Presentation 2020-01-24
Construction of Quantum Error Correcting Codes for Single Deletion Errors
Ayumu Nakayama, Manabu Hagiwara,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this paper, we discuss the construction of quantum error correcting codes for single deletion errors. To begin with, we define the single deletion errors for quantum states, encoding/decoding with two sets which consist of binary sequences, and two conditions for the sets. Secondly, we prove that the quantum single deletion error correcting codes are constructible by using two sets satisfying the conditions. At last, we show two instances of the sets which satisfy the conditions. Since any construction of quantum single deletion error correcting codes has not been known, this is the first paper to construct the codes.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Quantum error correcting codes / Quantum single deletion error / Deletion error correcting codes
Paper # IT2019-68,SIP2019-81,RCS2019-298
Date of Issue 2020-01-16 (IT, SIP, RCS)

Conference Information
Committee IT / SIP / RCS
Conference Date 2020/1/23(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Hiroshima City Youth Center
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Jun Muramatsu(NTT) / Naoyuki Aikawa(TUS) / Tomoaki Otsuki(Keio Univ.)
Vice Chair Tadashi Wadayama(Nagoya Inst. of Tech.) / Kazunori Hayashi(Osaka City Univ) / Yukihiro Bandou(NTT) / Satoshi Suyama(NTT DoCoMo) / Fumiaki Maehara(Waseda Univ.) / Toshihiko Nishimura(Hokkaido Univ.)
Secretary Tadashi Wadayama(Saga Univ.) / Kazunori Hayashi(Nagano Pref Inst. of Tech.) / Yukihiro Bandou(Hiroshima Univ.) / Satoshi Suyama(Hosei Univ.) / Fumiaki Maehara(NTT) / Toshihiko Nishimura(Kyushu Univ.)
Assistant Hideki Yagi(UEC) / Kenjiro Sugimoto(Waseda Univ.) / Kazushi Muraoka(NEC) / Shinsuke Ibi(Doshisha Univ.) / Koichi Adachi(Univ. of Electro-Comm.) / Osamu Nakamura(Sharp) / Manabu Sakai(Mitsubishi Electric)

Paper Information
Registration To Technical Committee on Information Theory / Technical Committee on Signal Processing / Technical Committee on Radio Communication Systems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Construction of Quantum Error Correcting Codes for Single Deletion Errors
Sub Title (in English)
Keyword(1) Quantum error correcting codes
Keyword(2) Quantum single deletion error
Keyword(3) Deletion error correcting codes
1st Author's Name Ayumu Nakayama
1st Author's Affiliation Chiba University(Chiba Univ.)
2nd Author's Name Manabu Hagiwara
2nd Author's Affiliation Chiba University(Chiba Univ.)
Date 2020-01-24
Paper # IT2019-68,SIP2019-81,RCS2019-298
Volume (vol) vol.119
Number (no) IT-376,SIP-377,RCS-378
Page pp.pp.185-189(IT), pp.185-189(SIP), pp.185-189(RCS),
#Pages 5
Date of Issue 2020-01-16 (IT, SIP, RCS)