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The uncertainty of quantum channels in terms of variance

文献类型：期刊论文

作者Sun, Yuan1; Li, Nan2,3
刊名QUANTUM INFORMATION PROCESSING
出版日期2021-01-11
卷号20期号:1页码:15
关键词Quantum channels Uncertainty Variance Entanglement fidelity
ISSN号1570-0755
DOI10.1007/s11128-020-02972-3
英文摘要By use of the generalized variance for any operator (not necessarily Hermitian), we introduce the uncertainty of quantum channels as the sum of the generalized variances for the Kraus operators of quantum channels and prove that it satisfies several desirable properties. Then, we establish two trade-off relations between the uncertainty of quantum channels and the entanglement fidelity which is introduced by Schumacher (Phys. Rev. A 54: 2614, 1996) and quantifies how well the channel preserves the entanglement between the input system and the auxiliary system for purification. Finally, we illustrate the uncertainty of quantum channels through some typical examples.
资助项目Youth Innovation Promotion Association of CAS[2020002] ; National Natural Science Foundation of China[11775298] ; National Natural Science Foundation of China[61833010] ; National Natural Science Foundation of China[12005104] ; National Center for Mathematics and Interdisciplinary Sciences, CAS[Y029152K51] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向Physics
语种英语
WOS记录号WOS:000610572400003
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58031]  
专题应用数学研究所
通讯作者Sun, Yuan
作者单位1.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Sun, Yuan,Li, Nan. The uncertainty of quantum channels in terms of variance[J]. QUANTUM INFORMATION PROCESSING,2021,20(1):15.
APA Sun, Yuan,&Li, Nan.(2021).The uncertainty of quantum channels in terms of variance.QUANTUM INFORMATION PROCESSING,20(1),15.
MLA Sun, Yuan,et al."The uncertainty of quantum channels in terms of variance".QUANTUM INFORMATION PROCESSING 20.1(2021):15.

入库方式： OAI收割

来源：数学与系统科学研究院

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