云亭数学讲坛2022第48讲——闫统江教授

文章来源:数学与统计学院发布日期:2022-07-24浏览次数:224

应学院邀请,杰出校友、华东石油大学闫统江教授将在线作学术报告。

报告题目:Some New Entanglement-Assisted Quantum Maximum-Distance-Separable Codes from Constacyclic Codes

报告摘要:Entanglement-assisted quantum error-correcting codes (EAQECCs) play an important role in protecting quantum information from decoherence and quantum noise. Since their construction do not require the dual-containing constraint necessary for standard quantum error-correcting codes, many researchers are attracted to construct EAQECCs with good parameters or entanglement-assisted quantum maximum-distance-separable (EAQMDS) codes with flexible parameters. But most of these codes have a small number of entangled states c or have c with little flexibility. Inspired by these work, through a new idea to present the defining set and a new proof technology with non-orthogonal coset pairs, we construct a new family EAQMDS codes with larger minimum distance and larger flexible entangled states c. These EAQMDS codes are new in the sense that they have new parameters with odd k,d and even c, which differ completely from all the previous EAQMDS codes (even k,d and odd c) with the same length. Moreover, for a special case, these codes are quantum maximum-distance-separable (QMDS) codes with parameters [[(n,n-2d+2,d]] which are equivalent to the QMDS codes from negacyclic codes given by Kai and Zhu (IEEE Transactions on Information Theory, Vol. 59, No. 2, pp. 1193-1197).

报告时间:202272510:00

报告地点:腾讯会议号310 100 671

邀 请 人:杜小妮 教授

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报告人简介

闫统江,男,中国石油大学(华东)教授,博士生导师,理学院副院长、中国工业与应用数学学会密码与编码专委会委员、中国密码学会密码算法专委会委员、山东省工业与应用数学会副会长、山东省教学指导委员会委员。目前主要从事序列密码、代数编码、基于区块链的联邦学习等方面的研究工作。主持和完成国家自然科学基金面上项目等省部级以上科研项目10项,在DCCCCDSIEEE Communication LetterInformation Sciences等发表高水平研究论文80余篇,主持省级重点教学改革项目1项,编写规划教材4部,获得省级教学成果特等奖等多项奖励。