Presentation 2000/5/12
A Search Algorithm for Bases of Quantum Error-Correcting Codes
Kin-ichiroh TOKIWA, Hatsukazu TANAKA,
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Abstract(in English) Recently, in order to explore the design of quantum burst-correcting codes, Vatan, Roy-chowdhury, and Anantram have presented two types of revised versions of the Calderbank-Shor-Steane code construction. They have also provided an exhaustive procedure for determining bases of quantum error-correcting codes. In this paper, we investigate their results, and point out that there is no essential difference between the revised versions by Vatan et al. In addition, we propose an efficient algorithm for searching for bases of quantum error-correcting codes. The proposed algorithm is based on some properties of classical linear codes, and has much lower complexity than Vatan et al.'procedure.
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Keyword(in English) Quantum error-correcting codes / basis / linear codes / cosets / syndrome / computer search
Paper # IT2000-4
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Committee IT
Conference Date 2000/5/12(1days)
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Registration To Information Theory (IT)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) A Search Algorithm for Bases of Quantum Error-Correcting Codes
Sub Title (in English)
Keyword(1) Quantum error-correcting codes
Keyword(2) basis
Keyword(3) linear codes
Keyword(4) cosets
Keyword(5) syndrome
Keyword(6) computer search
1st Author's Name Kin-ichiroh TOKIWA
1st Author's Affiliation Faculty of Engineering, Kobe University()
2nd Author's Name Hatsukazu TANAKA
2nd Author's Affiliation Faculty of Engineering, Kobe University
Date 2000/5/12
Paper # IT2000-4
Volume (vol) vol.100
Number (no) 65
Page pp.pp.-
#Pages 6
Date of Issue