Relating quantum coherence and correlations with entropy-based measures
Abstract
Quantum coherence as an important quantum resource plays a key role in quantum theory. In this paper, using entropy-based measures, we investigate the relations between quantum correlated coherence, which is the coherence between subsystems [K. C. Tan, H. Kwon, C. Y. Park, and H. Jeong, Phys. Rev. A 94, 022329 (2016)], and two main kinds of quantum correlations as defined by quantum discord as well as quantum entanglement. In particular, we show that quantum discord and quantum entanglement can be well characterized by quantum correlated coherence. Moreover, we prove that the entanglement measure formulated by quantum correlated coherence is lower and upper bounded by the relative entropy of entanglement and the entanglement of formation, respectively, and equal to the relative entropy of entanglement for maximally correlated states.
Cite
@article{arxiv.1703.00648,
title = {Relating quantum coherence and correlations with entropy-based measures},
author = {Xiao-Li Wang and Qiu-Ling Yue and Chao-Hua Yu and Fei Gao and Su-Juan Qin},
journal= {arXiv preprint arXiv:1703.00648},
year = {2017}
}
Comments
15 pages