arXiv 1611.033892016-11-11quant-ph

Greenberger-Horne-Zeilinger和W态对Dzyaloshkii-Moriya相互作用的鲁棒性

Robustness of Greenberger-Horne-Zeilinger and W states against Dzyaloshinshkii-Moriya interaction

Kapil K. Sharma, S. N. Pandey

备注：: 11 pages, 6 figures in Quantum. Info. Proc. (2016)

摘要：

本文研究了三重Greenberger-Horne-Zeilinger（GHZ）态和W态对Dzyaloshinskiii-Moriya（DM）相互作用的鲁棒性。我们考虑一个封闭系统的三个量子比特和一个环境量子比特。环境量子位通过DM相互作用与三个量子位中的任何一个相互作用。三方系统最初分别在GHZ和W州准备。复合四量子比特系统以幺正动力学演化。我们从四个量子比特中追踪分离出环境量子比特，研究了DM相互作用对系统初始纠缠的影响。结果发现，W态的两体分割会发生纠缠猝死（ESD），而三体纠缠不会。另一方面，GHZ态的二分分和三分纠缠不受DM相互作用的影响。因此，我们发现GHZ态比W态具有更强的鲁棒性。在这项工作中，我们考虑广义GHZ和W态和三个$π$被用来作为纠缠度量。这一研究对量子信息处理中不需要的DM相互作用的发生有一定的指导意义。

英文摘要：

In this article the robustness of tripartite Greenberger-Horne-Zeilinger (GHZ) and W states is investigated against Dzyaloshinskii-Moriya (i.e. DM) interaction. We consider a closed system of three qubits and an environmental qubit. The environmental qubit interacts with any one of the three qubits through DM interaction. The tripartite system is initially prepared in GHZ and W states respectively. The composite four qubits system evolve with unitary dynamics. We detach the environmental qubit by tracing out from four qubits and profound impact of DM interaction is studied on the initial entanglement of the system. As a result we find that the bipartite partitions of W states suffer from entanglement sudden death (i.e. ESD), while tripartite entanglement does not. On the other hand bipartite partitions and tripartite entanglement in GHZ states does not feel any influence of DM interaction. So, we find that GHZ states have robust character than W states. In this work we consider generalised GHZ and W states and three $π$ is used as an entanglement measure. This study can be useful in quantum information processing where unwanted DM interaction takes place.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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