Codes as fractals and noncommutative spaces

Details Codes as fractals and noncommutative spaces Codes as fractals and noncommutative spaces

2011-07-28

arxiv.org/abs/1107.5782v1

Computer Science

Information Theory

18 pages LaTeX, one png figure

Scientific paper

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.

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