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A new approach to codeword stabilized quantum codes using the algebraic structure of modules

2015/05/01 by Douglas Frederico Guimarães Santiago, Santiago, Douglas Frederico Guimarães, Geraldo Samuel Sena Otoni +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum-Dot Cellular Automata #quant-ph

paper · pdf · doi:10.48550/arxiv.1505.00283

7 pages

arxiv created 2015/05/01 · openalex publication_date 2015/05/01 · arxiv updated 2015/05/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

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