Quantum coherence versus quantum uncertainty

doi:10.1103/PhysRevA.96.022130

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	Quantum coherence versus quantum uncertainty
	Luo, Shunlong1 ; Sun, Yuan
刊名	PHYSICAL REVIEW A
	2017-08-25
卷号	96 期号:2 页码:5
ISSN号	2469-9926
DOI	10.1103/PhysRevA.96.022130
英文摘要	The notion of measurement is of both foundational and instrumental significance in quantum mechanics, and coherence destroyed by measurements (decoherence) lies at the very heart of quantum to classical transition. Qualitative aspects of this spirit have been widely recognized and analyzed ever since the inception of quantum theory. However, axiomatic and quantitative investigations of coherence are attracting great interest only recently with several figures of merit for coherence introduced [Baumgratz, Cramer, and Plenio, Phys. Rev. Lett. 113, 140401 (2014)]. While these resource theoretic approaches have many appealing and intuitive features, they rely crucially on various notions of incoherent operations which are sophisticated, subtle, and not uniquely defined, as have been critically assessed [Chitambar and Gour, Phys. Rev. Lett. 117, 030401 (2016)]. In this paper, we elaborate on the idea that coherence and quantum uncertainty are dual viewpoints of the same quantum substrate, and address coherence quantification by identifying coherence of a state (with respect to a measurement) with quantum uncertainty of a measurement (with respect to a state). Consequently, coherence measures may be set into correspondence with measures of quantum uncertainty. In particular, we take average quantum Fisher information as a measure of quantum uncertainty, and introduce the corresponding measure of coherence, which is demonstrated to exhibit desirable properties. Implications for interpreting quantum purity as maximal coherence, and quantum discord as minimal coherence, are illustrated.
资助项目	National Natural Science Foundation of China[11375259] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences[Y029152K51] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向	Optics ; Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000408339600002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26530]
专题	应用数学研究所
通讯作者	Luo, Shunlong
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, Shunlong,Sun, Yuan. Quantum coherence versus quantum uncertainty[J]. PHYSICAL REVIEW A,2017,96(2):5.
APA	Luo, Shunlong,&Sun, Yuan.(2017).Quantum coherence versus quantum uncertainty.PHYSICAL REVIEW A,96(2),5.
MLA	Luo, Shunlong,et al."Quantum coherence versus quantum uncertainty".PHYSICAL REVIEW A 96.2(2017):5.