Operator algebra approach to quantum capacities

Li Gao, Marius Junge, Nicholas Laracuente

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Using a suitable algebraic setup, we find new estimates of the quantum capacity and the potential quantum capacity for non-degradable channels obtained by random unitaries associated with a finite group. This approach can be generalized to quantum groups and uses new tools from operator algebras and interpolation of Rényi-type entropies. As an application, we obtain new estimates for the depolarizing channel in high dimension.

Original languageEnglish (US)
Title of host publicationProceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1695-1699
Number of pages5
ISBN (Electronic)9781509018062
DOIs
StatePublished - Aug 10 2016
Event2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain
Duration: Jul 10 2016Jul 15 2016

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2016-August
ISSN (Print)2157-8095

Other

Other2016 IEEE International Symposium on Information Theory, ISIT 2016
CountrySpain
CityBarcelona
Period7/10/167/15/16

Fingerprint

Operator Algebras
Algebra
Mathematical operators
Interpolation
Entropy
Quantum Groups
Estimate
Higher Dimensions
Finite Group
Interpolate

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

Cite this

Gao, L., Junge, M., & Laracuente, N. (2016). Operator algebra approach to quantum capacities. In Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory (pp. 1695-1699). [7541588] (IEEE International Symposium on Information Theory - Proceedings; Vol. 2016-August). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2016.7541588

Operator algebra approach to quantum capacities. / Gao, Li; Junge, Marius; Laracuente, Nicholas.

Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Institute of Electrical and Electronics Engineers Inc., 2016. p. 1695-1699 7541588 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2016-August).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gao, L, Junge, M & Laracuente, N 2016, Operator algebra approach to quantum capacities. in Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory., 7541588, IEEE International Symposium on Information Theory - Proceedings, vol. 2016-August, Institute of Electrical and Electronics Engineers Inc., pp. 1695-1699, 2016 IEEE International Symposium on Information Theory, ISIT 2016, Barcelona, Spain, 7/10/16. https://doi.org/10.1109/ISIT.2016.7541588
Gao L, Junge M, Laracuente N. Operator algebra approach to quantum capacities. In Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Institute of Electrical and Electronics Engineers Inc. 2016. p. 1695-1699. 7541588. (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2016.7541588
Gao, Li ; Junge, Marius ; Laracuente, Nicholas. / Operator algebra approach to quantum capacities. Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 1695-1699 (IEEE International Symposium on Information Theory - Proceedings).
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