Construction of Asymmetric Quantum Product Codes Based Repeated-Root Cyclic Codes

Pan Yue Fu; Wei Liu

doi:10.4028/www.scientific.net/AMM.644-650.1668

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 644-650Construction of Asymmetric Quantum Product Codes...

Construction of Asymmetric Quantum Product Codes Based Repeated-Root Cyclic Codes

Abstract:

A kind of classical product codes based on repeated-root cyclic codes are considered in this paper, and the classical product codes are applied to construct the asymmetric quantum product codes. The novel asymmetric quantum product codes have great asymmetry for correcting Z errors and X errors, and the parameters of asymmetric quantum product codes can be precisely determined by the properties of the repeated-root cyclic codes and their dual codes. The examples show that these asymmetric quantum product codes based repeated-root cyclic codes are more efficient than some existent asymmetric quantum product codes.

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Periodical:

Applied Mechanics and Materials (Volumes 644-650)

Pages:

1668-1673

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.644-650.1668

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Online since:

September 2014

Authors:

Pan Yue Fu*, Wei Liu

Keywords:

Asymmetric Quantum Product Codes, Product Codes, Quantum Error Correcting Codes, Repeated Root Cyclic Codes

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