coherence is violated by all two-qubit pure entangled states, serving as an entanglement witness.