| 无限维两体量子系统态的可分性鲁棒和纠缠鲁棒 |
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| 引用本文： | 王银珠,黄丽,马瑞芬.无限维两体量子系统态的可分性鲁棒和纠缠鲁棒[J].井冈山大学学报（自然科学版）,2017(1):25-28. |
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| 作者姓名： | 王银珠 黄丽 马瑞芬 |
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| 作者单位： | 太原科技大学数学系, 山西, 太原 030024,太原科技大学数学系, 山西, 太原 030024,太原科技大学数学系, 山西, 太原 030024 |
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| 基金项目： | 山西省自然科学基金项目（2015011003）；太原科技大学博士科研启动基金项目（20142032） |
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| 摘 要： | 研究了量子信息理论中无限维两体量子态的可分性鲁棒和纠缠鲁棒问题。利用无限维两体量子系统态的Concurrence纠缠度以及可分态的边缘态的概念,讨论了无限维两体量子态的可分性鲁棒和纠缠鲁棒的定义。得到了可分性鲁棒以及纠缠鲁棒的若干基本性质,推广了有限维两体量子态的相应结果,获得了无限维两体量子系统态的可分性鲁棒和纠缠鲁棒分别为零的等价条件。
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| 关 键 词： | 无限维量子系统 可分性鲁棒 纠缠鲁棒 边缘可分态 |
| 收稿时间： | 2016/7/20 0:00:00 |
| 修稿时间： | 2016/11/8 0:00:00 |
THE SEPARABILITY ROBUSTNESS AND ENTANGLEMENT ROBUSTNESS FOR STATES IN INFINITE DIMENSIONAL BIPARTITE SYSTEMS |
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| WANG Yin-zhu,HUANG Li and MA Rui-fen.THE SEPARABILITY ROBUSTNESS AND ENTANGLEMENT ROBUSTNESS FOR STATES IN INFINITE DIMENSIONAL BIPARTITE SYSTEMS[J].Journal of Jinggangshan University(Natural Sciences Edition),2017(1):25-28. |
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| Authors: | WANG Yin-zhu HUANG Li and MA Rui-fen |
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| Institution: | Department of mathematics, Taiyuan University of science and technology, Taiyuan, Shanxi 030024, China,Department of mathematics, Taiyuan University of science and technology, Taiyuan, Shanxi 030024, China and Department of mathematics, Taiyuan University of science and technology, Taiyuan, Shanxi 030024, China |
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| Abstract: | The separability robustness and entanglement robustness for states in infinite dimensional quantum systems in quantum information theory were studied. Using Concurrence entanglement measure and edge states of separable states in infinite dimensional quantum systems, the concepts of separability robustness and entanglement robustness for states in infinite dimensional quantum systems was discussed. Some properties of separability robustness and entanglement robustness for infinite dimensional quantum states were obtained. Furthermore, these results generalize the corresponding results of bipartite finite dimensional quantum systems. We obtain some equivalents conditions of zero separability robustness and entanglement robustness. |
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| Keywords: | infinite dimensional quantum systems separability robustness entanglement robustness edge separable states |
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