Geometric discord for multiqubit systems

Zhu, Chen-Lu; Hu, Bin; Li, Bo; Wang, Zhi‐Xi; Fei, Shao-Ming

doi:10.1007/s11128-022-03581-y

Cited by 6 publications

(2 citation statements)

References 42 publications

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“…For multipartite systems, even fewer results are derived. [40][41][42][43][44][45][46] For example, the quantum discord for multipartite X-states was evaluated analytically and classified into three categories by Li et al, and they investigated the dynamic behavior of the quantum discord under decoherence. [45] Zhou et al focused on the quantum discord for tripartite with fourteen parameters and got analytic solutions in some special cases.…”

Section: Introductionmentioning

confidence: 99%

Quantum discord and its dynamics for multipartite systems

Luo 罗,

Guo 郭

2024

Chinese Phys. B

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Quantum discord, one of the famous quantum correlations, has been recently generalized to multipartite systems by Radhakrishnan et.al. In this paper, we give analytical solutions of the quantum discord for a family of N-qubit quantum states. For bipartite case, we derive a zero quantum discord which will remain unchanged under the phase damping channel. For larger cases, 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 doesn't exist in the even-partite systems.

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Section: Introductionmentioning

confidence: 99%

Quantum discord and its dynamics for multipartite systems

Luo 罗,

Guo 郭

2024

Chinese Phys. B

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“…[21] A feature of their formulation is that the definition of multipartite discord reduces to the standard definition of discord for bipartite correlated subsystems, and this has also led to research of multipartite quantum discord. [22][23][24][25][26] Quantifying discord is not only the basic problem of quantum correlation theory, but also the premise of using quantum discord. After Datta gave a mathematical description of bipartite quantum states with zero discord, [27] a great deal of work began on the quantitative study of quantum discord from a geometric perspective, that is, this kind of discord is defined as the minimal distance between a state and the set of states with zero discord.…”

Section: Introductionmentioning

confidence: 99%

Geometric discord of tripartite quantum systems

Xiong

Miao

et al. 2023

Chinese Phys. B

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In this paper, we study the quantification of geometric discord for tripartite quantum systems. Firstly, we obtain the analytic formula of geometric discord for tripartite pure states. It is already known that the geometric discord of pure states reduces to the geometric entanglement in bipartite systems, the results presented here show that this property is no longer true in tripartite systems. Furthermore, we provide an operational meaning for tripartite geometric discord by linking it to quantum state discrimination, that is, we prove that the geometric discord of tripartite states is equal to the minimum error probability to discriminate a set of quantum states with von Neumann measurement. At last, we calculate the geometric discord of three-qubit Bell diagonal states and then investigate the dynamic behavior of tripartite geometric discord under local decoherence. It is interesting that the frozen phenomenon exists for geometric discord in this scenario.

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