| 一类正线性映射的可分解性和最优性 |
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| 引用本文： | 侯晋川,李丽君. 一类正线性映射的可分解性和最优性[J]. 山西大学学报(自然科学版), 2012, 35(2): 181-187 |
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| 作者姓名： | 侯晋川 李丽君 |
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| 作者单位： | 1. 太原理工大学数学学院,山西太原030024;山西大学数学与应用数学研究所,山西太原030006
2. 太原理工大学数学学院,山西太原,030024 |
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| 摘 要： | 非完全正的正线性映射在判定复合系统量子态的纠缠性中起关键作用.文章研究一类非完全正的正线性映射的性质,证明了此类正线性映射φ是可分解的,不是2-正的,并给出了由此类正线性映射φ生成的纠缠witnessesWφ成为最优的充分必要条件.
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| 关 键 词： | 正映射 可分解性 最优性 |
Decomposability and Optimality of a Class of Positive Maps |
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| HOU Jin-chuan , LI Li-jun. Decomposability and Optimality of a Class of Positive Maps[J]. Journal of Shanxi University (Natural Science Edit, 2012, 35(2): 181-187 |
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| Authors: | HOU Jin-chuan LI Li-jun |
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| Affiliation: | 1(1.Department of Mathematics,Taiyuan University of Technology,Taiyuan030024,China;2.Research Institute of Mathematics and Applied Mathematics,Shanxi University,Taiyuan030006,China) |
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| Abstract: | NCP positive linear maps play important rules in detecting entanglement of states in composite quantum systems.A kind of NCP positive maps are studied.It is shown that these positive linear maps Φ are decomposable and not 2-positive.A necessary and sufficient condition is given for the entanglement witnesses W Φ arising from such Φ to be optimal. |
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| Keywords: | positive map decomposablity optimality |
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