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Fast Stabilizer Quantum Codes Using Pauli Block Matrices

ChenRrong Huang, Ying Guo, Moon-Ho Lee

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Abstract

Based on the fast block transform of Pauli matrices, we show how Pauli block matrix can simplify the coding theory of quantum error-correction. These SQCs are generated from some abelian subgroups of Pauli group that are composed of different rows of the yielded Pauli block matrix, and hence have advantages of being fast constructed with asymptotically good behaviors.

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What this paper is about

Based on the fast block transform of Pauli matrices, we show how Pauli block matrix can simplify the coding theory of quantum error-correction. These SQCs are generated from some abelian subgroups of Pauli group that are composed of different rows of the yielded Pauli block matrix, and hence have advantages of being fast constructed with asymptotically good behaviors.

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Available abstract

Based on the fast block transform of Pauli matrices, we show how Pauli block matrix can simplify the coding theory of quantum error-correction. These SQCs are generated from some abelian subgroups of Pauli group that are composed of different rows of the yielded Pauli block matrix, and hence have advantages of being fast constructed with asymptotically good behaviors.

Key concepts: Pauli exclusion principle, Pauli matrices, Abelian group, Block code, Mathematics, Quantum convolutional code, Block (permutation group theory), Physics

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