CSpace  > 应用数学研究所
Partial coherence with application to the monotonicity problem of coherence involving skew information
Luo, Shunlong1; Sun, Yuan
2017-08-28
Source PublicationPHYSICAL REVIEW A
ISSN2469-9926
Volume96Issue:2Pages:5
AbstractQuantifications 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.
DOI10.1103/PhysRevA.96.022136
Language英语
Funding ProjectNational Natural Science Foundation of China[11375259]
WOS Research AreaOptics ; Physics
WOS SubjectOptics ; Physics, Atomic, Molecular & Chemical
WOS IDWOS:000408509600004
PublisherAMER PHYSICAL SOC
Citation statistics
Cited Times:14[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26523
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Luo, Shunlong]'s Articles
[Sun, Yuan]'s Articles
Baidu academic
Similar articles in Baidu academic
[Luo, Shunlong]'s Articles
[Sun, Yuan]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Luo, Shunlong]'s Articles
[Sun, Yuan]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.