Uncertainty regions of observables and state-independent uncertainty relations

doi:10.1007/s11128-021-03303-w

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	Uncertainty regions of observables and state-independent uncertainty relations
	Zhang, Lin 1; Luo, Shunlong2 ; Fei, Shao-Ming 3; Wu, Junde 4
	2021-11-01
发表期刊	QUANTUM INFORMATION PROCESSING
ISSN	1570-0755
卷号	20 期号:11 页码:42
摘要	The optimal state-independent lower bounds for the sum of variances or deviations of observables are of significance for the growing number of experiments that reach the uncertainty limited regime. We present a framework for computing the tight uncertainty relations of variance or deviation via determining the uncertainty regions, which are formed by the tuples of two or more of quantum observables in random quantum states induced from the uniform Haar measure on the purified states. From the analytical formulae of these uncertainty regions, we present state-independent uncertainty inequalities satisfied by the sum of variances or deviations of two, three and arbitrary many observables, from which experimentally friend entanglement detection criteria are derived for bipartite and tripartite systems.
关键词	Uncertainty of observable Probability density function Uncertainty region State-independent uncertainty relation Harish-Chandra-Itzykson-Zuber integral
DOI	10.1007/s11128-021-03303-w
收录类别	SCI
语种	英语
资助项目	NSF of China[11971140] ; NSF of China[61771174] ; NSF of China[12075159] ; Beijing Natural Science Foundation[Z190005] ; Key Project of Beijing Municipal Commission of Education[KZ201810028042] ; Academician Innovation Platform of Hainan Province, Academy for Multidisciplinary Studies, Capital Normal University ; Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology[SIQSE202001]
WOS研究方向	Physics
WOS类目	Quantum Science & Technology ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000711458900007
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/59466
专题	应用数学研究所
通讯作者	Zhang, Lin
作者单位	1.Hangzhou Dianzi Univ, Inst Math, Hangzhou 310018, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 4.Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Lin,Luo, Shunlong,Fei, Shao-Ming,et al. Uncertainty regions of observables and state-independent uncertainty relations[J]. QUANTUM INFORMATION PROCESSING,2021,20(11):42.
APA	Zhang, Lin,Luo, Shunlong,Fei, Shao-Ming,&Wu, Junde.(2021).Uncertainty regions of observables and state-independent uncertainty relations.QUANTUM INFORMATION PROCESSING,20(11),42.
MLA	Zhang, Lin,et al."Uncertainty regions of observables and state-independent uncertainty relations".QUANTUM INFORMATION PROCESSING 20.11(2021):42.