An informational characterization of Schrodinger's uncertainty relations

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	An informational characterization of Schrodinger's uncertainty relations
	Luo, SL; Zhang, ZM
	2004-03-01
发表期刊	JOURNAL OF STATISTICAL PHYSICS
ISSN	0022-4715
卷号	114 期号:5-6 页码:1557-1576
摘要	Heisenberg's uncertainty relations employ commutators of observables to set fundamental limits on quantum measurement. The information concerning incompatibility (non-commutativity) of observables is well included but that concerning correlation is missing. Schrodinger's uncertainty relations remedy this defect by supplementing the correlation in terms of anti-commutators. However, both Heisenberg's uncertainty relations and Schrodinger's uncertainty relations are expressed in terms of variances, which are not good measures of uncertainty in general situations ( e. g., when mixed states are involved). By virtue of the Wigner-Yanase skew information, we will establish an uncertainty relation along the spirit of Schrodinger from a statistical inference perspective and propose a conjecture. The result may be interpreted as a quantification of certain aspect of the celebrated Wigner - Araki - Yanase theorem for quantum measurement, which states that observables not commuting with a conserved quantity cannot be measured exactly.
关键词	quantum measurement uncertainty relations Fisher information skew information Wigner-Yanase correlation
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000188667000017
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19544
专题	应用数学研究所
通讯作者	Luo, SL
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
推荐引用方式 GB/T 7714	Luo, SL,Zhang, ZM. An informational characterization of Schrodinger's uncertainty relations[J]. JOURNAL OF STATISTICAL PHYSICS,2004,114(5-6):1557-1576.
APA	Luo, SL,&Zhang, ZM.(2004).An informational characterization of Schrodinger's uncertainty relations.JOURNAL OF STATISTICAL PHYSICS,114(5-6),1557-1576.
MLA	Luo, SL,et al."An informational characterization of Schrodinger's uncertainty relations".JOURNAL OF STATISTICAL PHYSICS 114.5-6(2004):1557-1576.