Concatenated Conjugate Codes
Mitsuru Hamada
TL;DR
This paper introduces a construction method for efficiently decodable conjugate code pairs, which are fundamental to CSS quantum codes and have applications in quantum cryptography.
Contribution
It presents a novel construction method for conjugate code pairs that are efficiently decodable, enhancing their practical utility in quantum error correction and cryptography.
Findings
Provides a new construction method for conjugate code pairs
Ensures efficient decodability of the constructed codes
Facilitates applications in quantum cryptography
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 code. It is known that conjugate code pairs are applicable to (quantum) cryptography. We give a construction method for efficiently decodable conjugate code pairs.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum-Dot Cellular Automata · Quantum Information and Cryptography