Title :
Additive Asymmetric Quantum Codes
Author :
Ezerman, Martianus Frederic ; Ling, San ; Solé, Patrick
Author_Institution :
Div. of Math. Sci., Nanyang Technol. Univ., Singapore, Singapore
Abstract :
We present a general construction of asymmetric quantum codes based on additive codes under the trace Hermitian inner product. Various families of additive codes over F4 are used in the construction of many asymmetric quantum codes over F4.
Keywords :
BCH codes; Hermitian matrices; quantum computing; quantum theory; BCH code; Hermitian inner product; additive asymmetric quantum code; circulant code; nested code; Additives; Arrays; Equations; Indexes; Linear code; Quantum mechanics; Vectors; 4-circulant codes; BCH codes; MacDonald codes; additive codes; circulant codes; extremal codes; nested codes; quantum Singleton bound; quantum codes; self-orthogonal codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2159040
