Classicality versus quantumness in Born's probability

doi:10.1103/PhysRevA.96.052126

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	Classicality versus quantumness in Born's probability
	Luo, Shunlong1,2
	2017-11-20
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	96 期号:5 页码:6
摘要	Born's rule, which postulates the probability of a measurement outcome in a quantum state, is pivotal to interpretations and applications of quantum mechanics. By exploiting the departure of the product of two Hermitian operators in Born's rule from Hermiticity, we prescribe an intrinsic and natural scheme to decompose Born's probability into a classical part and a quantum part, which have significant implications in quantum information theory. The classical part constitutes the information compatible with the associated measurement operator, while the quantum part represents the quantum coherence of the state with respect to the measurement operator. Fundamental properties of the decomposition are revealed. As applications, we establish several trade-off relations for the classicality and quantumness in Born's probability, which may be interpreted as alternative realizations of Heisenberg's uncertainty principle. The results shed physical lights on related issues concerning quantification of complementarity, coherence, and uncertainty, as well as the classical-quantum interplay.
DOI	10.1103/PhysRevA.96.052126
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:000415671700006
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/26797
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. Classicality versus quantumness in Born's probability[J]. PHYSICAL REVIEW A,2017,96(5):6.
APA	Luo, Shunlong.(2017).Classicality versus quantumness in Born's probability.PHYSICAL REVIEW A,96(5),6.
MLA	Luo, Shunlong."Classicality versus quantumness in Born's probability".PHYSICAL REVIEW A 96.5(2017):6.