Uncertainty Relations for Coherence

doi:10.1088/0253-6102/71/12/1443

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	Uncertainty Relations for Coherence
	Luo, Shun-Long1 ; Sun, Yuan
	2019-12-01
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	71 期号:12 页码:1443-1447
摘要	Quantum mechanical uncertainty relations are fundamental consequences of the incompatible nature of noncommuting observables. In terms of the coherence measure based on the Wigner-Yanase skew information, we establish several uncertainty relations for coherence with respect to von Neumann measurements, mutually unbiased bases (MUBs), and general symmetric informationally complete positive operator valued measurements (SIC-POVMs), respectively. Since coherence is intimately connected with quantum uncertainties, the obtained uncertainty relations are of intrinsically quantum nature, in contrast to the conventional uncertainty relations expressed in terms of variance, which are of hybrid nature (mixing both classical and quantum uncertainties). From a dual viewpoint, we also derive some uncertainty relations for coherence of quantum states with respect to a fixed measurement. In particular, it is shown that if the density operators representing the quantum states do not commute, then there is no measurement (reference basis) such that the coherence of these states can be simultaneously small.
关键词	uncertainty relations coherence Wigner-Yanase skew information quantum uncertainty von Neumann measurements
DOI	10.1088/0253-6102/71/12/1443
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, and Chinese Academy of Sciences[Y029152K51]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000518889900007
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50947
专题	应用数学研究所
通讯作者	Luo, Shun-Long
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shun-Long,Sun, Yuan. Uncertainty Relations for Coherence[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2019,71(12):1443-1447.
APA	Luo, Shun-Long,&Sun, Yuan.(2019).Uncertainty Relations for Coherence.COMMUNICATIONS IN THEORETICAL PHYSICS,71(12),1443-1447.
MLA	Luo, Shun-Long,et al."Uncertainty Relations for Coherence".COMMUNICATIONS IN THEORETICAL PHYSICS 71.12(2019):1443-1447.