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MORE CONSTRUCTIONS OF APPROXIMATELY MUTUALLY UNBIASED BASES
Published online by Cambridge University Press: 17 August 2015
Abstract
Let $m$ be a positive integer and
$p$ a prime number. We prove the orthogonality of some character sums over the finite field
$\mathbb{F}_{p^{m}}$ or over a subset of a finite field and use this to construct some new approximately mutually unbiased bases of dimension
$p^{m}$ over the complex number field
$\mathbb{C}$, especially with
$p=2$.
MSC classification
- Type
- Research Article
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- © 2015 Australian Mathematical Publishing Association Inc.
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