Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Michel, Ulrich UNSPECIFIED UNSPECIFIED UNSPECIFIED Kliesch, Martin UNSPECIFIED UNSPECIFIED UNSPECIFIED Kueng, Richard UNSPECIFIED UNSPECIFIED UNSPECIFIED Gross, David UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language Computer Science, Information Systems; Engineering, Electrical & Electronic Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/16835