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MORE CONSTRUCTIONS OF APPROXIMATELY MUTUALLY UNBIASED BASES
Part of
- Finite fields and commutative rings (number-theoretic aspects)
XIWANG CAO, WUN-SENG CHOU
Journal:

Bulletin of the Australian Mathematical Society / Volume 93 / Issue 2 / April 2016

Published online by Cambridge University Press:

17 August 2015, pp. 211-222

Print publication:

April 2016
- Article
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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 $p=2$.