Partial coherence with application to the monotonicity problem of coherence involving skew information

doi:10.1103/PhysRevA.96.022136

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	Partial coherence with application to the monotonicity problem of coherence involving skew information
	Luo, Shunlong1 ; Sun, Yuan
	2017-08-28
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	96 期号:2 页码:5
摘要	Quantifications of coherence are intensively studied in the context of completely decoherent operations (i.e., von Neuamnn measurements, or equivalently, orthonormal bases) in recent years. Here we investigate partial coherence (i.e., coherence in the context of partially decoherent operations such as Luders measurements). A bona fide measure of partial coherence is introduced. As an application, we address the monotonicity problem of K-coherence (a quantifier for coherence in terms of Wigner-Yanase skew information) [Girolami, Phys. Rev. Lett. 113, 170401 (2014)], which is introduced to realize a measure of coherence as axiomatized by Baumgratz, Cramer, and Plenio [Phys. Rev. Lett. 113, 140401 (2014)]. Since K-coherence fails to meet the necessary requirement of monotonicity under incoherent operations, it is desirable to remedy this monotonicity problem. We show that if we modify the original measure by taking skew information with respect to the spectral decomposition of an observable, rather than the observable itself, as a measure of coherence, then the problem disappears, and the resultant coherence measure satisfies the monotonicity. Some concrete examples are discussed and related open issues are indicated.
DOI	10.1103/PhysRevA.96.022136
语种	英语
资助项目	National Natural Science Foundation of China[11375259]
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000408509600004
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/26523
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong,Sun, Yuan. Partial coherence with application to the monotonicity problem of coherence involving skew information[J]. PHYSICAL REVIEW A,2017,96(2):5.
APA	Luo, Shunlong,&Sun, Yuan.(2017).Partial coherence with application to the monotonicity problem of coherence involving skew information.PHYSICAL REVIEW A,96(2),5.
MLA	Luo, Shunlong,et al."Partial coherence with application to the monotonicity problem of coherence involving skew information".PHYSICAL REVIEW A 96.2(2017):5.