'Pretty strong' converse for the private capacity of degraded quantum wiretap channels

Andreas Winter

doi:10.1109/ISIT.2016.7541821

'Pretty strong' converse for the private capacity of degraded quantum wiretap channels

Andreas Winter

Universitat Autònoma de Barcelona (UAB)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

In the vein of the recent 'pretty strong' converse for the quantum and private capacity of degradable quantum channels [Morgan/Winter, IEEE Trans. Inf. Theory 60(1):317- 333, 2014], we use the same techniques, in particular the calculus of min-entropies, to show a pretty strong converse for the private capacity of degraded classical-quantum-quantum (cqq-)wiretap channels, which generalize Wyner's model of the degraded classical wiretap channel. While the result is not completely tight, leaving some gap between the region of error and privacy parameters for which the converse bound holds, and a larger no-go region, it represents a further step towards an understanding of strong converses of wiretap channels [cf. Hayashi/Tyagi/Watanabe, arXiv:1410.0443 for the classical case].

Original language	English
Title of host publication	Proceedings - 2016 IEEE International Symposium on Information Theory, ISIT 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2858-2862
Number of pages	5
ISBN (Electronic)	9781509018062
DOIs	https://doi.org/10.1109/ISIT.2016.7541821
State	Published - 10 Aug 2016
Externally published	Yes
Event	2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain Duration: 10 Jul 2016 → 15 Jul 2016

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2016-August
ISSN (Electronic)	2157-8117

Conference

Conference	2016 IEEE International Symposium on Information Theory, ISIT 2016
Country/Territory	Spain
City	Barcelona
Period	10/07/16 → 15/07/16

Keywords

private capacity
quantum information
smooth min-entropies
strong converse

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10.1109/ISIT.2016.7541821

Cite this

Winter, A. (2016). 'Pretty strong' converse for the private capacity of degraded quantum wiretap channels. In Proceedings - 2016 IEEE International Symposium on Information Theory, ISIT 2016 (pp. 2858-2862). Article 7541821 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2016-August). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2016.7541821

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title = "'Pretty strong' converse for the private capacity of degraded quantum wiretap channels",

abstract = "In the vein of the recent 'pretty strong' converse for the quantum and private capacity of degradable quantum channels [Morgan/Winter, IEEE Trans. Inf. Theory 60(1):317- 333, 2014], we use the same techniques, in particular the calculus of min-entropies, to show a pretty strong converse for the private capacity of degraded classical-quantum-quantum (cqq-)wiretap channels, which generalize Wyner's model of the degraded classical wiretap channel. While the result is not completely tight, leaving some gap between the region of error and privacy parameters for which the converse bound holds, and a larger no-go region, it represents a further step towards an understanding of strong converses of wiretap channels [cf. Hayashi/Tyagi/Watanabe, arXiv:1410.0443 for the classical case].",

keywords = "private capacity, quantum information, smooth min-entropies, strong converse",

author = "Andreas Winter",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE International Symposium on Information Theory, ISIT 2016 ; Conference date: 10-07-2016 Through 15-07-2016",

year = "2016",

month = aug,

day = "10",

doi = "10.1109/ISIT.2016.7541821",

language = "English",

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Winter, A 2016, 'Pretty strong' converse for the private capacity of degraded quantum wiretap channels. in Proceedings - 2016 IEEE International Symposium on Information Theory, ISIT 2016., 7541821, IEEE International Symposium on Information Theory - Proceedings, vol. 2016-August, Institute of Electrical and Electronics Engineers Inc., pp. 2858-2862, 2016 IEEE International Symposium on Information Theory, ISIT 2016, Barcelona, Spain, 10/07/16. https://doi.org/10.1109/ISIT.2016.7541821

'Pretty strong' converse for the private capacity of degraded quantum wiretap channels. / Winter, Andreas.
Proceedings - 2016 IEEE International Symposium on Information Theory, ISIT 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 2858-2862 7541821 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2016-August).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Winter, Andreas

PY - 2016/8/10

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N2 - In the vein of the recent 'pretty strong' converse for the quantum and private capacity of degradable quantum channels [Morgan/Winter, IEEE Trans. Inf. Theory 60(1):317- 333, 2014], we use the same techniques, in particular the calculus of min-entropies, to show a pretty strong converse for the private capacity of degraded classical-quantum-quantum (cqq-)wiretap channels, which generalize Wyner's model of the degraded classical wiretap channel. While the result is not completely tight, leaving some gap between the region of error and privacy parameters for which the converse bound holds, and a larger no-go region, it represents a further step towards an understanding of strong converses of wiretap channels [cf. Hayashi/Tyagi/Watanabe, arXiv:1410.0443 for the classical case].

AB - In the vein of the recent 'pretty strong' converse for the quantum and private capacity of degradable quantum channels [Morgan/Winter, IEEE Trans. Inf. Theory 60(1):317- 333, 2014], we use the same techniques, in particular the calculus of min-entropies, to show a pretty strong converse for the private capacity of degraded classical-quantum-quantum (cqq-)wiretap channels, which generalize Wyner's model of the degraded classical wiretap channel. While the result is not completely tight, leaving some gap between the region of error and privacy parameters for which the converse bound holds, and a larger no-go region, it represents a further step towards an understanding of strong converses of wiretap channels [cf. Hayashi/Tyagi/Watanabe, arXiv:1410.0443 for the classical case].

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KW - quantum information

KW - smooth min-entropies

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'Pretty strong' converse for the private capacity of degraded quantum wiretap channels

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