中国物理B ›› 2021, Vol. 30 ›› Issue (12): 120304-120304.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. 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
  • 收稿日期:2021-04-24 修回日期:2021-07-05 接受日期:2021-07-22 出版日期:2021-11-15 发布日期:2021-11-30
  • 通讯作者: Lian-Wu Yang E-mail:wlyanglw@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61675115 and 11704221).

Quantifying coherence with dynamical discord

Lian-Wu Yang(杨连武1,†) and Yun-Jie Xia(夏云杰)2   

  1. 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
  • Received:2021-04-24 Revised:2021-07-05 Accepted:2021-07-22 Online:2021-11-15 Published:2021-11-30
  • Contact: Lian-Wu Yang E-mail:wlyanglw@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61675115 and 11704221).

摘要: 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.

关键词: quantum coherence, dynamical discord, relative entropy

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.

Key words: quantum coherence, dynamical discord, relative entropy

中图分类号:  (Foundations of quantum mechanics; measurement theory)

  • 03.65.Ta
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)