Quantum uncertainty of mixed states based on skew information

doi:10.1103/PhysRevA.73.022324

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	Quantum uncertainty of mixed states based on skew information
	Luo, SL
	2006-02-01
发表期刊	PHYSICAL REVIEW A
ISSN	1050-2947
卷号	73 期号:2 页码:4
摘要	The uncertainty of a mixed state has two quite different origins: classical mixing and quantum randomness. While the classical aspect (mixedness) is significantly quantified by the von Neumann entropy, it seems that we still do not have a well accepted measure of quantum uncertainty. In terms of the skew information introduced by Wigner and Yanase in 1963 in the context of quantum measurements, we will propose an intrinsic measure for synthesizing quantum uncertainty of a mixed state and investigate its fundamental properties. We illustrate how it arises naturally from a naive hidden-variable approach to entanglement and how it exhibits a simple relation to the notion of negativity, which is an entanglement monotone introduced quite recently. We further show that it has a dramatic nonextensive feature resembling the probability law relating operations of two events. This measure of quantum uncertainty provides an alternative quantity complementary to the von Neumann entropy for studying mixedness and quantum correlations.
DOI	10.1103/PhysRevA.73.022324
语种	英语
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000235668100063
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/2552
专题	应用数学研究所
通讯作者	Luo, SL
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Luo, SL. Quantum uncertainty of mixed states based on skew information[J]. PHYSICAL REVIEW A,2006,73(2):4.
APA	Luo, SL.(2006).Quantum uncertainty of mixed states based on skew information.PHYSICAL REVIEW A,73(2),4.
MLA	Luo, SL."Quantum uncertainty of mixed states based on skew information".PHYSICAL REVIEW A 73.2(2006):4.