Michel, Ulrich, Kliesch, Martin, Kueng, Richard and Gross, David (2018). Improving Compressed Sensing With the Diamond Norm-Saturation of the Norm Inequalities Between Diamond and Nuclear Norm. IEEE Trans. Inf. Theory, 64 (11). S. 7443 - 7446. PISCATAWAY: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC. ISSN 1557-9654

Full text not available from this repository.

Abstract

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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Michel, UlrichUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kliesch, MartinUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kueng, RichardUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Gross, DavidUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-168355
DOI: 10.1109/TIT.2018.2861887
Journal or Publication Title: IEEE Trans. Inf. Theory
Volume: 64
Number: 11
Page Range: S. 7443 - 7446
Date: 2018
Publisher: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Place of Publication: PISCATAWAY
ISSN: 1557-9654
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
Computer Science, Information Systems; Engineering, Electrical & ElectronicMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/16835

Downloads

Downloads per month over past year

Altmetric

Export

Actions (login required)

View Item View Item