Mutually unbiased bases as submodules and subspaces

Hall, Joanne L. & Stovicek, Jan (2012) Mutually unbiased bases as submodules and subspaces. In (Ed.) Proceedings of IEEE International Symposium on Information Theory, IEEE, Massachusetts Institute of Technology, Boston, MA, 905 -909.

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Abstract

Mutually unbiased bases (MUBs) have been used in several cryptographic and communications applications. There has been much speculation regarding connections between MUBs and finite geometries. Most of which has focused on a connection with projective and affine planes. We propose a connection with higher dimensional projective geometries and projective Hjelmslev geometries. We show that this proposed geometric structure is present in several constructions of MUBs.

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ID Code: 58444
Item Type: Conference Paper
Refereed: Yes
DOI: 10.1109/ISIT.2012.6284693
ISBN: 978-1-4673-2580-6
ISSN: 2157-8095
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Algebra and Number Theory (010101)
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > DATA FORMAT (080400) > Coding and Information Theory (080401)
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2012 IEEE
Deposited On: 20 Mar 2013 00:41
Last Modified: 04 Apr 2013 03:36

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