Quantum coherence versus quantum uncertainty

doi:10.1103/PhysRevA.96.022130

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	Quantum coherence versus quantum uncertainty
	Luo, Shunlong1 ; Sun, Yuan
	2017-08-25
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	96 期号:2 页码:5
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.
DOI	10.1103/PhysRevA.96.022130
语种	英语
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
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000408339600002
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26531
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.