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Chin. Phys. B, 2021, Vol. 30(12): 120304    DOI: 10.1088/1674-1056/ac16d1
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Quantifying coherence with dynamical discord

Lian-Wu Yang(杨连武1,†) and Yun-Jie Xia(夏云杰)2
1 School of Physical Science and Intelligent Engineering, Jining University, Qufu 273155, China;
2 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China
Abstract  Quantum coherence and discord are two kinds of manifestations of nonclassicality. By calculating the coherence and discord in the specific bipartite quantum systems, we show quantitative connections between the coherence and the discord in the bipartite quantum systems created from local systems with the help of incoherent operations. We show that the coherence bounds the dynamical discord, and under particular conditions of the initial quantum states, the coherence of single systems is equal to the dynamical discord. We extend these results to the multipartite quantum systems.
Keywords:  quantum coherence      dynamical discord      relative entropy  
Received:  24 April 2021      Revised:  05 July 2021      Accepted manuscript online:  22 July 2021
PACS:  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
  03.65.Ud (Entanglement and quantum nonlocality)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61675115 and 11704221).
Corresponding Authors:  Lian-Wu Yang     E-mail:

Cite this article: 

Lian-Wu Yang(杨连武) and Yun-Jie Xia(夏云杰) Quantifying coherence with dynamical discord 2021 Chin. Phys. B 30 120304

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