fisherinformationofwavefunctionsclassicalandquantum

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	fisherinformationofwavefunctionsclassicalandquantum
	Luo Shunlong
	2006
发表期刊	chinesephysicsletters
ISSN	0256-307X
卷号	23 期号:12 页码:3127
摘要	A parametric quantum mechanical wavefunction naturally induces parametric probability distributions by taking absolute square, and we can consider its classical Fisher information. On the other hand, it also induces parametric rank-one projections which may be viewed as density operators, and we can talk about its quantum Fisher information. Among many versions of quantum Fisher information, there are two prominent ones. The first, defined via a quantum score function, was introduced by Helstrom in 1967 and is well known. The second, defined via the square root of the density operator, has its origin in the skew information introduced by Wigner and Yanase in 1963 and remains relatively unnoticed. This study is devoted to investigating the relationships between the classical Fisher informations and these two versions of quantum Fisher information for wavefunctions. It is shown that the two versions of quantum Fisher information differ by a factor 2 and that they dominate the classical Fisher information. The non-coincidence of these two versions of quantum Fisher information may be interpreted as a manifestation of quantum discord. We further calculate the difference between the Helstrom quantum Fisher information and the classical Fisher information, and show that it is precisely the instantaneous phase fluctuation of the wavefunctions.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/41783
专题	应用数学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Luo Shunlong. fisherinformationofwavefunctionsclassicalandquantum[J]. chinesephysicsletters,2006,23(12):3127.
APA	Luo Shunlong.(2006).fisherinformationofwavefunctionsclassicalandquantum.chinesephysicsletters,23(12),3127.
MLA	Luo Shunlong."fisherinformationofwavefunctionsclassicalandquantum".chinesephysicsletters 23.12(2006):3127.