Boolean Functions, Projection Operators and Quantum Error Correcting Codes

Simple item page
dc.creatorAggarwal, Vaneet
dc.creatorCalderbank, A. Robert
dc.date2006-10-27
dc.date2007-09-24
dc.date.accessioned2026-07-07T13:03:28Z
dc.date.available2026-07-07T13:03:28Z
dc.descriptionThis 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.
dc.descriptionSubmitted to IEEE Transactions on Information Theory, October 2006, to appear in IEEE Transactions on Information Theory, 2008
dc.identifierhttps://arxiv.org/abs/cs/0610159
dc.identifierhttp://arxiv.org/abs/cs/0610159
dc.identifierIEEE Trans. Inf. Theory, vol. 54, no. 4, pp.1700-1707, Apr. 2008.
dc.identifierdoi:10.1109/TIT.2008.917720
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226814
dc.subjectInformation Theory
dc.subjectQuantum Physics
dc.titleBoolean Functions, Projection Operators and Quantum Error Correcting Codes
dc.typetext

Files

Collections

arXiv