2011/07/28 by Matilde Marcolli, Marcolli, Matilde, Christopher Perez +1
Computer Science · Mathematics · #Algebraic structures and combinatorial models #Computability, Logic, AI Algorithms #FOS: Computer and information sciences #Information Theory (cs.IT) #Quantum Computing Algorithms and Architecture #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1107.5782
18 pages LaTeX, one png figure
arxiv created 2011/07/28 · openalex publication_date 2011/07/28 · arxiv updated 2011/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the CSS algorithm relating self-orthogonal classical linear codes to q-ary quantum stabilizer codes and we show that to such a pair of a classical and a quantum code one can associate geometric spaces constructed using methods from noncommutative geometry, arising from rational noncommutative tori and finite abelian group actions on Cuntz algebras and fractals associated to the classical codes.