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山东大学学报(理学版) ›› 2016, Vol. 51 ›› Issue (11): 127-134.doi: 10.6040/j.issn.1671-9352.0.2015.218

• • 上一篇    

量子信道对广义纠缠鲁棒性的影响

王晓霞,曹怀信*,查嫽   

  1. 陕西师范大学数学与信息科学学院, 陕西 西安 710062
  • 收稿日期:2015-05-12 出版日期:2016-11-20 发布日期:2016-11-22
  • 通讯作者: 曹怀信(1958— ), 男, 博士,教授, 研究方向为算子理论、小波分析、量子信息与量子计算. E-mail:caohx@snnu.edu.cn E-mail:wangxiaoxia@snnu.edu.cn
  • 作者简介:王晓霞(1990— ), 女, 硕士研究生, 研究方向为算子代数与量子信息. E-mail:wangxiaoxia@snnu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11371012,11401359,11471200)

The influences of quantum channels on the generalized robustness of entanglement

WANG Xiao-xia, CAO Huai-xin*, ZHA Liao   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710062, Shaanxi, China
  • Received:2015-05-12 Online:2016-11-20 Published:2016-11-22

摘要: 根据量子态之集是一个凸闭集, 证明了广义纠缠鲁棒性定义中的下确界是可以取到的,说明了同一量子态的两个广义最优态的凸组合仍是广义最优态,广义纠缠鲁棒性作为定义态集合上函数是下半连续的。其次,分别给出了一个量子信道不增加(不减少、保持)所有量子态的广义纠缠鲁棒性的充分必要条件。最后, 作为应用得到了相关已有结果。

关键词: 纠缠态, 广义相对纠缠鲁棒性, 广义纠缠鲁棒性, 可分态, 量子信道

Abstract: Based on the fact that the set of all separable states is a convex-closed set, it is proved that the infimum in the definition of the generalized robustness of entanglement(GRoE)can be attained; second, it is illustrated that a convex combination of two generalized optimal states of a state is still a generalized optimal state and the GRoE is a lower semi-continuous function on the set of all quantum states of a mult-partite system; lastly, necessary and sufficient conditions for a quantum channel to decrease(resp. increase, maintain)the GRoE of all quantum states were obtained. Final, as applications, some existing results were derived.

Key words: entanglement state, generalized robustness of entanglement, generalized relative robustness of entanglement, quantum channel, separable state

中图分类号: 

  • O177.1
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