In this letter, we proposed a new family of graphical quantum stabilizer codes (QSCs) based on block Jacket transform and its fast construction approach. The approach provides great flexibility in designing a stabilizer with a large block length and a high efficiency in terms of recursive relations. According to the graph theory, the present quantum code construction method has a low coding complexity and the codes are asymptotically good.
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Univ Jaume 1, Inst Univ Matemat & Aplicac Castellon, Campus Riu Sec, Castellon de La Plana 12071, Spain
Univ Jaume 1, Dept Matemat, Campus Riu Sec, Castellon de La Plana 12071, SpainUniv Jaume 1, Inst Univ Matemat & Aplicac Castellon, Campus Riu Sec, Castellon de La Plana 12071, Spain
Galindo, Carlos
Hernando, Fernando
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Univ Jaume 1, Inst Univ Matemat & Aplicac Castellon, Campus Riu Sec, Castellon de La Plana 12071, Spain
Univ Jaume 1, Dept Matemat, Campus Riu Sec, Castellon de La Plana 12071, SpainUniv Jaume 1, Inst Univ Matemat & Aplicac Castellon, Campus Riu Sec, Castellon de La Plana 12071, Spain
Hernando, Fernando
Matsumoto, Ryutaroh
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Nagoya Univ, Dept Informat & Commun Engn, Nagoya, Aichi 4648603, JapanUniv Jaume 1, Inst Univ Matemat & Aplicac Castellon, Campus Riu Sec, Castellon de La Plana 12071, Spain
机构:
Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R China
Tsinghua Univ, Grad Sch Shenzhen, Shenzhen 518055, Peoples R ChinaNankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
Fang, Weijun
Fu, Fang-Wei
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Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R ChinaNankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China