The uncertainty of quantum channels in terms of variance

doi:10.1007/s11128-020-02972-3

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	The uncertainty of quantum channels in terms of variance
	Sun, Yuan 1; Li, Nan2,3
	2021-01-11
发表期刊	QUANTUM INFORMATION PROCESSING
ISSN	1570-0755
卷号	20 期号:1 页码:15
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.
关键词	Quantum channels Uncertainty Variance Entanglement fidelity
DOI	10.1007/s11128-020-02972-3
收录类别	SCI
语种	英语
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
WOS类目	Quantum Science & Technology ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000610572400003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58032
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.