Constructive Conjugate Codes for Quantum Error Correction and Cryptography

Details Constructive Conjugate Codes for Quantum Error Correction and Cryptography Constructive Conjugate Codes for Quantum Error Correction and Cryptography

2007-03-28

arxiv.org/abs/cs/0703141v2

Computer Science

Information Theory

10 pages, 1 figure. Ver.2: statement in Theorem 7.1 was revised to a more general one, which the proof (unchanged except a cou

Scientific paper

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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