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
刊名	PHYSICAL REVIEW A
	2017-11-20
卷号	96 期号:5 页码:6
ISSN号	2469-9926
DOI	10.1103/PhysRevA.96.052126
英文摘要	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.
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000415671700006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26796]
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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.