Uncertainty Principle for Quantum Channels

Li Gao, Marius Junge, Nicholas Laracuente

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

Abstract

We extend the quantum entropic uncertainty principle beyond measurements, to a pair of finite-dimensional quantum channels acting on the same input system. This also generalizes strong super-additivity inequality by giving a lower bound on generalizations of conditional mutual information. Moreover we show that the corresponding 'squashed' conditional mutual information is additive in this general setting.

Original languageEnglish (US)
Title of host publication2018 IEEE International Symposium on Information Theory, ISIT 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages996-1000
Number of pages5
ISBN (Print)9781538647806
DOIs
StatePublished - Aug 15 2018
Event2018 IEEE International Symposium on Information Theory, ISIT 2018 - Vail, United States
Duration: Jun 17 2018Jun 22 2018

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2018-June
ISSN (Print)2157-8095

Other

Other2018 IEEE International Symposium on Information Theory, ISIT 2018
CountryUnited States
CityVail
Period6/17/186/22/18

Fingerprint

Quantum Channel
Uncertainty Principle
Mutual Information
Superadditivity
Lower bound
Generalise
Uncertainty
Generalization

ASJC Scopus subject areas

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

Cite this

Gao, L., Junge, M., & Laracuente, N. (2018). Uncertainty Principle for Quantum Channels. In 2018 IEEE International Symposium on Information Theory, ISIT 2018 (pp. 996-1000). [8437730] (IEEE International Symposium on Information Theory - Proceedings; Vol. 2018-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2018.8437730

Uncertainty Principle for Quantum Channels. / Gao, Li; Junge, Marius; Laracuente, Nicholas.

2018 IEEE International Symposium on Information Theory, ISIT 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 996-1000 8437730 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2018-June).

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

Gao, L, Junge, M & Laracuente, N 2018, Uncertainty Principle for Quantum Channels. in 2018 IEEE International Symposium on Information Theory, ISIT 2018., 8437730, IEEE International Symposium on Information Theory - Proceedings, vol. 2018-June, Institute of Electrical and Electronics Engineers Inc., pp. 996-1000, 2018 IEEE International Symposium on Information Theory, ISIT 2018, Vail, United States, 6/17/18. https://doi.org/10.1109/ISIT.2018.8437730
Gao L, Junge M, Laracuente N. Uncertainty Principle for Quantum Channels. In 2018 IEEE International Symposium on Information Theory, ISIT 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 996-1000. 8437730. (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2018.8437730
Gao, Li ; Junge, Marius ; Laracuente, Nicholas. / Uncertainty Principle for Quantum Channels. 2018 IEEE International Symposium on Information Theory, ISIT 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 996-1000 (IEEE International Symposium on Information Theory - Proceedings).
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