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International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings., 2004
We construct maximum distance separable quantum error-correcting codes. The codes are defined over q-dimensional quantum systems, where q is any prime power. The construction yields quantum MDS codes of length up to q+1 for all possible dimensions and some quantum MDS codes of length up to q2+1.
Rötteler, M., Grassl, M., Beth, T.
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We construct maximum distance separable quantum error-correcting codes. The codes are defined over q-dimensional quantum systems, where q is any prime power. The construction yields quantum MDS codes of length up to q+1 for all possible dimensions and some quantum MDS codes of length up to q2+1.
Rötteler, M., Grassl, M., Beth, T.
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Frontiers of Computer Science in China, 2008
Quantum error correcting codes are indispensable for quantum information processing and quantum computation. In 1995 and 1996, Shor and Steane gave first several examples of quantum codes from classical error correcting codes. The construction of efficient quantum codes is now an active multi-discipline research field. In this paper we review the known
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Quantum error correcting codes are indispensable for quantum information processing and quantum computation. In 1995 and 1996, Shor and Steane gave first several examples of quantum codes from classical error correcting codes. The construction of efficient quantum codes is now an active multi-discipline research field. In this paper we review the known
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On quantum information and the protection by quantum codes
Proceedings of the 11th International Conference on Computer Systems and Technologies and Workshop for PhD Students in Computing on International Conference on Computer Systems and Technologies, 2010In this paper we consider some facts about quantum information, quantum computing and some problems in quantum coding theory. Also, we present an algorithm for constructing linear self-orthogonal codes with good parameters. By this algorithm we construct self-orthogonal codes used to prove the existence of some quantum codes.
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From Quantum Code-making to Quantum Code-breaking
1998Abstract Human desire to communicate secretly is at least as old as writing itself and goes back to the beginnings of our civilisation. Methods of secret communication were developed by many ancient societies, including those of Mesopotamia, Egypt, India, and China, but details regarding the origins of cryptology remain unknown (Kahn ...
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Polar Codes and Their Quantum-Domain Counterparts
IEEE Communications Surveys and Tutorials, 2020Zunaira Babar +2 more
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2019
Bu çalışmada,u2=1,v3=v ,uv=vu,q=pm ve p tek asal sayı olmak üzere R=Fq+uFq +vFq+uvFq+v2Fq+uv2Fq halkası üzerindeki devirli kodlar kullanılarak Fq üzerindeki kuantum kodlar elde edildi. Ayrıca, Fq üzerindeki kuantum kodların parametreleri belirlendi.
DERTLİ, Abdullah +1 more
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Bu çalışmada,u2=1,v3=v ,uv=vu,q=pm ve p tek asal sayı olmak üzere R=Fq+uFq +vFq+uvFq+v2Fq+uv2Fq halkası üzerindeki devirli kodlar kullanılarak Fq üzerindeki kuantum kodlar elde edildi. Ayrıca, Fq üzerindeki kuantum kodların parametreleri belirlendi.
DERTLİ, Abdullah +1 more
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Duality of Quantum and Classical Error Correction Codes: Design Principles and Examples
IEEE Communications Surveys and Tutorials, 2019Zunaira Babar +2 more
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Nonbinary quantum stabilizer codes
IEEE Transactions on Information Theory, 2001A Ashikhmin, E Knill
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