A new approach to codeword stabilized quantum codes using the algebraic structure of modules
Douglas Frederico Guimar\~aes Santiago, Geraldo Samuel Sena Otoni
TL;DR
This paper introduces a novel algebraic module-based approach to codeword stabilized quantum codes, expanding the theoretical framework and relating them to stabilizer codes.
Contribution
It presents a new algebraic method for analyzing CWS codes and establishes a connection with stabilizer codes, broadening the understanding of quantum error correction.
Findings
Established a relationship between CWS and stabilizer codes
Developed an algebraic module framework for CWS codes
Generalized existing results in quantum coding theory
Abstract
In this work, we study the Codeword Stabilized Quantum Codes (CWS codes) a generalization of the stabilizers quantum codes using a new approach, the algebraic structure of modules, a generalization of linear spaces. We show then a new result that relates CWS codes with stabilizer codes generalizing results in the literature.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum-Dot Cellular Automata