title: Quantum coherence and correlations in quantum system.
abstract: Criteria of measure quantifying quantum coherence, a unique property of quantum system, are proposed recently. In this paper, we first give an uncertainty-like expression relating the coherence and the entropy of quantum system. This finding allows us to discuss the relations between the entanglement and the coherence. Further, we discuss in detail the relations among the coherence, the discord and the deficit in the bipartite quantum system. We show that, the one-way quantum deficit is equal to the sum between quantum discord and the relative entropy of coherence of measured subsystem.
authors.affiliation: College of Computer Science, Shaanxi Normal University, Xi'an, 710062, P. R. China.
authors.forename: Zhengjun
authors.initials: Z
authors.lastname: Xi
authors.affiliation: College of Computer Science, Shaanxi Normal University, Xi'an, 710062, P. R. China.
authors.forename: Yongming
authors.initials: Y
authors.lastname: Li
authors.affiliation: 1] Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, P. R. China [2] Collaborative Innovation Center of Quantum Matter, Beijing, P. R. China.
authors.forename: Heng
authors.initials: H
authors.lastname: Fan