Heisenberg uncertainty relation for mixed states

doi:10.1103/PhysRevA.72.042110

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	Heisenberg uncertainty relation for mixed states
	Luo, SL
	2005-10-01
发表期刊	PHYSICAL REVIEW A
ISSN	1050-2947
卷号	72 期号:4 页码:3
摘要	The Heisenberg uncertainty relation sets a fundamental limit for quantum measurement of incompatible observables. Its standard form derived by Weyl and Robertson is of purely quantum nature when the state is pure. However, for mixed states, because the variance involving a mixed state is a hybrid of classical and quantum uncertainty, the conventional uncertainty relation is of a "mixed" flavor. It is desirable to seek some decomposition of variance into classical and quantum parts and to cast the Heisenberg uncertainty relation for mixed states in a more quantum form. By use of the skew information introduced by Wigner and Yanase in 1963, we make such an attempt and establish a different uncertainty relation which is stronger than the conventional one.
DOI	10.1103/PhysRevA.72.042110
语种	英语
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000232931800031
出版者	AMERICAN 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/1842
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. Heisenberg uncertainty relation for mixed states[J]. PHYSICAL REVIEW A,2005,72(4):3.
APA	Luo, SL.(2005).Heisenberg uncertainty relation for mixed states.PHYSICAL REVIEW A,72(4),3.
MLA	Luo, SL."Heisenberg uncertainty relation for mixed states".PHYSICAL REVIEW A 72.4(2005):3.