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.
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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|Item Type:||Conference Paper|
|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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