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检索条件"主题词=entanglement-assisted quantum error-correcting code"
11 条 记 录,以下是1-10 订阅
High-Rate quantum Low-Density Parity-Check codes assisted by Reliable Qubits
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IEEE TRANSACTIONS ON INFORMATION THEORY 2015年 第4期61卷 1860-1878页
作者: Fujiwara, Yuichiro Gruner, Alexander Vandendriessche, Peter CALTECH Div Phys Math & Astron Pasadena CA 91125 USA Mercedes Benz Bank AG D-70469 Stuttgart Germany Univ Ghent Dept Math B-9000 Ghent Belgium
quantum error correction is an important building block for reliable quantum information processing. A challenging hurdle in the theory of quantum error correction is that it is significantly more difficult to design ... 详细信息
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Linear codes with arbitrary dimensional hull and their applications to EAQECCs
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quantum INFORMATION PROCESSING 2022年 第2期21卷 1-30页
作者: Sok, Lin Qian, Gang Anhui Univ Sch Math Sci Hefei 230601 Peoples R China
The Euclidean hull dimension of a linear code is an important quantity to determine the parameters of an entanglement-assisted quantum error-correcting code (EAQECC) if the Euclidean construction is applied. In this p... 详细信息
来源: 评论
entanglement-assisted quantum codes from arbitrary binary linear codes
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DESIGNS codeS AND CRYPTOGRAPHY 2015年 第1期77卷 193-202页
作者: Qian, Jianfa Zhang, Lina Anhui Univ Sci & Technol Coll Sci Huainan 232007 Peoples R China
It is possible to construct an entanglement-assisted quantum error-correcting (EAQEC, for short) code from any classical linear code. However, the parameter of ebits is usually calculated by computer search. In this w... 详细信息
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On Linear codes With One-Dimensional Euclidean Hull and Their Applications to EAQECCs
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IEEE TRANSACTIONS ON INFORMATION THEORY 2022年 第7期68卷 4329-4343页
作者: Sok, Lin Anhui Univ Sch Math Sci Hefei 230601 Anhui Peoples R China
The Euclidean hull of a linear code C is the intersection of C with its Euclidean dual C-perpendicular to. The hull with low dimensions gets much interest due to its crucial role in determining the complexity of algor... 详细信息
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A new construction of linear codes with one-dimensional hull
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DESIGNS codeS AND CRYPTOGRAPHY 2022年 第12期90卷 2823-2839页
作者: Sok, Lin Anhui Univ Sch Math Sci Hefei 230601 Anhui Peoples R China Royal Univ Phnom Penh Dept Math Phnom Penh 12156 Cambodia
The hull of a linear code C is the intersection of C with its dual C-perpendicular to. The hull with low dimensions gets much interest due to its crucial role in determining the complexity of algorithms for computing ... 详细信息
来源: 评论
On symplectic hulls of linear codes and related applications
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JOURNAL OF APPLIED MATHEMATICS AND COMPUTING 2024年 第3期70卷 2603-2622页
作者: Li, Yang Zhu, Shixin Hefei Univ Technol Sch Math Hefei 230601 Anhui Peoples R China
This paper investigates symplectic hulls of linear codes. We use a different view to obtain more structural properties of generator matrices with respect to the symplectic inner product. As an outgrowth, generalized f... 详细信息
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On the Construction of Hermitian Self-Orthogonal codes Over F9 and Their Application
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INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 2024年 第9期63卷 1-17页
作者: Li, Zhihao Li, Ruihu Guan, Chaofeng Song, Hao Air Force Engn Univ Fundamentals Dept Xian 710051 Shaanxi Peoples R China Henan Key Lab Network Cryptog Technol Zhengzhou 450001 Henan Peoples R China
We construct a lot of optimal or near-optimal [n, k, d](9 )Hermitian self-orthogonal codes for k <= 3 using norm codes and matrix combinatorial construction method. As an application, we construct nine families of ... 详细信息
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Two Class of entanglement-assisted quantum codes from Shortened Hamming codes
Two Class of Entanglement-Assisted Quantum Codes from Shorte...
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IEEE International Conference on Signal and Image Processing (ICSIP)
作者: Qian, Jianfa Zhang, Lina Huizhou Univ Dept Math Huizhou 516007 Guangdong Peoples R China
entanglement-assisted quantum error-correcting codes are not only theoretically interesting, but also of great importance in practical physically applications. In this work, two class of entanglement-assisted quantum ... 详细信息
来源: 评论
σ-LCD codes over finite chain rings
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DESIGNS codeS AND CRYPTOGRAPHY 2020年 第4期88卷 727-746页
作者: Liu, Xiusheng Liu, Hualu Hubei Polytech Univ Sch Math & Phys Huangshi 435003 Hubei Peoples R China Hubei Univ Technol Sch Sci Wuhan 430068 Hubei Peoples R China
In this work, we first generalize the sigma-LCD codes over finite fields to sigma-LCD codes over finite chain rings. Under suitable conditions, linear codes over finite chain rings that are sigma-LCD codes are charact... 详细信息
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Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes
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quantum INFORMATION PROCESSING 2022年 第9期21卷 318-318页
作者: Wang, Liqi Wang, Pan Zhu, Shixin Hefei Univ Technol Sch Math Hefei 230601 Peoples R China
entanglement-assisted quantum error-correcting codes as a generalization of stabilizer quantum error-correcting (QEC) codes can improve the performance of stabilizer QEC codes and can be constructed from arbitrary cla... 详细信息
来源: 评论