Constructions of approximately mutually unbiased bases

Authors:
Igor E. Shparlinski;Arne Winterhof
Affiliations:
Department of Computing, Macquarie University, Sydney, NSW, Australia;Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria
Venue:
LATIN'06 Proceedings of the 7th Latin American conference on Theoretical Informatics
Year:
2006

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Quantum Information & Computation

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Abstract

We construct systems of bases of ${\mathbb C}^{n}$ which are mutually almost orthogonal and which might turn out to be useful for quantum computation. Our constructions are based on bounds of classical exponential sums and exponential sums over elliptic curves.