Circulant Matrices, Gauss Sums and Mutually Unbiased Bases, I. The Prime Number Case
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Monique Combescure
mcombe@ipnl.in2p3.fr
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Abstract
In this paper, we consider the problem of Mutually Unbiased Bases in prime dimension d. It is known to provide exactly d + 1 mutually unbiased bases. We revisit this problem using a class of circulant d × d matrices. The constructive proof of a set of d + 1 mutually unbiased bases follows, together with a set of properties of Gauss sums, and of bi-unimodular sequences.
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Published
2009-09-01
How to Cite
[1]
M. Combescure, “Circulant Matrices, Gauss Sums and Mutually Unbiased Bases, I. The Prime Number Case”, CUBO, vol. 11, no. 4, pp. 73–86, Sep. 2009.
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