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Comments on "Improving Compressed Sensing With the Diamond Norm"-Saturation of the Norm Inequalities Between Diamond and Nuclear Norm
Publikationstyp
Review Article
Date Issued
2018-11
Sprache
English
Volume
64
Issue
11
Start Page
7443
End Page
7445
Article Number
8424239
Citation
IEEE Transactions on Information Theory 64 (11): 8424239 (2018-11)
Publisher DOI
Scopus ID
The diamond norm plays an important role in quantum information and operator theory. Recently, it has also been proposed as a regularizer for low-rank matrix recovery. The norm constants that bound the diamond norm in terms of the nuclear norm (also known as trace norm) are explicitly known. This paper provides a simple characterization of all operators saturating the upper and lower bounds.