Constructive Conjugate Codes for Quantum Error Correction and Cryptography

Mitsuru Hamada

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arXiv · cs/0703141

Constructive Conjugate Codes for Quantum Error Correction and Cryptography

Mitsuru Hamada

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Abstract

A conjugate code pair is defined as a pair of linear codes either of which contains the dual of the other. A conjugate code pair represents the essential structure of the corresponding Calderbank-Shor-Steane (CSS) quantum error-correcting code. It is known that conjugate code pairs are applicable to quantum cryptography. In this work, a polynomial construction of conjugate code pairs is presented. The constructed pairs achieve the highest known achievable rate on additive channels, and are decodable with algorithms of polynomial complexity.

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Mitsuru Hamada. 2007-03-29. Constructive Conjugate Codes for Quantum Error Correction and Cryptography. https://arxiv.org/abs/cs/0703141

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