Boolean Functions, Projection Operators and Quantum Error Correcting Codes
信息论
2009-04-14 v3 math.IT
量子物理
摘要
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.
引用
@article{arxiv.cs/0610159,
title = {Boolean Functions, Projection Operators and Quantum Error Correcting Codes},
author = {Vaneet Aggarwal and A. Robert Calderbank},
journal= {arXiv preprint arXiv:cs/0610159},
year = {2009}
}
备注
Submitted to IEEE Transactions on Information Theory, October 2006, to appear in IEEE Transactions on Information Theory, 2008