Tripartite Bell-type inequalities for measures of quantum coherence and skew information

2016/10/23 by Liang Qiu, L. Qiu, Qiu, L. +5 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1610.07237

9 pages, 3 figures. All comments are welcome

arxiv created 2016/10/23 · openalex publication_date 2016/10/23 · arxiv updated 2016/10/25 · openalex created_date 2016/11/04 · openalex updated_date 2026/07/28

Abstract

We construct the tripartite Bell-type inequalities of product states for l1-norm of coherence, relative entropy of coherence and skew information. Some three-qubit entangled states violate these inequalities. Particulary, the tripartite Bell-type inequality for relative entropy of coherence is always violated by the W class pure or mixed states as well as the GHZ class pure or mixed states, being used as entanglement witness.

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• Resource theory of quantum coherence with probabilistically nondistinguishable pointers and corresponding wave-particle duality

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