Quantum discord and its dynamics for multipartite systems

doi:10.1088/1674-1056/ad3810

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60303-060303.doi: 10.1088/1674-1056/ad3810

Quantum discord and its dynamics for multipartite systems

Jiaxin Luo(罗嘉欣) and Qiong Guo(郭琼)†

College of Sciences, Shanghai Institute of Technology, Shanghai 201418, China

收稿日期:2024-02-19 修回日期:2024-03-14 接受日期:2024-03-27 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Qiong Guo E-mail:qiongguo@sit.edu.cn
基金资助:
This work was partially supported by the National Natural Science Foundation of China (Grant No. 11601338).

Quantum discord and its dynamics for multipartite systems

Jiaxin Luo(罗嘉欣) and Qiong Guo(郭琼)†

College of Sciences, Shanghai Institute of Technology, Shanghai 201418, China

Received:2024-02-19 Revised:2024-03-14 Accepted:2024-03-27 Online:2024-06-18 Published:2024-06-18
Contact: Qiong Guo E-mail:qiongguo@sit.edu.cn
Supported by:
This work was partially supported by the National Natural Science Foundation of China (Grant No. 11601338).

摘要/Abstract

摘要： Quantum discord, one of the famous quantum correlations, has been recently generalized to multipartite systems by Radhakrishnan et al. Here we give analytical solutions of the quantum discord for a family of $N$-qubit quantum states. For the bipartite system, we derive a zero quantum discord which will remain unchanged under the phase damping channel. For multiparitite systems, it is found that the quantum discord can be classified into three categories and the quantum discord for odd-partite systems can exhibit freezing under the phase damping channel, while the freezing does not exist in the even-partite systems.

关键词: quantum discord, multipartite systems, decoherence channels, frozen discord

Abstract: Quantum discord, one of the famous quantum correlations, has been recently generalized to multipartite systems by Radhakrishnan et al. Here we give analytical solutions of the quantum discord for a family of $N$-qubit quantum states. For the bipartite system, we derive a zero quantum discord which will remain unchanged under the phase damping channel. For multiparitite systems, it is found that the quantum discord can be classified into three categories and the quantum discord for odd-partite systems can exhibit freezing under the phase damping channel, while the freezing does not exist in the even-partite systems.

Key words: quantum discord, multipartite systems, decoherence channels, frozen discord

中图分类号: (Quantum systems with finite Hilbert space)

03.65.Aa

03.67.-a (Quantum information) 03.65.Yz (Decoherence; open systems; quantum statistical methods)

Jiaxin Luo(罗嘉欣) and Qiong Guo(郭琼). Quantum discord and its dynamics for multipartite systems[J]. 中国物理B, 2024, 33(6): 60303-060303.

Jiaxin Luo(罗嘉欣) and Qiong Guo(郭琼). Quantum discord and its dynamics for multipartite systems[J]. Chin. Phys. B, 2024, 33(6): 60303-060303.

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Quantum discord and its dynamics for multipartite systems

Quantum discord and its dynamics for multipartite systems

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