%0 Journal Article
%T Boolean Functions, Projection Operators and Quantum Error Correcting Codes
%A Vaneet Aggarwal
%A A. Robert Calderbank
%J Mathematics
%D 2006
%I arXiv
%R 10.1109/TIT.2008.917720
%X This paper describes a fundamental correspondence between Boolean functions and projection operators in Hilbert space. The correspondence is widely applicable, and it is used in this paper to provide a common mathematical framework for the design of both additive and non-additive quantum error correcting codes. The new framework leads to the construction of a variety of codes including an infinite class of codes that extend the original ((5,6,2)) code found by Rains [21]. It also extends to operator quantum error correcting codes.
%U http://arxiv.org/abs/cs/0610159v3