Boolean functions, projection operators, and quantum error correcting codes

Journal Article (Journal Article)

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 nonadditive 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 et al It also extends to operator quantum error correcting codes. © 2008 IEEE.

Full Text

Duke Authors

Cited Authors

  • Aggarwal, V; Calderbank, AR

Published Date

  • April 1, 2008

Published In

Volume / Issue

  • 54 / 4

Start / End Page

  • 1700 - 1707

International Standard Serial Number (ISSN)

  • 0018-9448

Digital Object Identifier (DOI)

  • 10.1109/TIT.2008.917720

Citation Source

  • Scopus