Codes as Fractals and Noncommutative Spaces
نویسندگان
چکیده
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.
منابع مشابه
Fractals, coherent states and self-similarity induced noncommutative geometry∗
The self-similarity properties of fractals are studied in the framework of the theory of entire analytical functions and the q-deformed algebra of coherent states. Self-similar structures are related to dissipation and to noncommutative geometry in the plane. The examples of the Koch curve and logarithmic spiral are considered in detail. It is suggested that the dynamical formation of fractals ...
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ورودعنوان ژورنال:
- Mathematics in Computer Science
دوره 6 شماره
صفحات -
تاریخ انتشار 2012