Upper bounds on the size of quantum codes

A. Ashikhmin; S. Litsyn

doi:10.1109/ISIT.1998.708956

Upper bounds on the size of quantum codes

A. Ashikhmin
, S. Litsyn

School of Electrical Engineering

Los Alamos National Laboratory

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

1 Scopus citations

Abstract

Upper bounds on the size of quantum error correcting codes are considered. We generalize the linear programming approach to the quantum case and obtain the Singleton, Hamming and first linear programming type bounds for quantum codes.

Original language	English
Title of host publication	Proceedings - 1998 IEEE International Symposium on Information Theory, ISIT 1998
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	351
Number of pages	1
ISBN (Print)	0780350006, 9780780350007
DOIs	https://doi.org/10.1109/ISIT.1998.708956
State	Published - 1998
Event	1998 IEEE International Symposium on Information Theory, ISIT 1998 - Cambridge, MA, United States Duration: 16 Aug 1998 → 21 Aug 1998

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
ISSN (Print)	2157-8095

Conference

Conference	1998 IEEE International Symposium on Information Theory, ISIT 1998
Country/Territory	United States
City	Cambridge, MA
Period	16/08/98 → 21/08/98

Access to Document

10.1109/ISIT.1998.708956

Cite this

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title = "Upper bounds on the size of quantum codes",

abstract = "Upper bounds on the size of quantum error correcting codes are considered. We generalize the linear programming approach to the quantum case and obtain the Singleton, Hamming and first linear programming type bounds for quantum codes.",

author = "A. Ashikhmin and S. Litsyn",

year = "1998",

doi = "10.1109/ISIT.1998.708956",

language = "אנגלית",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "Proceedings - 1998 IEEE International Symposium on Information Theory, ISIT 1998",

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Ashikhmin, A & Litsyn, S 1998, Upper bounds on the size of quantum codes. in Proceedings - 1998 IEEE International Symposium on Information Theory, ISIT 1998., 708956, IEEE International Symposium on Information Theory - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 351, 1998 IEEE International Symposium on Information Theory, ISIT 1998, Cambridge, MA, United States, 16/08/98. https://doi.org/10.1109/ISIT.1998.708956

Upper bounds on the size of quantum codes. / Ashikhmin, A.; Litsyn, S.
Proceedings - 1998 IEEE International Symposium on Information Theory, ISIT 1998. Institute of Electrical and Electronics Engineers Inc., 1998. p. 351 708956 (IEEE International Symposium on Information Theory - Proceedings).

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

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Upper bounds on the size of quantum codes

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