Bell-type inequality in quantum coherence theory as an entanglement witness
Abstract
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.
Keywords
Cite
@article{arxiv.1603.06322,
title = {Bell-type inequality in quantum coherence theory as an entanglement witness},
author = {Kaifeng Bu and Asutosh Kumar and Junde Wu},
journal= {arXiv preprint arXiv:1603.06322},
year = {2016}
}
Comments
v2: 7 pages, 2 figures, minor revisions are included and a new author is added! v1: 5 pages, 2 figures