Asymmetric Quantum Concatenated and Tensor Product Codes With Large <i>Z</i>-Distances
نویسندگان
چکیده
In this paper, we present a new construction of asymmetric quantum codes (AQCs) by combining classical concatenated (CCs) with tensor product (TPCs), called and (AQCTPCs) which have the following three advantages. First, only outer in AQCTPCs need to satisfy orthogonal constraint codes, any linear code can be used for inner, makes very easy construct. Second, most are highly degenerate, means they correct many more errors than their TPC counterparts. Consequently, construct several families AQCs better parameters known results literature. Third, efficiently decoded although provided that inner decodable. particular, significantly reduce decoding complexity TPCs from $\Omega(n_2a^{n_1})(a>1)$ $O(n_2)$ considering error degeneracy, where $n_1$ $n_2$ block length code, respectively. Furthermore, generalize our concatenation scheme using generalized CCs correspondingly.
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ژورنال
عنوان ژورنال: IEEE Transactions on Communications
سال: 2021
ISSN: ['1558-0857', '0090-6778']
DOI: https://doi.org/10.1109/tcomm.2021.3064566