| 无限维两体量子系统可分态的一个必要充分条件 |
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| 引用本文： | 王银珠,侯晋川.无限维两体量子系统可分态的一个必要充分条件[J].中北大学学报,2012(1):1-3. |
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| 作者姓名： | 王银珠 侯晋川 |
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| 作者单位： | 太原理工大学数学学院;太原科技大学应用科学学院 |
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| 基金项目： | 山西省青年科学基金资助项目(2011021002-2) |
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| 摘 要： | 构造所考虑的量子系统与辅助量子系统张量积空间中的经典态,利用经典态在辅助复合系统的偏迹运算,研究了无限维两体复合量子系统态纠缠的识别问题,得出了无限维两体复合量子系统态可分的一个必要充分条件,推广了Li Nan和Luo Shunlong的有限维复合量子系统的相关结果.对于识别无限维量子态的纠缠或可分是一个补充.
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| 关 键 词： | 无限维量子系统 经典态 Von Neumann测量 纠缠判据 |
A Necessary and Sufficient Condition for Separable States in Infinite Dimensional Bipartite Quantum Systems |
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| WANG Yin-zhu,HOU Jin-chuan.A Necessary and Sufficient Condition for Separable States in Infinite Dimensional Bipartite Quantum Systems[J].Journal of North University of China,2012(1):1-3. |
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| Authors: | WANG Yin-zhu HOU Jin-chuan |
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| Affiliation: | 1(1.College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China;2.School of Applied Science,Taiyuan University of Science and Technology,Taiyuan 030024,China) |
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| Abstract: | The classical state in tensor product space of considering quantum systems and ancillary quantum systems was constructed.By taking partial trace over ancillary composite quantum systems,the problem of detecting entanglement for states in infinite dimensional bipartite composite quantum system was studied.A necessary and sufficient condition for separable states in infinite dimensional bipartite quantum systems was obtained.The above work extended the relevant results got by Li Nan and Luo Shunlong,and reinforced the exploration of entanglement for states in infinite dimensional quantum systems. |
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| Keywords: | infinite dimensional quantum systems classical states Von Neumann measurement entanglement criterion |
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